Edit Profile (opens in new tab) Spohn, Herbert Compute Distance To: Compute Author ID: spohn.herbert Published as: Spohn, Herbert; Spohn, H. Homepage: http://www.professoren.tum.de/en/spohn-herbert/ External Links: MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 187 Publications since 1975, including 4 Books 7 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 91 Co-Authors with 147 Joint Publications 1,993 Co-Co-Authors all top 5 Co-Authors 48 single-authored 16 Komech, Alexander Ilich 13 Ferrari, Patrik Lino 13 Lebowitz, Joel Louis 8 Lukkarinen, Jani 8 Olla, Stefano 8 Sasamoto, Tomohiro 7 Imaikin, Valery 7 Kunze, Markus 7 Miyao, Tadahiro 6 Hiroshima, Fumio 6 Prahofer, Michael 6 Teufel, Stefan 5 Eyink, Gregory L. 5 Mendl, Christian B. 4 Dudnikova, Tat’yana V. 4 Hübner, Matthias 4 Landim, Claudio 4 Lörinczi, József 4 Minlos, Robert Adol’fovich 3 Betz, Volker 3 Derrida, Bernard 3 Loss, Michael 3 Panati, Gianluca 3 Presutti, Errico 3 Prolhac, Sylvain 3 Weiss, Thomas 2 Doyon, Benjamin 2 Fürst, Martin L. R. 2 Giacomin, Giambattista 2 Großkinsky, Stefan 2 Hirokawa, Masao 2 Kopylova, Elena A. 2 Lanford, Oscar E. III 2 Mei, Peng 2 Speer, Eugene R. 2 Stoltz, Gabriel 2 Suzuki, Akito 2 Yoshimura, Takato 1 Aizenman, Michael 1 Aoki, Kenichiro 1 Aschbacher, Walter H. 1 Basile, Giada 1 Beffara, Vincent 1 Biskup, Marek 1 Bunimovich, Leonid Abramovich 1 Butz, Maximilian 1 Cercignani, Carlo 1 Chhita, Sunil 1 Corwin, Ivan Z. 1 Cubero, Axel Cortés 1 Damle, Kedar 1 Das, Avijit 1 De Masi, Anna 1 Devillard, Pierre 1 Dhar, Abhishek 1 Dybalski, Wojciech 1 Ernst, Matthieu H. 1 Fannes, Mark 1 Fröhlich, Jürg Martin 1 Funaki, Tadahisa 1 Gallavotti, Giovanni M. 1 Goldstein, Shelly 1 Greenberg, William 1 Gwa, Lehhun 1 Hainzl, Christian 1 Hövermann, Frank 1 Huse, David A. 1 Imamura, Takashi 1 Kiessling, Michael Karl-Heinz 1 Komorowski, Tomasz 1 Kotulla, Markus 1 Krug, Joachim 1 Kulkarni, Manas 1 Lenci, Marco 1 Lerowitz, J. L. 1 Osada, Hirofumi 1 Polewczak, Jacek 1 Quastel, Jeremy 1 Ryzhik, Lenya 1 Saada, Ellen 1 Sasaki, Itaru 1 Schlösser, Till 1 Schütz, Gunter M. 1 Sidoravicius, Vladas 1 Simonella, Sergio 1 Sinaĭ, Yakov Grigor’evich 1 Stückl, Richard 1 van Beijeren, Henk 1 Vares, Maria Eulalia 1 Verbeure, André F. 1 Wick, W. David 1 Wreszinski, Walter F. 1 Yau, Horng-Tzer 1 Zhizhina, Elena Anatol’evna 1 Zweifel, Paul F. 1 Zwerger, Wilhelm all top 5 Serials 36 Journal of Statistical Physics 16 Journal of Mathematical Physics 15 Communications in Mathematical Physics 9 Journal of Statistical Mechanics: Theory and Experiment 6 The Annals of Probability 5 Letters in Mathematical Physics 5 Markov Processes and Related Fields 5 Annales Henri Poincaré 4 Physical Review Letters 4 Oberwolfach Reports 4 Journal of Physics A: Mathematical and Theoretical 3 Archive for Rational Mechanics and Analysis 3 Communications on Pure and Applied Mathematics 3 Reports on Mathematical Physics 3 Reviews in Mathematical Physics 3 Journal of Functional Analysis 2 Nuclear Physics. B 2 The Annals of Applied Probability 2 Communications in Partial Differential Equations 2 Journal of Physics A: Mathematical and General 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Russian Journal of Mathematical Physics 2 Electronic Journal of Probability 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Physics Letters. A 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Monatshefte für Mathematik 1 Physica D 1 Probability Theory and Related Fields 1 Annals of Physics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Nonlinear Science 1 St. Petersburg Mathematical Journal 1 Discrete and Continuous Dynamical Systems 1 Advances in Theoretical and Mathematical Physics 1 Physical Review E. Third Series 1 Bulletin of the Brazilian Mathematical Society. New Series 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 RIMS Kôkyûroku Bessatsu 1 COE Lecture Note 1 Springer Proceedings in Mathematics & Statistics 1 Nonlinear Analysis. Theory, Methods & Applications 1 SpringerBriefs in Mathematical Physics 1 Texts and Monographs in Physics all top 5 Fields 125 Statistical mechanics, structure of matter (82-XX) 63 Probability theory and stochastic processes (60-XX) 49 Quantum theory (81-XX) 42 Partial differential equations (35-XX) 21 Fluid mechanics (76-XX) 19 Operator theory (47-XX) 14 Optics, electromagnetic theory (78-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 General and overarching topics; collections (00-XX) 7 Functional analysis (46-XX) 5 Mechanics of particles and systems (70-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 172 Publications have been cited 3,872 times in 2,522 Documents Cited by ▼ Year ▼ Large scale dynamics of interacting particles. Zbl 0742.76002Spohn, Herbert 374 1991 A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics. Zbl 0934.60090Lebowitz, Joel L.; Spohn, Herbert 196 1999 Scale invariance of the PNG droplet and the Airy process. Zbl 1025.82010Prähofer, Michael; Spohn, Herbert 191 2002 Dynamics of charged particles and their radiation field. Zbl 1078.81004Spohn, Herbert 167 2004 Polymers on disordered trees, spin glasses, and traveling waves. Zbl 1036.82522Derrida, B.; Spohn, H. 88 1988 Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian. Zbl 0969.82526Gwa, Leh-Hun; Spohn, Herbert 82 1992 Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process. Zbl 1118.82032Ferrari, Patrik L.; Spohn, Herbert 71 2006 Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model. Zbl 0884.58098Funaki, T.; Spohn, H. 70 1997 Exact height distributions for the KPZ equation with narrow wedge initial condition. Zbl 1204.35137Sasamoto, Tomohiro; Spohn, Herbert 65 2010 Derivation of the transport equation for electrons moving through random impurities. Zbl 0964.82508Spohn, Herbert 62 1977 Current fluctuations for the totally asymmetric simple exclusion process. Zbl 1015.60093Prähofer, Michael; Spohn, Herbert 60 2002 On the Vlasov hierarchy. Zbl 0492.35067Spohn, H. 60 1981 Effective dynamics for Bloch electrons: Peierls substitution and beyond. Zbl 1058.81020Panati, Gianluca; Spohn, Herbert; Teufel, Stefan 59 2003 The one-dimensional KPZ equation and its universality class. Zbl 1327.82069Quastel, Jeremy; Spohn, Herbert 58 2015 Condensation in the zero range process: stationary and dynamical properties. Zbl 1081.82010Großkinsky, Stefan; Schütz, Gunter M.; Spohn, Herbert 58 2003 Exact scaling functions for one-dimensional stationary KPZ growth. Zbl 1157.82363Prähofer, Michael; Spohn, Herbert 55 2004 Nonlinear fluctuating hydrodynamics for anharmonic chains. Zbl 1291.82119Spohn, Herbert 52 2014 Ground state(s) of the spin-boson Hamiltonian. Zbl 0667.60108Spohn, Herbert 50 1989 Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence. Zbl 0945.82568Eyink, G. L.; Spohn, H. 48 1993 Interface motion in models with stochastic dynamics. Zbl 0935.82546Spohn, Herbert 47 1993 The Lorentz process converges to a random flight process. Zbl 0381.60099Spohn, Herbert 44 1978 Radiative decay: Nonperturbative approaches. Zbl 0843.35068Hübner, Matthias; Spohn, Herbert 42 1995 The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics. Zbl 1106.82033Spohn, Herbert 42 2006 Equilibrium states for mean field models. Zbl 0445.46049Fannes, M.; Spohn, H.; Verbeure, A. 42 1980 Equilibrium fluctuations for \(\nabla\varphi\) interface model. Zbl 1017.60100Giacomin, Giambattista; Olla, Stefano; Spohn, Herbert 41 2001 Kinetic limit for wave propagation in a random medium. Zbl 1176.60053Lukkarinen, Jani; Spohn, Herbert 41 2007 Entropy production for quantum dynamical semigroups. Zbl 0428.47022Spohn, Herbert 39 1978 Step fluctuations for a faceted crystal. Zbl 1116.82331Ferrari, Patrik L.; Spohn, Herbert 37 2003 Weakly nonlinear Schrödinger equation with random initial data. Zbl 1235.76136Lukkarinen, Jani; Spohn, Herbert 36 2011 Spectral properties of the spin-boson Hamiltonian. Zbl 0827.47053Hübner, Matthias; Spohn, Herbert 36 1995 Kinetics of the Bose-Einstein condensation. Zbl 1186.82052Spohn, Herbert 35 2010 Ground state of a quantum particle coupled to a scalar Bose field. Zbl 0908.60094Spohn, Herbert 35 1998 Equilibrium fluctuations for interacting Brownian particles. Zbl 0605.60092Spohn, Herbert 33 1986 Asymptotic completeness for Rayleigh scattering. Zbl 0985.81131Spohn, Herbert 32 1997 Long-time asymptotics for a classical particle interacting with a scalar wave field. Zbl 0878.35094Komech, Alexander; Spohn, Herbert; Kunze, Markus 32 1997 Hydrodynamics of stationary non-equilibrium states for some stochastic lattice gas models. Zbl 0706.76082Eyink, Gregory; Lebowitz, Joel L.; Spohn, Herbert 31 1990 The crossover regime for the weakly asymmetric simple exclusion process. Zbl 1197.82093Sasamoto, Tomohiro; Spohn, Herbert 31 2010 Energy transport in stochastically perturbed lattice dynamics. Zbl 1187.82017Basile, Giada; Olla, Stefano; Spohn, Herbert 31 2010 Fluctuations of a stationary nonequilibrium interface. Zbl 0990.82520Derrida, B.; Lebowitz, J. L.; Speer, E. R.; Spohn, H. 