Edit Profile (opens in new tab) Spohn, Herbert Co-Author Distance 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: 220 Publications since 1975, including 4 Books and 26 Additional arXiv Preprints 9 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 115 Co-Authors with 172 Joint Publications 2,779 Co-Co-Authors all top 5 Co-Authors 58 single-authored 16 Ferrari, Patrik Lino 16 Komech, Alexander Ilich 14 Lebowitz, Joel Louis 10 Mendl, Christian B. 9 Olla, Stefano 9 Sasamoto, Tomohiro 8 Lukkarinen, Jani 7 Hiroshima, Fumio 7 Imaikin, Valery 7 Kunze, Markus 7 Miyao, Tadahiro 7 Prahofer, Michael 7 Teufel, Stefan 5 Eyink, Gregory L. 5 Fürst, Martin L. R. 5 Kulkarni, Manas 4 Dhar, Abhishek 4 Doyon, Benjamin 4 Dudnikova, Tat’yana V. 4 Hübner, Matthias 4 Landim, Claudio 4 Lörinczi, József 4 Minlos, Robert Adol’fovich 4 Panati, Gianluca 4 Prolhac, Sylvain 3 Betz, Volker 3 Derrida, Bernard 3 Loss, Michael 3 Presutti, Errico 3 Ray, Dipankar 3 Weiss, Thomas 2 Giacomin, Giambattista 2 Großkinsky, Stefan 2 Hirokawa, Masao 2 Huse, David A. 2 Komorowski, Tomasz 2 Kopylova, Elena A. 2 Lanford, Oscar E. III 2 Mei, Peng 2 Praehofer, Michael 2 Ryzhik, Lenya 2 Speer, Eugene R. 2 Stoltz, Gabriel 2 Suzuki, Akito 2 Yoshimura, Takato 1 Abanov, Alexander G. 1 Aizenman, Michael 1 Alekseev, Anton Yur’evich 1 Aoki, Kenichiro 1 Aschbacher, Walter H. 1 Barkema, Gerard T. 1 Basile, Giada 1 Beffara, Vincent 1 Biskup, Marek 1 Bulchandani, Vir B. 1 Bunimovich, Leonid Abramovich 1 Butz, Maximilian 1 Caflisch, Russel E. 1 Cao, Xiangyu 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 Deift, Percy A. 1 Devillard, Pierre 1 Dubail, Jérôme 1 Dybalski, Wojciech 1 Ernst, Matthieu H. 1 Fannes, Mark 1 Ferrari, Pablo Augusto 1 Franceschini, Chiara 1 Fröhlich, Jürg Martin 1 Funaki, Tadahisa 1 Gallavotti, Giovanni M. 1 Goldstein, Shelly 1 Grava, Tamara 1 Greenberg, William 1 Grevino, Dante G. E. 1 Gwa, Lehhun 1 Hainzl, Christian 1 Hövermann, Frank 1 Imamura, Takashi 1 Kamenev, Alex 1 Khanin, Konstantin M. 1 Kiessling, Michael Karl-Heinz 1 Kotulla, Markus 1 Kriecherbauer, Thomas 1 Krug, Joachim 1 Lenci, Marco 1 Lerowitz, J. L. 1 Li, Luen-Chau 1 Mazzuca, Guido 1 McLaughlin, Kenneth D. T.-R. 1 Osada, Hirofumi 1 Polewczak, Jacek 1 Quastel, Jeremy 1 Saada, Ellen ...and 21 more Co-Authors all top 5 Serials 37 Journal of Statistical Physics 18 Journal of Mathematical Physics 15 Communications in Mathematical Physics 9 Journal of Statistical Mechanics: Theory and Experiment 8 Journal of Physics A: Mathematical and Theoretical 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 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 Studies in Statistical Mechanics 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 Pure and Applied Functional Analysis 1 Texts and Monographs in Physics all top 5 Fields 133 Statistical mechanics, structure of matter (82-XX) 64 Probability theory and stochastic processes (60-XX) 55 Quantum theory (81-XX) 44 Partial differential equations (35-XX) 21 Fluid mechanics (76-XX) 19 Operator theory (47-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Optics, electromagnetic theory (78-XX) 9 General and overarching topics; collections (00-XX) 8 Mechanics of particles and systems (70-XX) 7 Functional analysis (46-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 180 Publications have been cited 4,810 times in 3,044 Documents Cited by ▼ Year ▼ Large scale dynamics of interacting particles. Zbl 0742.76002 Spohn, Herbert 457 1991 A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics. Zbl 0934.60090 Lebowitz, Joel L.; Spohn, Herbert 240 1999 Scale invariance of the PNG droplet and the Airy process. Zbl 1025.82010 Prähofer, Michael; Spohn, Herbert 235 2002 Dynamics of charged particles and their radiation field. Zbl 1078.81004 Spohn, Herbert 192 2004 Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian. Zbl 0969.82526 Gwa, Leh-Hun; Spohn, Herbert 105 1992 Polymers on disordered trees, spin glasses, and traveling waves. Zbl 1036.82522 Derrida, B.; Spohn, H. 104 1988 Motion by mean curvature from the Ginzburg-Landau \(\nabla\phi\) interface model. Zbl 0884.58098 Funaki, T.; Spohn, H. 94 1997 The one-dimensional KPZ equation and its universality class. Zbl 1327.82069 Quastel, Jeremy; Spohn, Herbert 92 2015 Exact height distributions for the KPZ equation with narrow wedge initial condition. Zbl 1204.35137 Sasamoto, Tomohiro; Spohn, Herbert 89 2010 Nonlinear fluctuating hydrodynamics for anharmonic chains. Zbl 1291.82119 Spohn, Herbert 84 2014 Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process. Zbl 1118.82032 Ferrari, Patrik L.; Spohn, Herbert 81 2006 Current fluctuations for the totally asymmetric simple exclusion process. Zbl 1015.60093 Prähofer, Michael; Spohn, Herbert 75 2002 On the Vlasov hierarchy. Zbl 0492.35067 Spohn, H. 75 1981 Effective dynamics for Bloch electrons: Peierls substitution and beyond. Zbl 1058.81020 Panati, Gianluca; Spohn, Herbert; Teufel, Stefan 72 2003 Derivation of the transport equation for electrons moving through random impurities. Zbl 0964.82508 Spohn, Herbert 66 1977 Exact scaling functions for one-dimensional stationary KPZ growth. Zbl 1157.82363 Prähofer, Michael; Spohn, