Edit Profile (opens in new tab) Fröhlich, Jürg Martin Compute Distance To: Compute Author ID: frohlich.jurg-martin Published as: Fröhlich, Jürg; Fröhlich, J.; Fröhlich, Jürg Martin; Fröhlich, Jürg M. Homepage: http://www.itp.phys.ethz.ch/research/mathphys/froehlich External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 236 Publications since 1974, including 4 Books 5 Contributions as Editor · 2 Further Contributions Biographic References: 3 Publications Co-Authors: 163 Co-Authors with 212 Joint Publications 3,971 Co-Co-Authors all top 5 Co-Authors 25 single-authored 21 Sigal, Israel Michael 17 Pizzo, Alessandro 16 Bach, Volker 11 Schubnel, Baptiste 10 Marchetti, Pieralberto A. 9 Felder, Giovanni 9 Graf, Gian Michele 9 Schlein, Benjamin 9 Spencer, Thomas C. 8 Chen, Thomas M. 8 Faupin, Jérémy 8 Schweigert, Christoph 8 Studer, Urban M. 8 Ueltschi, Daniel 7 De Roeck, Wojciech 7 Fuchs, Jürgen 7 Griesemer, Marcel 7 Knowles, Antti 6 Ballesteros, Miguel 6 Chamseddine, Ali Hani 6 Gang, Zhou 6 Grandjean, Olivier 6 Lenzmann, Enno 5 Fernández, Roberto 5 Merkli, Marco 5 Recknagel, Andreas 5 Thiran, Emmanuel 4 Chayes, Jennifer Tour 4 Fraas, Martin 4 Gabbiani, Fabrizio 4 Jonsson, B. Lars G. 4 Kerler, Thomas 4 Lebowitz, Joel Louis 4 Runkel, Ingo 4 Yau, Horng-Tzer 3 Abou-Salem, Walid K. 3 Albanese, Claudio 3 Brandenberger, Robert H. 3 Datta, Nilanjana 3 Fefferman, Charles Louis 3 Pedrini, Bill 3 Pfister, Charles-Edouard 3 Rey-Bellet, Luc 3 Schwarz, Simon 3 Soffer, Avraham 3 Sohinger, Vedran 3 Tsai, Tai-Peng 3 Walcher, Johannes 2 Aizenman, Michael 2 Albert, Carlo 2 Blanchard, Philippe 2 Borgs, Christian 2 Bricmont, Jean 2 Carlen, Eric Anders 2 Cattaneo, Alberto Sergio 2 Crawford, Nicholas 2 Deckert, Dirk-André 2 Del Vecchio, Simone 2 Egli, Daniel 2 Gustafson, Stephen J. 2 Hoppe, Jens 2 Namba, Ryo 2 Pickl, Peter 2 Rodriguez, Pierre-François 2 Rossi, Stefano 2 Schnelli, Kevin 2 Schomerus, Volker 2 Stora, Raymond 2 Wayne, Clarence Eugene 1 Adler, Stephen L. 1 Alekseev, Anton Yu. 1 Alladi, Krishnaswami 1 Ambjørn, Jan 1 Andrews, George Eyre 1 Aschbacher, Walter H. 1 Atiyah, Michael Francis 1 Bauerschmidt, Roland 1 Benassi, Costanza 1 Benettin, Giancarlo 1 Benoist, Tristan 1 Bieri, Samuel 1 Birke, Lothar 1 Björnberg, Jakob Erik 1 Bleher, Pavel M. 1 Bleile, Beatrice 1 Bovier, Anton 1 Breteaux, Sébastien 1 Brézin, Edouard 1 Bugliaro, Luca 1 Chang, Sun-Yung Alice 1 Chayes, Lincoln 1 Connes, Alain 1 Constantinescu, Florin 1 Córdoba Barba, Antonio Juan 1 Cordoba, Diego 1 Corwin, Ivan Z. 1 Cotta-Ramusino, Paolo 1 Cugliandolo, Leticia F. 1 Cuzinatto, Rodrigo Rocha 1 Deift, Percy A. ...and 84 more Co-Authors all top 5 Serials 79 Communications in Mathematical Physics 20 Journal of Statistical Physics 16 Journal of Mathematical Physics 11 Advances in Mathematics 10 Annales Henri Poincaré 8 Nuclear Physics. B 5 Reviews in Mathematical Physics 5 Journal of Functional Analysis 4 Helvetica Physica Acta 4 Letters in Mathematical Physics 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 3 Notices of the American Mathematical Society 3 Journal of Cosmology and Astroparticle Physics 2 Nonlinearity 2 Advances in Applied Mathematics 2 Nuclear Physics. B. Proceedings Supplements 2 Physical Review Letters 2 Lecture Notes in Physics 2 Journal of Physics A: Mathematical and Theoretical 1 International Journal of Modern Physics A 1 Communications on Pure and Applied Mathematics 1 Journal of Geometry and Physics 1 Fortschritte der Physik 1 Compositio Mathematica 1 Annals of Physics 1 Communications in Partial Differential Equations 1 Proceedings of the National Academy of Sciences of the United States of America 1 Séminaire Équations aux Dérivées Partielles 1 Mathematical Physics, Analysis and Geometry 1 Annals of Mathematics. Second Series 1 Physica Scripta 1 Journal of Evolution Equations 1 Oberwolfach Reports 1 Bulletin of the American Mathematical Society 1 Advanced Series in Mathematical Physics 1 Lecture Notes in Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Texts and Monographs in Physics all top 5 Fields 163 Quantum theory (81-XX) 93 Statistical mechanics, structure of matter (82-XX) 33 Partial differential equations (35-XX) 27 Functional analysis (46-XX) 25 Operator theory (47-XX) 24 Probability theory and stochastic processes (60-XX) 23 Global analysis, analysis on manifolds (58-XX) 15 Relativity and gravitational theory (83-XX) 12 Differential geometry (53-XX) 10 History and biography (01-XX) 8 Nonassociative rings and algebras (17-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Fluid mechanics (76-XX) 7 Manifolds and cell complexes (57-XX) 6 Mechanics of particles and systems (70-XX) 5 General and overarching topics; collections (00-XX) 5 Astronomy and astrophysics (85-XX) 4 Category theory; homological algebra (18-XX) 4 Topological groups, Lie groups (22-XX) 3 Group theory and generalizations (20-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Optics, electromagnetic theory (78-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 209 Publications have been cited 3,988 times in 2,427 Documents Cited by ▼ Year ▼ Absence of diffusion in the Anderson tight binding model for large disorder or low energy. Zbl 0519.60066Fröhlich, Jürg; Spencer, Thomas 259 1983 Quantum electrodynamics of confined nonrelativistic particles. Zbl 0923.47040Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 141 1998 Constructive proof of localization in the Anderson tight binding model. Zbl 0573.60096Fröhlich, J.; Martinelli, F.; Scoppola, E.; Spencer, T. 119 1985 Spectral analysis for systems of atoms and molecules coupled to the quantized radiation field. Zbl 0965.81134Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 106 1999 Operator algebras and conformal field theory. Zbl 0801.46084Gabbiani, Fabrizio; Fröhlich, Jürg 81 1993 Boson stars as solitary waves. Zbl 1126.35064Fröhlich, Jürg; Jonsson, B. Lars G.; Lenzmann, Enno 80 2007 Localization for a class of one dimensional quasi-periodic Schrödinger operators. Zbl 0722.34070Fröhlich, J.; Spencer, T.; Wittwer, P. 80 1990 Blowup for nonlinear wave equations describing boson stars. Zbl 1135.35011Fröhlich, Jürg; Lenzmann, Enno 77 2007 Renormalization group analysis of spectral problems in quantum field theory. Zbl 0923.47041Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 77 1998 On the mean-field limit of bosons with Coulomb two-body interaction. Zbl 1177.82016Fröhlich, Jürg; Knowles, Antti; Schwarz, Simon 69 2009 On the infrared problem in a model of scalar electrons and massless, scalar bosons. Zbl 1216.81151Fröhlich, Jürg 68 1974 Stability of Coulomb systems with magnetic fields. I: The one-electron atom. Zbl 0595.35098Fröhlich, Jürg; Lieb, Elliott H.; Loss, Michael 65 1986 Duality and defects in rational conformal field theory. Zbl 1116.81060Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 64 2007 Random walks, critical phenomena and triviality in quantum field theory. Zbl 0761.60061Fernández, Roberto; Fröhlich, Jürg; Sokal, Alan D. 62 1992 The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy. Zbl 1110.82302Fröhlich, Jürg; Spencer, Thomas 60 1982 Gravity in non-commutative geometry. Zbl 0818.58008Chamseddine, A. H.; Felder, G.; Fröhlich, J. 57 1993 Correspondences of ribbon categories. Zbl 1087.18006Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 53 2006 Solitary wave dynamics in an external potential. Zbl 1075.35075Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M. 52 2004 The geometry of WZW branes. Zbl 1002.81042Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 51 2000 On a sharp transition from area law to perimeter law in a system of random surfaces. Zbl 0529.60099Aizenman, M.; Chayes, J. T.; Chayes, L.; Fröhlich, J.; Russo, L. 47 1983 Return to equilibrium. Zbl 1037.82029Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael 45 2000 Asymptotic completeness for Compton scattering. Zbl 1103.81035Fröhlich, J.; Griesemer, M.; Schlein, B. 44 2004 Mean-field limit of quantum Bose gases and nonlinear Hartree equation. Zbl 1292.81040Fröhlich, Jürg; Lenzmann, Enno 43 2004 Localization in disordered, nonlinear dynamical systems. Zbl 0629.60105Fröhlich, Jürg; Spencer, Thomas; Wayne, C. Eugene 42 1986 Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 41 2003 Mean-field- and classical limit of many-body Schrödinger dynamics for bosons. Zbl 1172.82011Fröhlich, Jürg; Graffi, Sandro; Schwarz, Simon 40 2007 Braid statistics in local quantum theory. Zbl 0723.57002Fröhlich, J.; Gabbiani, F. 40 1990 On the point-particle (Newtonian) limit of the nonlinear Hartree equation. Zbl 1025.81015Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 39 2002 Infrared-finite algorithms in QED: the groundstate of an atom interacting with the quantized radiation field. Zbl 1118.81083Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro 39 2006 Quantum field theories of vortices and anyons. Zbl 0819.58045Fröhlich, J.; Marchetti, P. A. 38 1989 Atomism and quantization. Zbl 1115.81071Fröhlich, J.; Knowles, A.; Pizzo, A. 37 2007 Asymptotic electromagnetic fields in models of quantum-mechanical matter interacting with the quantized radiation field. Zbl 0989.78001Fröhlich, J.; Griesemer, M.; Schlein, B. 36 2001 Braid matrices and structure constants for minimal conformal models. Zbl 0696.17009Felder, G.; Fröhlich, J.; Keller, G. 36 1989 A microscopic derivation of the time-dependent Hartree-Fock equation with Coulomb two-body interaction. Zbl 1269.82042Fröhlich, Jürg; Knowles, Antti 35 2011 The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 34 2007 Positive commutators and the spectrum of Pauli-Fierz Hamiltonian of atoms and molecules. Zbl 0962.81011Bach, Volker; Fröhlich, Jürg; Sigal, Israel Michael; Soffer, Avy 34 1999 Infraparticle scattering states in non-relativistic QED. I: The Bloch-Nordsieck paradigm. Zbl 1208.81211Chen, Thomas; Fröhlich, Jürg; Pizzo, Alessandro 33 2010 Asymptotic completeness for Rayleigh scattering. Zbl 1008.81101Fröhlich, J.; Griesemer, M.; Schlein, B. 33 2002 Dynamical collapse of white dwarfs in Hartree- and Hartree-Fock theory. Zbl 1130.85004Fröhlich, Jürg; Lenzmann, Enno 32 2007 The Chern-Simons theory and knot polynomials. Zbl 0681.57019Fröhlich, J.; King, C. 32 1989 Spectral theory for the standard model of non-relativistic QED. Zbl 1156.81044Fröhlich, J.; Griesemer, M.; Sigal, I. M. 29 2008 Topological \(BF\) theories in 3 and 4 dimensions. Zbl 0848.57005Cattaneo, Alberto S.; Cotta-Ramusino, Paolo; Fröhlich, Jürg; Martellini, Maurizio 29 1995 Low-temperature phase diagrams of quantum lattice systems. I: Stability for quantum perturbations of classical systems with finitely-many ground states. Zbl 1081.82506Datta, Nilanjana; Fernández, Roberto; Fröhlich, Jürg 29 1996 Quantum groups, quantum categories and quantum field theory. Zbl 0789.17005Fröhlich, Jürg; Kerler, Thomas 28 1993 Classical and quantum statistical mechanics in one and two dimensions: two-component Yukawa- and Coulomb systems. Zbl 1092.82505Fröhlich, Jürg 28 1976 Supersymmetric quantum theory and non-commutative geometry. Zbl 0947.58010Fröhlich, J.; Grandjean, O.; Recknagel, A. 27 1999 Correlation functions and boundary conditions in rational conformal field theory and three-dimensional topology. Zbl 1002.81045Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 27 2002 Mathematical theory of nonrelativistic matter and radiation. Zbl 0831.47048Bach, V.; Fröhlich, J.; Sigal, I. M. 27 1995 Effective dynamics for Boson stars. Zbl 1124.35084Fröhlich, J.; Jonsson, B. L. G.; Lenzmann, E. 26 2007 Another return of “Return to equilibrium”. Zbl 1113.82038Fröhlich, Jürg; Merkli, Marco 26 2004 Symmetry breaking regime in the nonlinear Hartree equation. Zbl 1060.81012Aschbacher, W. H.; Fröhlich, J.; Graf, G. M.; Schnee, K.; Troyer, M. 25 2002 Dissipative transport: thermal contacts and tunnelling junctions. Zbl 1106.82021Fröhlich, Jürg; Merkli, Marco; Ueltschi, Daniel 24 2003 Improved perturbation expansion for disordered systems: Beating Griffiths singularities. Zbl 0574.60098Fröhlich, Jürg; Imbrie, John Z. 24 1984 Long time motion of NLS solitary waves in a confining potential. Zbl 1100.81019Jonsson, B. Lars G.; Fröhlich, Jürg; Gustafson, Stephen; Sigal, Israel Michael 24 2006 Analyticity of the density of states and replica method for random Schrödinger operators on a lattice. Zbl 0591.60060Constantinescu, F.; Fröhlich, J.; Spencer, T. 23 1984 Conformal boundary conditions and three-dimensional topological field theory. Zbl 1038.81520Felder, Giovanni; Fröhlich, Jürg; Fuchs, Jürgen; Schweigert, Christoph 23 2000 Schwinger functions and their generating functionals. II. Markovian and generalized path space measures on \(\mathcal S'\). Zbl 0345.46058Fröhlich, Jürg 22 1977 Statistical mechanics of vortices in an inviscid two-dimensional fluid. Zbl 0505.76037Fröhlich, Jürg; Ruelle, David 22 1982 On virtual representations of symmetric spaces and their analytic continuation. Zbl 0537.22017Fröhlich, J.; Osterwalder, K.; Seiler, E. 22 1983 The gravitational sector in the Connes-Lott formulation of the standard model. Zbl 0846.58006Chamseddine, A. H.; Fröhlich, J.; Grandjean, O. 22 1995 Statistical mechanical methods in particle structure analysis of lattice field theories. II. Scalar and surface models. Zbl 1223.82010Bricmont, J.; Fröhlich, J. 22 1985 A Nekhoroshev-type theorem for Hamiltonian systems with infinitely many degrees of freedom. Zbl 0825.58011Benettin, Giancarlo; Fröhlich, Jürg; Giorgilli, Antonio 21 1988 Quantum field theory of anyons. Zbl 0695.58031Fröhlich, J.; Marchetti, P.-A. 20 1988 Infraparticle scattering states in nonrelativistic quantum electrodynamics. II: Mass shell properties. Zbl 1189.81240Chen, Thomas; Fröhlich, Jürg; Pizzo, Alessandro 20 2009 Semi-infinite Ising model. II: The wetting and layering transitions. Zbl 1108.82302Fröhlich, Jürg; Pfister, Charles-Ed. 19 1987 Renormalized electron mass in nonrelativistic QED. Zbl 1208.81212Fröhlich, Jürg; Pizzo, Alessandro 19 2010 Application of commutator theorems to the integration of representations of Lie algebras and commutation relations. Zbl 0374.46065Fröhlich, J. 18 1977 Supersymmetric quantum theory and differential geometry. Zbl 0910.53047Fröhlich, J.; Grandjean, O.; Recknagel, A. 18 1998 On the extended nature of edge states of quantum Hall Hamiltonians. Zbl 1004.81043Fröhlich, J.; Graf, G. M.; Walcher, J. 18 2000 The reconstruction of local observable algebras from the Euclidean Green’s functions of relativistic quantum field theory. Zbl 0364.46051Driessler, W.; Fröhlich, J. 16 1977 Adiabatic theorems and reversible isothermal processes. Zbl 1115.82019Abou-Salem, Walid K.; Fröhlich, Jürg 16 2005 Schwinger functions and their generating functionals. I. Zbl 0345.46057Fröhlich, Jürg 15 1974 Adiabatic theorems for quantum resonances. Zbl 1153.81010Salem, Walid K. Abou; Fröhlich, Jürg 15 2007 Intersection properties of simple random walks: A renormalization group approach. Zbl 0573.60065Felder, G.; Fröhlich, J. 15 1985 Statistical mechanical methods in particle structure analysis of lattice field theories. I. General theory. Zbl 1223.81146Bricmont, J.; Fröhlich, J. 15 1985 Low-temperature phase diagrams of quantum lattice systems. II: Convergent perturbation expansions and stability in systems with infinite degeneracy. Zbl 0867.47049Datta, Nilanjana; Fröhlich, Jürg; Rey-Bellet, Luc; Fernández, Roberto 14 1996 Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions \({d \leqslant 3}\). Zbl 1381.81177Fröhlich, Jürg; Knowles, Antti; Schlein, Benjamin; Sohinger, Vedran 14 2017 Diffusion of a massive quantum particle coupled to a quasi-free thermal medium. Zbl 1229.60106De Roeck, W.; Fröhlich, J. 13 2011 On spectral renormalization group. Zbl 1180.81102Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael 13 2009 Stability of ultraviolet-cutoff quantum electrodynamics with non-relativistic matter. Zbl 0916.46059Fefferman, Charles; Fröhlich, Jürg; Graf, Gian Michele 13 1997 Thermal ionization. Zbl 1067.82037Fröhlich, Jürg; Merkli, Marco 13 2004 Absence of crystalline ordering in two dimensions. Zbl 0592.58016Fröhlich, Jürg; Pfister, Charles-Edouard 13 1986 Two-dimensional conformal field theory and three-dimensional topology. Zbl 0708.57005Fröhlich, J.; King, C. 13 1989 KMS, etc. Zbl 1027.82026Birke, Lothar; Fröhlich, Jürg 13 2002 Asymptotic form of zero energy wave functions in supersymmetric matrix models. Zbl 0951.81083Fröhlich, J.; Graf, G. M.; Hasler, D.; Hoppe, J.; Yau, S.-T. 13 2000 Infrared-finite algorithms in QED. II. The expansion of the groundstate of an atom interacting with the quantized radiation field. Zbl 1161.81026Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro 12 2009 Quantum Brownian motion in a simple model system. Zbl 1298.82036De Roeck, W.; Fröhlich, J.; Pizzo, A. 12 2010 On the structure of unitary conformal field theory. I: Existence of conformal blocks. Zbl 0683.46053Felder, G.; Fröhlich, J.; Keller, G. 12 1989 Universality in quantum Hall systems: coset construction of incompressible states. Zbl 0984.81202Fröhlich, Jürg; Pedrini, Bill; Schweigert, Christoph; Walcher, Johannes 12 2001 On a classical limit of quantum theory and the nonlinear Hartree equation. Special volume of the journal Geometric and Functional Analysis. Zbl 1050.81015Fröhlich, Jürg; Tsai, Tai-Peng; Yau, Horng-Tzer 12 2000 Local decay in non-relativistic QED. Zbl 1237.81125Chen, T.; Faupin, J.; Fröhlich, J.; Sigal, I. M. 12 2012 Unbounded, symmetric semigroups on a separable Hilbert space are essentially selfadjoint. Zbl 0452.47043Fröhlich, J. 11 1980 Rayleigh scattering at atoms with dynamical nuclei. Zbl 1137.81047Fröhlich, J.; Griesemer, M.; Schlein, B. 11 2007 Fundamental strings in D\(p\)-D\(q\) brane systems. Zbl 0984.81114Fröhlich, Jürg; Grandjean, Olivier; Recknagel, Andreas; Schomerus, Volker 11 2000 Periodic solutions of some infinite-dimensional Hamiltonian systems associated with nonlinear partial difference equations. I. Zbl 0696.35185Albanese, C.; Fröhlich, J. 11 1988 Soliton quantization in lattice field theories. Zbl 0625.58038Fröhlich, J.; Marchetti, P. A. 11 1987 Spectral renormalization group and local decay in the standard model of non-relativistic quantum electrodynamics. Zbl 1218.81082Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael 10 2011 An infrared-finite algorithm for Rayleigh scattering amplitudes, and Bohr’s frequency condition. Zbl 1123.81046Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro 10 2007 Conformal field theory and geometry of strings. Zbl 0826.58007Fröhlich, Jürg; Gawȩdzki, Krzysztof 10 1994 \(U(1)\times{}SU(2)\)-gauge invariance of non-relativistic quantum mechanics, and generalized Hall effects. Zbl 0758.53048Fröhlich, J.; Studer, U. M. 10 1992 The time-evolution of states in quantum mechanics according to the ETH-approach. Zbl 07488545Fröhlich, Jürg; Pizzo, Alessandro 1 2022 Relativistic quantum theory. Zbl 1473.81083Fröhlich, Jürg 2 2021 Causal fermion systems and the ETH approach to quantum theory. Zbl 1475.83003Finster, Felix; Fröhlich, Jürg; Oppio, Marco; Paganini, Claudio F. 2 2021 Lie-Schwinger block-diagonalization and gapped quantum chains with unbounded interactions. Zbl 1462.82037Del Vecchio, Simone; Fröhlich, Jürg Martin; Pizzo, Alessandro; Rossi, S. 1 2021 The appearance of particle tracks in detectors. Zbl 1472.81011Ballesteros, Miguel; Benoist, Tristan; Fraas, Martin; Fröhlich, Jürg 1 2021 Lie-Schwinger block-diagonalization and gapped quantum chains. Zbl 1439.82011Fröhlich, J.; Pizzo, A. 7 2020 A path-integral analysis of interacting Bose gases and loop gases. Zbl 1446.35203Fröhlich, Jürg; Knowles, Antti; Schlein, Benjamin; Sohinger, Vedran 4 2020 Quantum spins and random loops on the complete graph. Zbl 1439.82054Björnberg, Jakob E.; Fröhlich, Jürg; Ueltschi, Daniel 3 2020 Lie-Schwinger block-diagonalization and gapped quantum chains: analyticity of the ground-state energy. Zbl 1446.82005Del Vecchio, S.; Fröhlich, J.; Pizzo, A.; Rossi, S. 2 2020 A brief review of the “ETH-approach to quantum mechanics”. Zbl 1483.81006Fröhlich, Jürg 1 2020 A microscopic derivation of time-dependent correlation functions of the \(1D\) cubic nonlinear Schrödinger equation. Zbl 1421.82022Fröhlich, Jürg; Knowles, Antti; Schlein, Benjamin; Sohinger, Vedran 5 2019 Perturbation theory for weak measurements in quantum mechanics, systems with finite-dimensional state space. Zbl 1406.81009Ballesteros, Miguel; Crawford, Nick; Fraas, Martin; Fröhlich, Jürg; Schubnel, Baptiste 5 2019 Asymptotic completeness in dissipative scattering theory. Zbl 1403.81059Faupin, Jérémy; Fröhlich, Jürg 4 2018 Non-demolition measurements of observables with general spectra. Zbl 1423.81023Ballesteros, M.; Crawford, N.; Fraas, M.; Fröhlich, J.; Schubnel, B. 3 2018 Chiral anomaly, topological field theory, and novel states of matter. Zbl 1397.81460Fröhlich, Jürg 1 2018 Chiral anomaly, topological field theory, and novel states of matter. Zbl 1395.82247Fröhlich, Jürg 1 2018 Gibbs measures of nonlinear Schrödinger equations as limits of many-body quantum states in dimensions \({d \leqslant 3}\). Zbl 1381.81177Fröhlich, Jürg; Knowles, Antti; Schlein, Benjamin; Sohinger, Vedran 14 2017 Scattering theory for Lindblad master equations. Zbl 1365.81077Falconi, Marco; Faupin, Jérémy; Fröhlich, Jürg; Schubnel, Baptiste 6 2017 Decay of correlations in 2D quantum systems with continuous symmetry. Zbl 1460.82009Benassi, Costanza; Fröhlich, Jürg; Ueltschi, Daniel 3 2017 On cluster properties of classical ferromagnets in an external magnetic field. Zbl 1371.82018Fröhlich, Jürg; Rodríguez, Pierre-François 2 2017 Indirect acquisition of information in quantum mechanics. Zbl 1337.81015Ballesteros, M.; Fraas, M.; Fröhlich, J.; Schubnel, B. 9 2016 A “garden of forking paths” - the quantum mechanics of histories of events. Zbl 1349.81024Blanchard, Philippe; Fröhlich, Jürg; Schubnel, Baptiste 7 2016 Dynamics of sound waves in an interacting Bose gas. Zbl 1334.81140Deckert, D-A.; Fröhlich, J.; Pickl, P.; Pizzo, A. 6 2016 Exponential relaxation to equilibrium for a one-dimensional focusing non-linear Schrödinger equation with noise. Zbl 1341.35148Carlen, Eric A.; Fröhlich, Jürg; Lebowitz, Joel 5 2016 The preparation of states in quantum mechanics. Zbl 1346.81017Fröhlich, Jürg; Schubnel, Baptiste 4 2016 Quantum Brownian motion induced by thermal noise in the presence of disorder. Zbl 1342.82122Fröhlich, Jürg; Schenker, Jeffrey 4 2016 On the probabilistic nature of quantum mechanics and the notion of closed systems. Zbl 1339.81009Faupin, Jérémy; Fröhlich, Jürg; Schubnel, Baptiste 4 2016 The quest for laws and structure. Zbl 1354.00067Fröhlich, Jürg 1 2016 Some properties of correlations of quantum lattice systems in thermal equilibrium. Zbl 1318.82008Fröhlich, Jürg; Ueltschi, Daniel 5 2015 Continuous renormalization group analysis of spectral problems in quantum field theory. Zbl 1308.81086Bach, Volker; Ballesteros, Miguel; Fröhlich, Jürg 5 2015 Quantum electrodynamics of atomic resonances. Zbl 1318.81059Ballesteros, Miguel; Faupin, Jérémy; Fröhlich, Jürg; Schubnel, Baptiste 4 2015 Emission of Cherenkov radiation as a mechanism for Hamiltonian friction. Zbl 1305.82043Fröhlich, Jürg; Gang, Zhou 9 2014 Effective dynamics of a tracer particle interacting with an ideal Bose gas. Zbl 1391.81074Deckert, Dirk-André; Fröhlich, Jürg; Pickl, Peter; Pizzo, Alessandro 6 2014 Analyticity of the self-energy in total momentum of an atom coupled to the quantized radiation field. Zbl 1300.81084Faupin, Jérémy; Fröhlich, Jürg; Schubnel, Baptiste 6 2014 Ballistic motion of a tracer particle coupled to a Bose gas. Zbl 1311.82032Fröhlich, Jürg; Gang, Zhou 5 2014 Quantum diffusion with drift and the Einstein relation. I. Zbl 1305.82051De Roeck, Wojciech; Fröhlich, Jürg; Schnelli, Kevin 3 2014 Fluctuations in a kinetic transport model for quantum friction. Zbl 1302.60102Bauerschmidt, Roland; de Roeck, Wojciech; Fröhlich, Jürg 2 2014 Quantum diffusion with drift and the Einstein relation. II. Zbl 1323.82028De Roeck, Wojciech; Fröhlich, Jürg; Schnelli, Kevin 1 2014 Effective dynamics of an electron coupled to an external potential in non-relativistic QED. Zbl 1275.81091Bach, Volker; Chen, Thomas; Faupin, Jérémy; Fröhlich, Jürg; Sigal, Israel Michael 9 2013 Hamiltonian dynamics of a particle interacting with a wave field. Zbl 1281.35084Egli, Daniel; Fröhlich, Jürg; Gang, Zhou; Shao, Arick; Sigal, Israel Michael 4 2013 Do we understand quantum mechanics – finally? Zbl 1266.81061Fröhlich, Jürg; Schubnel, Baptiste 1 2013 Local decay in non-relativistic QED. Zbl 1237.81125Chen, T.; Faupin, J.; Fröhlich, J.; Sigal, I. M. 12 2012 Friction in a model of Hamiltonian dynamics. Zbl 1263.82033Fröhlich, Jürg; Gang, Zhou; Soffer, Avy 9 2012 Some applications of the Lee-Yang theorem. Zbl 1311.82010Fröhlich, Jürg; Rodriguez, Pierre-François 8 2012 Exponential convergence to the Maxwell distribution for some class of Boltzmann equations. Zbl 1270.35100Fröhlich, Jürg; Gang, Zhou 5 2012 Quantum theory from small to large scales. École de Physique des Houches, Session XCV, 2–27 August 2010. Zbl 1244.82002 1 2012 A microscopic derivation of the time-dependent Hartree-Fock equation with Coulomb