30 1991 An algebraic condition for the approach to equilibrium of an open N-level system. Zbl 0366.47019Spohn, Herbert 29 1977 Random growth models. Zbl 1234.60010Ferrari, P. L.; Spohn, H. 28 2011 Long-time asymptotics for the coupled Maxwell-Lorentz equations. Zbl 0970.35149Komech, Alexander; Spohn, Herbert 28 2000 The derivation of kinetic equations from Hamiltonian dynamics (the example of the Lorentz gas). Zbl 0465.76069Spohn, Herbert 26 1980 The infrared behaviour in Nelson’s model of a quantum particle coupled to a massless scalar field. Zbl 1172.81330Lőrinczi, J.; Minlos, R. A.; Spohn, H. 25 2002 A note on the eigenvalue density of random matrices. Zbl 0928.15015Kiessling, Michael K.-H.; Spohn, Herbert 25 1999 Interacting Brownian particles: A study of Dyson’s model. Zbl 0674.60096Spohn, Herbert 25 1987 Lattice gas models in contact with stochastic reservoirs: Local equilibrium and relaxation to the steady state. Zbl 0734.60110Eyink, Gregory; Lebowitz, Joel L.; Spohn, Herbert 23 1991 Dynamics of an anchored Toom interface. Zbl 0759.60104Derrida, B.; Lebowitz, J. L.; Speer, E. R.; Spohn, H. 23 1991 The three-body problem in radioactive decay: The case of one atom and at most two photons. Zbl 0881.47049Minlos, R.; Spohn, H. 23 1996 Adiabatic decoupling and time-dependent Born-Oppenheimer theory. Zbl 1017.81014Spohn, Herbert; Teufel, Stefan 23 2001 Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin. Zbl 1014.81067Hiroshima, F.; Spohn, H. 22 2001 Ground state properties of the Nelson Hamiltonian: A Gibbs measure-based approach. Zbl 1029.81022Betz, Volker; Hiroshima, Fumio; Lörinczi, József; Minlos, Robert A.; Spohn, Herbert 22 2002 Domino tilings and the six-vertex model at its free-fermion point. Zbl 1114.82006Ferrari, Patrik L.; Spohn, Herbert 22 2006 Microscopic models of hydrodynamic behavior. Zbl 1086.60531Lebowitz, Joel L.; Presutti, Errico; Spohn, Herbert 22 1988 The propagator of the attractive delta-Bose gas in one dimension. Zbl 1273.81085Prolhac, Sylvain; Spohn, Herbert 21 2011 Lowest energy states in nonrelativistic QED: atoms and ions in motion. Zbl 1118.81080Loss, Michael; Miyao, Tadahiro; Spohn, Herbert 20 2007 Equilibrium time correlation functions in the low-density limit. Zbl 0508.60089van Beijeren, Henk; Lanford, O. E. III; Lebowitz, J. L.; Spohn, H. 20 1980 Ground state for point particles interacting through a massless scalar Bose field. Zbl 1093.81046Hirokawa, Masao; Hiroshima, Fumio; Spohn, Herbert 20 2005 KPZ scaling theory and the semidiscrete directed polymer model. Zbl 1329.82149Spohn, Herbert 18 2014 The time-dependent Born-Oppenheimer approximation. Zbl 1135.81338Panati, Gianluca; Spohn, Herbert; Teufel, Stefan 18 2007 Energy transport in weakly anharmonic chains. Zbl 1135.82326Aoki, Kenichiro; Lukkarinen, Jani; Spohn, Herbert 17 2006 Constrained Brownian motion: fluctuations away from circular and parabolic barriers. Zbl 1082.60071Ferrari, Patrik L.; Spohn, Herbert 17 2005 Not to normal order-notes on the kinetic limit for weakly interacting quantum fluids. Zbl 1169.82016Lukkarinen, Jani; Spohn, Herbert 16 2009 Effective dynamics for a mechanical particle coupled to a wave field. Zbl 0947.70010Komech, Alexander; Kunze, Markus; Spohn, Herbert 16 1999 Statistical self-similarity of one-dimensional growth processes. Zbl 0976.82042Prähofer, Michael; Spohn, Herbert 16 2000 Hydrodynamics and fluctuations outside of local equilibrium: driven diffusive systems. Zbl 1081.82595Eyink, Gregory L.; Lebowitz, Joel L.; Spohn, Herbert 16 1996 Microscopic basis for Fick’s law for self-diffusion. Zbl 0512.60075Lebowitz, J. L.; Spohn, H. 16 1982 Soliton-like asymptotics for a classical particle interacting with a scalar wave field. Zbl 0935.37046Komech, Alexander; Spohn, Herbert 15 1998 The bipolaron in the strong coupling limit. Zbl 1206.82121Miyao, Tadahiro; Spohn, Herbert 15 2007 On the convergence to statistical equilibrium for harmonic crystals. Zbl 1062.82029Dudnikova, T. V.; Komech, A. I.; Spohn, H. 15 2003 Asymptotic equivalence of fluctuation fields for reversible exclusion processes with speed change. Zbl 0609.60097de Masi, A.; Presutti, E.; Spohn, H.; Wick, W. D. 14 1986 Scaling limit for a class of gradient fields with nonconvex potentials. Zbl 1222.60076Biskup, Marek; Spohn, Herbert 14 2011 Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation. Zbl 1183.82019Sasamoto, Tomohiro; Spohn, Herbert 14 2009 On time correlations for KPZ growth