two-body interaction. Zbl 1269.82042Fröhlich, Jürg; Knowles, Antti 35 2011 Diffusion of a massive quantum particle coupled to a quasi-free thermal medium. Zbl 1229.60106De Roeck, W.; Fröhlich, J. 13 2011 Spectral renormalization group and local decay in the standard model of non-relativistic quantum electrodynamics. Zbl 1218.81082Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael 10 2011 Some Hamiltonian models of friction. Zbl 1272.70067Fröhlich, Jürg; Gang, Zhou; Soffer, Avy 6 2011 Infraparticle scattering states in non-relativistic QED. I: The Bloch-Nordsieck paradigm. Zbl 1208.81211Chen, Thomas; Fröhlich, Jürg; Pizzo, Alessandro 33 2010 Renormalized electron mass in nonrelativistic QED. Zbl 1208.81212Fröhlich, Jürg; Pizzo, Alessandro 19 2010 Quantum Brownian motion in a simple model system. Zbl 1298.82036De Roeck, W.; Fröhlich, J.; Pizzo, A. 12 2010 Batalin-Vilkovisky integrals in finite dimensions. Zbl 1274.81216Albert, Carlo; Bleile, B.; Fröhlich, J. 7 2010 Absence of embedded mass shells: Cerenkov radiation and quantum friction. Zbl 1213.81166De Roeck, Wojciech; Fröhlich, Jürg; Pizzo, Alessandro 5 2010 Ionization of atoms by intense laser pulses. Zbl 1208.81244Fröhlich, Jürg; Pizzo, Alessandro; Schlein, Benjamin 2 2010 On the mean-field limit of bosons with Coulomb two-body interaction. Zbl 1177.82016Fröhlich, Jürg; Knowles, Antti; Schwarz, Simon 69 2009 Infraparticle scattering states in nonrelativistic quantum electrodynamics. II: Mass shell properties. Zbl 1189.81240Chen, Thomas; Fröhlich, Jürg; Pizzo, Alessandro 20 2009 On spectral renormalization group. Zbl 1180.81102Fröhlich, Jürg; Griesemer, Marcel; Sigal, Israel Michael 13 2009 Infrared-finite algorithms in QED. II. The expansion of the groundstate of an atom interacting with the quantized radiation field. Zbl 1161.81026Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro 12 2009 On the theory of resonances in non-relativistic quantum electrodynamics and related models. Zbl 1171.81428Salem, W. K. Abou; Faupin, J.; Fröhlich, J.; Sigal, I. M. 9 2009 Colliding solitons for the nonlinear Schrödinger equation. Zbl 1184.35289Abou Salem, W. K.; Fröhlich, J.; Sigal, I. M. 9 2009 Bogolubov-Hartree-Fock mean field theory for neutron stars and other systems with attractive interactions. Zbl 1248.81277Bach, Volker; Fröhlich, Jürg; Jonsson, Lars 7 2009 Spin, or actually: spin and quantum statistics. Zbl 1198.82015Fröhlich, Jürg 2 2009 On the absence of excited eigenstates of atoms in QED. Zbl 1179.81174Fröhlich, Jürg; Pizzo, Alessandro 2 2009 Spectral theory for the standard model of non-relativistic QED. Zbl 1156.81044Fröhlich, J.; Griesemer, M.; Sigal, I. M. 29 2008 Boson stars as solitary waves. Zbl 1126.35064Fröhlich, Jürg; Jonsson, B. Lars G.; Lenzmann, Enno 80 2007 Blowup for nonlinear wave equations describing boson stars. Zbl 1135.35011Fröhlich, Jürg; Lenzmann, Enno 77 2007 Duality and defects in rational conformal field theory. Zbl 1116.81060Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 64 2007 Mean-field- and classical limit of many-body Schrödinger dynamics for bosons. Zbl 1172.82011Fröhlich, Jürg; Graffi, Sandro; Schwarz, Simon 40 2007 Atomism and quantization. Zbl 1115.81071Fröhlich, J.; Knowles, A.; Pizzo, A. 37 2007 The renormalized electron mass in non-relativistic quantum electrodynamics. Zbl 1118.81028Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 34 2007 Dynamical collapse of white dwarfs in Hartree- and Hartree-Fock theory. Zbl 1130.85004Fröhlich, Jürg; Lenzmann, Enno 32 2007 Effective dynamics for Boson stars. Zbl 1124.35084Fröhlich, J.; Jonsson, B. L. G.; Lenzmann, E. 26 2007 Adiabatic theorems for quantum resonances. Zbl 1153.81010Salem, Walid K. Abou; Fröhlich, Jürg 15 2007 Rayleigh scattering at atoms with dynamical nuclei. Zbl 1137.81047Fröhlich, J.; Griesemer, M.; Schlein, B. 11 2007 An infrared-finite algorithm for Rayleigh scattering amplitudes, and Bohr’s frequency condition. Zbl 1123.81046Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro 10 2007 Cyclic thermodynamic processes and entropy production. Zbl 1197.82050Salem, Walid K. Abou; Fröhlich, Jürg 9 2007 Coherent infrared representations in non-relativistic QED. Zbl 1129.81029Chen, Thomas; Fröhlich, Jürg 8 2007 Status of the fundamental laws of thermodynamics. Zbl 1152.82006Salem, Walid K. Abou; Fröhlich, Jürg 6 2007 Semi-classical dynamics in quantum spin systems. Zbl 1189.82078Fröhlich, Jürg; Knowles, Antti; Lenzmann, Enno 3 2007 Correspondences of ribbon categories. Zbl 1087.18006Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 53 2006 Infrared-finite algorithms in QED: the groundstate of an atom interacting with the quantized radiation field. Zbl 1118.81083Bach, Volker; Fröhlich, Jürg; Pizzo, Alessandro 39 2006 Long time motion of NLS solitary waves in a confining potential. Zbl 1100.81019Jonsson, B. Lars G.; Fröhlich, Jürg; Gustafson, Stephen; Sigal, Israel Michael 24 2006 Mott transition in lattice boson models. Zbl 1115.82003Fernández, R.; Fröhlich, J.; Ueltschi, D. 6 2006 Magnetism and the Weiss exchange field – a theoretical analysis motivated by recent experiments. Zbl 1104.82052Albert, Carlo; Ferrari, L.; Fröhlich, J.; Schlein, B. 3 2006 Stability of nonrelativistic quantum mechanical matter coupled to the (ultraviolet cutoff) radiation field. Zbl 1125.81320Fefferman, Charles; Fröhlich, Jürg; Graf, Gian Michele 2 2006 Adiabatic theorems and reversible isothermal processes. Zbl 1115.82019Abou-Salem, Walid K.; Fröhlich, Jürg 16 2005 Hund’s rule and metallic ferromagnetism. Zbl 1071.82059Fröhlich, Jürg; Ueltschi, Daniel 3 2005 Picard groups in rational conformal field theory. Zbl 1180.81119Fröhlich, Jürg; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 1 2005 Solitary wave dynamics in an external potential. Zbl 1075.35075Fröhlich, J.; Gustafson, S.; Jonsson, B. L. G.; Sigal, I. M. 52 2004 Asymptotic completeness for Compton scattering. Zbl 1103.81035Fröhlich, J.; Griesemer, M.; Schlein, B. 44 2004 Mean-field limit of quantum Bose gases and nonlinear Hartree equation. Zbl 1292.81040Fröhlich, Jürg; Lenzmann, Enno 43 2004 Another return of “Return to equilibrium”. Zbl 1113.82038Fröhlich, Jürg; Merkli, Marco 26 2004 Thermal ionization. Zbl 1067.82037Fröhlich, Jürg; Merkli, Marco 13 2004 Ionization of atoms in a thermal field. Zbl 1142.82347Fröhlich, J.; Merkli, M.; Sigal, I. M. 9 2004 Algebras in tensor categories and coset conformal field theories. Zbl 1052.81090Fröhlich, J.; Fuchs, J.; Runkel, I.; Schweigert, C. 9 2004 Smooth Feshbach map and operator-theoretic renormalization group methods. Zbl 1060.47028Bach, Volker; Chen, Thomas; Fröhlich, Jürg; Sigal, Israel Michael 41 2003 Dissipative transport: thermal contacts and tunnelling junctions. Zbl 1106.82021Fröhlich, Jürg; Merkli, Marco; Ueltschi, Daniel 24 2003 Topological field theory interpretation of string topology. Zbl 1052.81095Cattaneo, Alberto S.; Fröhlich, Jürg; Pedrini, Bill 8 2003 ...and 109 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,271 Authors 123 Fröhlich, Jürg Martin 33 Sigal, Israel Michael 32 Klein, Abel 31 Fuchs, Jürgen 30 Schweigert, Christoph 26 Hiroshima, Fumio 25 Faupin, Jérémy 24 Schlein, Benjamin 23 Chen, Thomas M. 23 De Roeck, Wojciech 22 Albeverio, Sergio A. 22 Pizzo, Alessandro 22 Runkel, Ingo 21 Chulaevsky, Victor 21 Tanimoto, Yoh 20 Bach, Volker 18 Merkli, Marco 18 Pillet, Claude-Alain 18 Seiringer, Robert 17 Kong, Liang 16 Dybalski, Wojciech 16 Longo, Roberto 16 Soffer, Avraham 16 Solovej, Jan Philip 15 Chayes, Lincoln 15 Erdős, László 15 Jakšić, Vojkan 15 Lenzmann, Enno 15 Miyao, Tadahiro 15 Spohn, Herbert 14 Aizenman, Michael 14 Griesemer, Marcel 13 Ballesteros, Miguel 13 Chayes, Jennifer Tour 13 Hasler, David G. 13 Jitomirskaya, Svetlana Yakovlevna 13 Lewin, Mathieu 13 Lieb, Elliott H. 13 van Enter, Aernout C. D. 12 Guillot, Jean-Claude 12 Pavlović, Nataša 12 Schomerus, Volker 11 Campanino, Massimo 11 Joye, Alain 11 Møller, Jacob Schach 11 Newman, Charles Michael 11 Phan Thành Nam 11 Pickl, Peter 11 Porta, Marcello 11 Rougerie, Nicolas 11 Spencer, Thomas C. 11 Ueltschi, Daniel 11 Wang, Wei-Min 11 Weiner, Mihály 11 Xu, Feng 10 Amour, Laurent 10 Bambusi, Dario 10 Bourgain, Jean 10 Felder, Giovanni 10 Fredenhagen, Klaus 10 Gérard, Christian 10 Hainzl, Christian 10 Knowles, Antti 10 Könenberg, Martin 10 Martinelli, Fabio 10 Nachtergaele, Bruno 10 Schubnel, Baptiste 9 Arai, Asao 9 Bruneau, Laurent 9 Carpi, Sebastiano 9 Dereziński, Jan 9 Elgart, Alexander 9 Imbrie, John Z. 9 Matte, Oliver 9 Rehren, Karl-Henning 9 Sadel, Christian 9 Simon, Barry 9 Sohinger, Vedran 9 Yuan, Xiaoping 8 Ammari, Zied 8 Bachmann, Sven 8 Barbaroux, Jean-Marie 8 Benedikter, Niels 8 Bischoff, Marcel 8 Borgs, Christian 8 Chamseddine, Ali Hani 8 Dai, Wei 8 Davydov, Alekseĭ Aleksandrovich 8 Deckert, Dirk-André 8 Fraas, Martin 8 Gang, Zhou 8 Georgiev, Lachezar S. 8 Germinet, François 8 Goswami, Debashish 8 Hahn, Atle 8 Hirokawa, Masao 8 Kawahigashi, Yasuyuki 8 Kiessling, Michael Karl-Heinz 8 Loss, Michael 8 Marchetti, Pieralberto A. ...and 2,171 more Authors all top 5 Cited in 258 Serials 476 Communications in Mathematical Physics 225 Journal of Mathematical Physics 191 Journal of Statistical Physics 97 Annales Henri Poincaré 96 Reviews in Mathematical Physics 92 Journal of Functional Analysis 83 Nuclear Physics. B 70 Letters in Mathematical Physics 64 Journal of High Energy Physics 44 Advances in Mathematics 37 Journal of Differential Equations 34 Journal of Geometry and Physics 30 International Journal of Modern Physics A 27 Journal of Mathematical Analysis and Applications 22 Mathematical Physics, Analysis and Geometry 20 Probability Theory and Related Fields 19 Archive for Rational Mechanics and Analysis 18 Annales de l’Institut Henri Poincaré. Physique Théorique 16 Transactions of the American Mathematical Society 14 Inventiones Mathematicae 14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Physica D 13 Physical Review Letters 12 Communications on Pure and Applied Mathematics 12 Theoretical and Mathematical Physics 12 Duke Mathematical Journal 12 