in one dimension. Zbl 1344.60095Ferrari, Patrik L.; Spohn, Herbert 14 2016 Steady state self-diffusion at low density. Zbl 0511.60098Lebowitz, J. L.; Spohn, H. 14 1982 Large deviations for ideal quantum systems. Zbl 1034.82034Lebowitz, Joel L.; Lenci, Marco; Spohn, Herbert 14 2000 An exactly solved model of three-dimensional surface growth in the anisotropic KPZ regime. Zbl 0945.82543Prähofer, M.; Spohn, H. 13 1997 Hydrodynamics of the voter model. Zbl 0527.60094Presutti, Errico; Spohn, Herbert 13 1983 Rotating charge coupled to the Maxwell field: scattering theory and adiabatic limit. Zbl 1082.35145Imaikin, Valery; Komech, Alexander; Spohn, Herbert 13 2004 Binding energy for hydrogen-like atoms in the Nelson model without cutoffs. Zbl 1082.81088Hainzl, Christian; Hirokawa, Masao; Spohn, Herbert 13 2005 Coupled Kardar-Parisi-Zhang equations in one dimension. Zbl 1292.82039Ferrari, Patrik L.; Sasamoto, Tomohiro; Spohn, Herbert 12 2013 A geometric viewpoint on generalized hydrodynamics. Zbl 1380.82048Doyon, Benjamin; Spohn, Herbert; Yoshimura, Takato 12 2018 The Kardar-Parisi-Zhang equation: a statistical physics perspective. Zbl 1403.35295Spohn, Herbert 12 2017 Gibbs measures relative to Brownian motion. Zbl 0965.60095Osada, Hirofumi; Spohn, Herbert 12 1999 Semiclassical limit for the Schrödinger equation with a short scale periodic potential. Zbl 1052.81039Hövermann, Frank; Spohn, Herbert; Teufel, Stefan 12 2001 Nonlinear fluctuating hydrodynamics in one dimension: the case of two conserved fields. Zbl 1327.82070Spohn, Herbert; Stoltz, Gabriel 11 2015 Scaling limit for Brownian motions with one-sided collisions. Zbl 1315.60108Ferrari, Patrik L.; Spohn, Herbert; Weiss, Thomas 11 2015 Limit distributions for KPZ growth models with spatially homogeneous random initial conditions. Zbl 1397.82040Chhita, S.; Ferrari, P. L.; Spohn, H. 11 2018 Anomalous energy transport in the FPU-\(\beta\) chain. Zbl 1214.82057Lukkarinen, Jani; Spohn, Herbert 11 2008 Motion of electrons in adiabatically perturbed periodic structures. Zbl 1367.82012Panati, Gianluca; Spohn, Herbert; Teufel, Stefan 11 2006 A central limit theorem for Gibbs measures relative to Brownian motion. Zbl 1071.60072Betz, Volker; Spohn, Herbert 11 2005 Mass renormalization in nonrelativistic quantum electrodynamics. Zbl 1067.81137Hiroshima, Fumio; Spohn, Herbert 11 2005 Semiclassical limit of the Dirac equation and spin precession. Zbl 1112.81320Spohn, Herbert 11 2000 Scattering theory for a particle coupled to a scalar field. Zbl 1052.37057Imaikin, Valery; Komech, Alexander; Spohn, Herbert 11 2004 Spectral analysis of the semi-relativistic Pauli-Fierz Hamiltonian. Zbl 1165.35034Miyao, Tadahiro; Spohn, Herbert 10 2009 Tracer diffusion in lattice gases. Zbl 0718.60125Spohn, Herbert 10 1990 Scattering asymptotics for a charged particle coupled to the Maxwell field. Zbl 1316.78002Imaykin, Valery; Komech, Alexander; Spohn, Herbert 10 2011 Brownian motions with one-sided collisions: the stationary case. Zbl 1327.60188Ferrari, Patrik Lino; Spohn, Herbert; Weiss, Thomas 10 2015 Nonequilibrium phenomena I: The Boltzmann equation. Zbl 0583.76004 10 1983 Stationary measures and hydrodynamics of zero range processes with several species of particles. Zbl 1083.82019Großkinsky, Stefan; Spohn, Herbert 10 2003 Form factors and generalized hydrodynamics for integrable systems. Zbl 07430625Cubero, Axel Cortés; Yoshimura, Takato; Spohn, Herbert 2 2021 Generalized Gibbs ensembles of the classical Toda chain. Zbl 1461.76011Spohn, Herbert 8 2020 Effective mass of the polaron – revisited. Zbl 1442.81028Dybalski, Wojciech; Spohn, Herbert 4 2020 The \(1 + 1\) dimensional Kardar-Parisi-Zhang equation: more surprises. Zbl 1457.82292Spohn, Herbert 3 2020 High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat. Zbl 1442.82011Komorowski, Tomasz; Olla, Stefano; Ryzhik, Lenya; Spohn, Herbert 3 2020 Nonlinear fluctuating hydrodynamics for the classical XXZ spin chain. Zbl 1445.82006Das, Avijit; Damle, Kedar; Dhar, Abhishek; Huse, David A.; Kulkarni, Manas; Mendl, Christian B.; Spohn, Herbert 1 2020 Stochastic dynamics out of equilibrium. Lecture notes from the IHP trimester, Institut Henri Poincaré (IHP), Paris, France, April – July, 2017. Zbl 1422.82005 1 2019 A geometric viewpoint on generalized hydrodynamics. Zbl 1380.82048Doyon, Benjamin; Spohn, Herbert; Yoshimura, Takato 12 2018 Limit distributions for KPZ growth models with spatially homogeneous random initial conditions. Zbl 1397.82040Chhita, S.; Ferrari, P. L.; Spohn, H. 11 2018 Interacting and noninteracting integrable systems. Zbl 1397.81463Spohn, Herbert 8 2018 The Kardar-Parisi-Zhang equation: a statistical physics perspective. Zbl 1403.35295Spohn, Herbert 12 2017 Dynamics of hard rods with initial domain wall state. Zbl 1457.82247Doyon, Benjamin; Spohn, Herbert 7 2017 Reflected Brownian motions in the KPZ universality class. Zbl 1366.82004Weiss, Thomas; Ferrari, Patrik; Spohn, Herbert 4 2017 Shocks, rarefaction waves, and current fluctuations for anharmonic chains. Zbl 1369.82022Mendl, Christian B.; Spohn, Herbert 2 2017 On time correlations for KPZ growth in one dimension. Zbl 1344.60095Ferrari, Patrik L.; Spohn, Herbert 14 2016 The one-dimensional KPZ equation and its universality class. Zbl 1327.82069Quastel, Jeremy; Spohn, Herbert 58 2015 Nonlinear fluctuating hydrodynamics in one dimension: the case of two conserved fields. Zbl 1327.82070Spohn, Herbert; Stoltz, Gabriel 11 2015 Scaling limit for Brownian motions with one-sided collisions. Zbl 1315.60108Ferrari, Patrik L.; Spohn, Herbert; Weiss, Thomas 11 2015 Brownian motions with one-sided collisions: the stationary case. Zbl 1327.60188Ferrari, Patrik Lino; Spohn, Herbert; Weiss, Thomas 10 2015 Point-interacting Brownian motions in the KPZ universality class. Zbl 1328.60218Sasamoto, Tomohiro; Spohn, Herbert 7 2015 Global well-posedness of the spatially homogeneous Hubbard-Boltzmann equation. Zbl 1314.35078Lukkarinen, Jani; Mei, Peng; Spohn, Herbert 2 2015 Low temperature dynamics of the one-dimensional discrete nonlinear Schrödinger equation. Zbl 1456.82870Mendl, Christian B.; Spohn, Herbert 2 2015 On the Lagrangian theory for rotating charge in the Maxwell field. Zbl 1303.35109Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert 1 2015 Current fluctuations for anharmonic chains in thermal equilibrium. Zbl 1456.82869Mendl, Christian B.; Spohn, Herbert 1 2015 Book review of: Isabelle Gallagher, Laure Saint-Raymond and Benjamin Texier, From Newton to Boltzmann: hard spheres and short-range potentials. Zbl 1314.00062Simonella, Sergio; Spohn, Herbert 1 2015 Nonlinear fluctuating hydrodynamics for anharmonic chains. Zbl 1291.82119Spohn, Herbert 52 2014 KPZ scaling theory and the semidiscrete directed polymer model. Zbl 1329.82149Spohn, Herbert 18 2014 Coupled Kardar-Parisi-Zhang equations in one dimension. Zbl 1292.82039Ferrari, Patrik L.; Sasamoto, Tomohiro; Spohn, Herbert 12 2013 On the equal time two-point distribution of the one-dimensional KPZ equation by replica. Zbl 1276.82040Imamura, T.; Sasamoto, T.; Spohn, H. 7 2013 Derivation of a matrix-valued Boltzmann equation for the Hubbard model. Zbl 1288.82011Fürst, Martin L. R.; Lukkarinen, Jani; Mei, Peng; Spohn, Herbert 3 2013 Enhanced binding in quantum field theory. Zbl 1243.81013Hiroshima, Fumio; Sasaki, Itaru; Spohn, Herbert; Suzuki, Akito 4 2012 Scale dependence of the retarded van der Waals potential. Zbl 1278.81079Miyao, Tadahiro; Spohn, Herbert 2 2012 Weakly nonlinear Schrödinger equation with random initial data. Zbl 1235.76136Lukkarinen, Jani; Spohn, Herbert 36 2011 Random growth models. Zbl 1234.60010Ferrari, P. L.; Spohn, H. 28 2011 The propagator of the attractive delta-Bose gas in one dimension. Zbl 1273.81085Prolhac, Sylvain; Spohn, Herbert 21 2011 Scaling limit for a class of gradient fields with nonconvex potentials. Zbl 1222.60076Biskup, Marek; Spohn, Herbert 14 2011 Scattering asymptotics for a charged particle coupled to the Maxwell field. Zbl 1316.78002Imaykin, Valery; Komech, Alexander; Spohn, Herbert 10 2011 Scattering of solitons for Dirac equation coupled to a particle. Zbl 1229.35228Komech, A. I.; Kopylova, E. A.; Spohn, H. 8 2011 Weakly nonlinear wave equations with random initial data. Zbl 1230.82035Spohn, Herbert 3 2011 The no-binding regime of the Pauli-Fierz model. Zbl 1317.81103Hiroshima, Fumio; Spohn, Herbert; Suzuki, Akito 2 2011 Radiation reaction: a case study. Zbl 1228.78007Spohn, Herbert 1 2011 Exact height distributions for the KPZ equation with narrow wedge initial condition. Zbl 1204.35137Sasamoto, Tomohiro; Spohn, Herbert 65 2010 Kinetics of the Bose-Einstein condensation. Zbl 1186.82052Spohn, Herbert 35 2010 The crossover regime for the weakly asymmetric simple exclusion process. Zbl 1197.82093Sasamoto, Tomohiro; Spohn, Herbert 31 2010 Energy transport in stochastically perturbed lattice dynamics. Zbl 1187.82017Basile, Giada; Olla, Stefano; Spohn, Herbert 31 