Communications in Partial Differential Equations 12 Discrete and Continuous Dynamical Systems 11 Physics Letters. B 11 Reports on Mathematical Physics 11 The Annals of Probability 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 SIAM Journal on Mathematical Analysis 11 Calculus of Variations and Partial Differential Equations 10 International Journal of Theoretical Physics 10 Nonlinearity 10 Journal of Algebra 10 Stochastic Processes and their Applications 9 Journal of the European Mathematical Society (JEMS) 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Journal of Statistical Mechanics: Theory and Experiment 7 Modern Physics Letters A 7 Proceedings of the American Mathematical Society 7 Acta Applicandae Mathematicae 7 Communications in Contemporary Mathematics 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Journal of Spectral Theory 6 Acta Mathematica 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Ergodic Theory and Dynamical Systems 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Geometric and Functional Analysis. GAFA 6 Annals of Physics 6 Bulletin of the American Mathematical Society. New Series 6 Nonlinear Analysis. Real World Applications 6 Journal of Evolution Equations 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Modern Physics Letters B 5 Applicable Analysis 5 Mathematical Methods in the Applied Sciences 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Journal of Soviet Mathematics 5 Memoirs of the American Mathematical Society 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Algebraic & Geometric Topology 5 Communications on Pure and Applied Analysis 5 Foundations of Physics 5 Journal of Physics A: Mathematical and Theoretical 5 Advances in Nonlinear Analysis 5 Séminaire Laurent Schwartz. EDP et Applications 4 International Journal of Modern Physics B 4 General Relativity and Gravitation 4 Physics Reports 4 Mathematische Zeitschrift 4 The Annals of Applied Probability 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Nuclear Physics. B. Proceedings Supplements 4 Selecta Mathematica. New Series 4 Chaos 4 New Journal of Physics 4 International Journal of Geometric Methods in Modern Physics 4 Frontiers of Mathematics in China 4 Discrete and Continuous Dynamical Systems. Series S 4 Advances in Mathematical Physics 4 Science China. Mathematics 3 Classical and Quantum Gravity 3 Journal d’Analyse Mathématique 3 Journal of Computational Physics 3 Reviews of Modern Physics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Mathematische Annalen 3 Applied Mathematics Letters 3 International Journal of Mathematics 3 The Journal of Geometric Analysis 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Journal of Dynamics and Differential Equations 3 Journal of Mathematical Sciences (New York) 3 Random Operators and Stochastic Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Electronic Journal of Probability ...and 158 more Serials all top 5 Cited in 58 Fields 1,338 Quantum theory (81-XX) 735 Statistical mechanics, structure of matter (82-XX) 654 Partial differential equations (35-XX) 350 Probability theory and stochastic processes (60-XX) 301 Operator theory (47-XX) 253 Functional analysis (46-XX) 166 Dynamical systems and ergodic theory (37-XX) 140 Global analysis, analysis on manifolds (58-XX) 119 Relativity and gravitational theory (83-XX) 93 Nonassociative rings and algebras (17-XX) 76 Category theory; homological algebra (18-XX) 70 Ordinary differential equations (34-XX) 62 Differential geometry (53-XX) 54 Manifolds and cell complexes (57-XX) 43 Mechanics of particles and systems (70-XX) 39 Fluid mechanics (76-XX) 36 Associative rings and algebras (16-XX) 35 Topological groups, Lie groups (22-XX) 27 Optics, electromagnetic theory (78-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 24 Combinatorics (05-XX) 23 Group theory and generalizations (20-XX) 22 Algebraic geometry (14-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 22 Astronomy and astrophysics (85-XX) 21 Difference and functional equations (39-XX) 21 Numerical analysis (65-XX) 17 Algebraic topology (55-XX) 16 Real functions (26-XX) 15 Measure and integration (28-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 12 Statistics (62-XX) 12 Information and communication theory, circuits (94-XX) 11 Number theory (11-XX) 11 Functions of a complex variable (30-XX) 10 \(K\)-theory (19-XX) 8 History and biography (01-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Special functions (33-XX) 8 Mechanics of deformable solids (74-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 General and overarching topics; collections (00-XX) 7 Potential theory (31-XX) 6 Convex and discrete geometry (52-XX) 6 Computer science (68-XX) 5 Commutative algebra (13-XX) 5 General topology (54-XX) 4 Abstract harmonic analysis (43-XX) 4 Biology and other natural sciences (92-XX) 3 Mathematical logic and foundations (03-XX) 3 Sequences, series, summability (40-XX) 3 Approximations and expansions (41-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.