2010 The \(1 + 1\)-dimensional Kardar-Parisi-Zhang equation and its universality class. Zbl 1459.82195Sasamoto, Tomohiro; Spohn, Herbert 7 2010 Dynamical phase transition for a quantum particle source. Zbl 1211.82043Butz, Maximilian; Spohn, Herbert 3 2010 Not to normal order-notes on the kinetic limit for weakly interacting quantum fluids. Zbl 1169.82016Lukkarinen, Jani; Spohn, Herbert 16 2009 Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation. Zbl 1183.82019Sasamoto, Tomohiro; Spohn, Herbert 14 2009 Spectral analysis of the semi-relativistic Pauli-Fierz Hamiltonian. Zbl 1165.35034Miyao, Tadahiro; Spohn, Herbert 10 2009 Kramers degeneracy theorem in nonrelativistic QED. Zbl 1183.47078Loss, Michael; Miyao, Tadahiro; Spohn, Herbert 5 2009 The retarded van der Waals potential: revisited. Zbl 1298.81414Miyao, Tadahiro; Spohn, Herbert 3 2009 Energy current correlations for weakly anharmonic lattices. Zbl 1176.82028Spohn, Herbert 1 2009 Anomalous energy transport in the FPU-\(\beta\) chain. Zbl 1214.82057Lukkarinen, Jani; Spohn, Herbert 11 2008 On the Boltzmann equation for weakly nonlinear wave equations. Zbl 1156.82312Spohn, Herbert 3 2008 Kinetic limit for wave propagation in a random medium. Zbl 1176.60053Lukkarinen, Jani; Spohn, Herbert 41 2007 Lowest energy states in nonrelativistic QED: atoms and ions in motion. Zbl 1118.81080Loss, Michael; Miyao, Tadahiro; Spohn, Herbert 20 2007 The time-dependent Born-Oppenheimer approximation. Zbl 1135.81338Panati, Gianluca; Spohn, Herbert; Teufel, Stefan 18 2007 The bipolaron in the strong coupling limit. Zbl 1206.82121Miyao, Tadahiro; Spohn, Herbert 15 2007 Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process. Zbl 1118.82032Ferrari, Patrik L.; Spohn, Herbert 71 2006 The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics. Zbl 1106.82033Spohn, Herbert 42 2006 Domino tilings and the six-vertex model at its free-fermion point. Zbl 1114.82006Ferrari, Patrik L.; Spohn, Herbert 22 2006 Energy transport in weakly anharmonic chains. Zbl 1135.82326Aoki, Kenichiro; Lukkarinen, Jani; Spohn, Herbert 17 2006 Motion of electrons in adiabatically perturbed periodic structures. Zbl 1367.82012Panati, Gianluca; Spohn, Herbert; Teufel, Stefan 11 2006 Local stationarity for lattice dynamics in the harmonic approximation. Zbl 1133.82315Dudnikova, T. V.; Spohn, H. 8 2006 Collisional invariants for the phonon Boltzmann equation. Zbl 1104.82042Spohn, Herbert 7 2006 Polymer pinning in a random medium as influence percolation. Zbl 1127.82047Beffara, V.; Sidoravicius, V.; Spohn, H.; Vares, M. E. 6 2006 A remark on the strict positivity of the entropy production. Zbl 1108.81026Aschbacher, Walter H.; Spohn, Herbert 5 2006 Towards a microscopic derivation of the phonon Boltzmann equation. Zbl 1170.82433Spohn, Herbert 1 2006 Ground state for point particles interacting through a massless scalar Bose field. Zbl 1093.81046Hirokawa, Masao; Hiroshima, Fumio; Spohn, Herbert 20 2005 Constrained Brownian motion: fluctuations away from circular and parabolic barriers. Zbl 1082.60071Ferrari, Patrik L.; Spohn, Herbert 17 2005 Binding energy for hydrogen-like atoms in the Nelson model without cutoffs. Zbl 1082.81088Hainzl, Christian; Hirokawa, Masao; Spohn, Herbert 13 2005 A central limit theorem for Gibbs measures relative to Brownian motion. Zbl 1071.60072Betz, Volker; Spohn, Herbert 11 2005 Mass renormalization in nonrelativistic quantum electrodynamics. Zbl 1067.81137Hiroshima, Fumio; Spohn, Herbert 11 2005 Stochastic growth in one dimension and Gaussian multi-matrix models. Zbl 1207.60062Spohn, Herbert; Ferrari, Patrik L.; Prähofer, Michael 3 2005 Gibbs measures on Brownian paths: theory and applications. Zbl 1095.82002Betz, Volker; Lörinczi, József; Spohn, Herbert 1 2005 Dynamics of charged particles and their radiation field. Zbl 1078.81004Spohn, Herbert 167 2004 Exact scaling functions for one-dimensional stationary KPZ growth. Zbl 1157.82363Prähofer, Michael; Spohn, Herbert 55 2004 Rotating charge coupled to the Maxwell field: scattering theory and adiabatic limit. Zbl 1082.35145Imaikin, Valery; Komech, Alexander; Spohn, Herbert 13 2004 Scattering theory for a particle coupled to a scalar field. Zbl 1052.37057Imaikin, Valery; Komech, Alexander; Spohn, Herbert 11 2004 Effective dynamics for Bloch electrons: Peierls substitution and beyond. Zbl 1058.81020Panati, Gianluca; Spohn, Herbert; Teufel, Stefan 59 2003 Condensation in the zero range process: stationary and dynamical properties. Zbl 1081.82010Großkinsky, Stefan; Schütz, Gunter M.; Spohn, Herbert 58 2003 Step fluctuations for a faceted crystal. Zbl 1116.82331Ferrari, Patrik L.; Spohn, Herbert 37 2003 On the convergence to statistical equilibrium for harmonic crystals. Zbl 1062.82029Dudnikova, T. V.; Komech, A. I.; Spohn, H. 15 2003 Stationary measures and hydrodynamics of zero range processes with several species of particles. Zbl 1083.82019Großkinsky, Stefan; Spohn, Herbert 10 2003 Last branching in directed last passage percolation. Zbl 1042.82026Ferrari, P. L.; Spohn, H. 3 2003 Scale invariance of the PNG droplet and the Airy process. Zbl 1025.82010Prähofer, Michael; Spohn, Herbert 191 2002 Current fluctuations for the totally asymmetric simple exclusion process. Zbl 1015.60093Prähofer, Michael; Spohn, Herbert 60 2002 The infrared behaviour in Nelson’s model of a quantum particle coupled to a massless scalar field. Zbl 1172.81330Lőrinczi, J.; Minlos, R. A.; Spohn, H. 25 2002 Ground state properties of the Nelson Hamiltonian: A Gibbs measure-based approach. Zbl 1029.81022Betz, Volker; Hiroshima, Fumio; Lörinczi, József; Minlos, Robert A.; Spohn, Herbert 22 2002 Soliton-type asymptotic and scattering for a charge coupled to the Maxwell field. Zbl 1104.78301Imaikin, V.; Komech, A.; Spohn, H. 8 2002 Infrared regular representation of the three-dimensional massless Nelson model. Zbl 0996.82003Lörinczi, József; Minlos, Robert A.; Spohn, Herbert 7 2002 On a two-temperature problem for wave equation. Zbl 1074.82001Dudnikova, T. V.; Komech, A. I.; Spohn, H. 6 2002 Semiclassical motion of dressed electrons. Zbl 1037.81098Teufel, Stefan; Spohn, Herbert 4 2002 Energy-momentum relation for solitary waves of relativistic wave equations. Zbl 1104.81308Dudnikova, T. V.; Komech, A. I.; Spohn, H. 3 2002 Equilibrium fluctuations for \(\nabla\varphi\) interface model. Zbl 1017.60100Giacomin, Giambattista; Olla, Stefano; Spohn, Herbert 41 2001 Adiabatic decoupling and time-dependent Born-Oppenheimer theory. Zbl 1017.81014Spohn, Herbert; Teufel, Stefan 23 2001 Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin. Zbl 1014.81067Hiroshima, F.; Spohn, H. 22 2001 Semiclassical limit for the Schrödinger equation with a short scale periodic potential. Zbl 1052.81039Hövermann, Frank; Spohn, Herbert; Teufel, Stefan 12 2001 Post-Coulombian dynamics at order \(c^{-3}\). Zbl 1001.78007Kunze, M.; Spohn, H. 5 2001 ...and 72 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,262 Authors 69 Spohn, Herbert 41 Lebowitz, Joel Louis 39 Ferrari, Patrik Lino 38 Borodin, Alexei 34 Corwin, Ivan Z. 30 Fröhlich, Jürg Martin 30 Hiroshima, Fumio 28 Quastel, Jeremy 27 Landim, Claudio 27 Olla, Stefano 26 Komech, Alexander Ilich 26 Sasamoto, Tomohiro 25 Derrida, Bernard 22 Schütz, Gunter M. 21 Schlein, Benjamin 20 Gonçalves, Patrícia C. 20 Jara, Milton D. 19 Bernardin, Cédric 19 Bertini, Lorenzo Bertini 19 Komorowski, Tomasz 18 Kiessling, Michael Karl-Heinz 18 Pulvirenti, Mario 17 Faupin, Jérémy 17 Petrov, Leonid 17 Sigal, Israel Michael 17 Toninelli, Fabio Lucio 16 Chen, Thomas M. 16 Dudnikova, Tat’yana V. 16 Pillet, Claude-Alain 16 Ryzhik, Lenya 16 Yau, Horng-Tzer 15 Bal, Guillaume 15 Bodineau, Thierry 15 Ferrari, Pablo Augusto 15 Gabrielli, Davide 15 Jakšić, Vojkan 15 Kondrat’yev, Yuriĭ Grygorovych 14 Gaspard, Pierre 14 Großkinsky, Stefan 14 Maes, Christian 14 Remenik, Daniel 14 Tracy, Craig Arnold 13 De Roeck, Wojciech 13 Funaki, Tadahisa 13 Johansson, Kurt 13 Le Doussal, Pierre 13 Lukkarinen, Jani 13 Miyao, Tadahiro 13 Seppäläinen, Timo 13 Teufel, Stefan 13 Widom, Harold 12 Dybalski, Wojciech 12 Griesemer, Marcel 12 Imamura, Takashi 12 Kupiainen, Antti 12 Nota, Alessia 12 Porta, Marcello 12 Rasulov, Tulkin Khusenovich 12 Velázquez, Juan J. L. 11 Erdős, László 11 Faggionato, Alessandra 11 Møller, Jacob Schach 11 Pizzo, Alessandro 11 Presutti, Errico 11 Seiringer, Robert 11 Sethuraman, Sunder 11 Tran, Minh-Binh 10 Amour, Laurent 10 Arai, Asao 10 Bach, Volker 10 Golse, François 10 Gorin, Vadim 10 Hasler, David G. 10 Ioffe, Dmitry 10 Kopylova, Elena A. 10 Lu, Jianfeng 10 Osada, Hirofumi 10 Panati, Gianluca 10 Pinaud, Olivier 10 Redig, Frank 9 Adler, Mark 9 Chetrite, Raphaël 9 Deckert, Dirk-André 9 Deuschel, Jean-Dominique 9 Dhar, Abhishek 9 Esposito, Raffaele 9 Giacomin, Giambattista 9 Hammond, Alan 9 Hirokawa, Masao 9 Jabin, Pierre-Emmanuel 9 Lörinczi, József 9 Majumdar, Satya N. 9 Mallick, Kirone 9 Schehr, Grégory 8 Baik, Jinho 8 Benedikter, Niels 8 Bru, Jean-Bernard 8 Buttà, Paolo 8 Carrillo de la Plata, José Antonio 8 De Masi, Anna ...and 2,162 more Authors all top 5 Cited in 279 Serials 485 Journal of Statistical Physics 253 Communications in Mathematical Physics 152 Journal of Mathematical Physics 109 Journal of Statistical Mechanics: Theory and Experiment 80 The Annals of Probability 70 Probability Theory and Related Fields 65 Stochastic Processes and their Applications 57 Reviews in Mathematical Physics 51 Annales Henri Poincaré 46 Archive for Rational Mechanics and Analysis 46 Journal of Functional Analysis 38 Annales de l’Institut Henri Poincaré. 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A 10 Transactions of the American Mathematical Society 10 SIAM Journal on Mathematical Analysis 10 Russian Journal of Mathematical Physics 10 Discrete and Continuous Dynamical Systems 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Nuclear Physics. B 9 Electronic Communications in Probability 9 Multiscale Modeling & Simulation 8 Nonlinearity 8 Reports on Mathematical Physics 8 Duke Mathematical Journal 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Annales de l’Institut Henri Poincaré. Physique Théorique 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Probability Surveys 7 Transport Theory and Statistical Physics 7 Wave Motion 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Foundations of Physics 7 Proceedings of the Steklov Institute of Mathematics 6 Journal of the American Mathematical Society 6 Bulletin of the American Mathematical Society. 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Série VI 4 SIAM Journal on Scientific Computing 4 Journal of Mathematical Chemistry 4 Doklady Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 Annals of Mathematics. Second Series 4 Journal of the European Mathematical Society (JEMS) 4 Stochastics and Dynamics 4 Random Matrices: Theory and Applications 4 Forum of Mathematics, Sigma 4 Annales Henri Lebesgue 3 Computers & Mathematics with Applications 3 General Relativity and Gravitation 3 Journal of Fluid Mechanics 3 Mathematical Notes 3 Reviews of Modern Physics 3 Russian Mathematical Surveys 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Mathematics of Computation 3 Journal of Geometry and Physics 3 Memoirs of the American Mathematical Society 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University ...and 179 more Serials all top 5 Cited in 55 Fields 1,574 Statistical mechanics, structure of matter (82-XX) 1,019 Probability theory and stochastic processes (60-XX) 641 Partial differential equations (35-XX) 586 Quantum theory (81-XX) 175 Fluid mechanics (76-XX) 160 Operator theory (47-XX) 130 Dynamical systems and ergodic theory (37-XX) 102 Linear and multilinear algebra; matrix theory (15-XX) 83 Optics, electromagnetic theory (78-XX) 68 Functional analysis (46-XX) 68 Numerical analysis (65-XX) 67 Combinatorics (05-XX) 44 Biology and other natural sciences (92-XX) 43 Ordinary differential equations (34-XX) 43 Classical thermodynamics, heat transfer (80-XX) 38 Mechanics of particles and systems (70-XX) 28 Statistics (62-XX) 27 Relativity and gravitational theory (83-XX) 27 Information and communication theory, circuits (94-XX) 26 Integral equations (45-XX) 25 Special functions (33-XX) 24 Mechanics of deformable solids (74-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 20 Global analysis, analysis on manifolds (58-XX) 17 Measure and integration (28-XX) 17 Differential geometry (53-XX) 13 Operations research, mathematical programming (90-XX) 12 Real functions (26-XX) 11 Functions of a complex variable (30-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 General and overarching topics; collections (00-XX) 9 History and biography (01-XX) 9 Associative rings and algebras (16-XX) 9 Computer science (68-XX) 7 Number theory (11-XX) 7 Topological groups, Lie groups (22-XX) 6 Nonassociative rings and algebras (17-XX) 6 Group theory and generalizations (20-XX) 6 Potential theory (31-XX) 6 Convex and discrete geometry (52-XX) 5 Integral transforms, operational calculus (44-XX) 5 Manifolds and cell complexes (57-XX) 4 Difference and functional equations (39-XX) 4 Abstract harmonic analysis (43-XX) 4 Astronomy and astrophysics (85-XX) 4 Systems theory; control (93-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 2 \(K\)-theory (19-XX) 2 Algebraic topology (55-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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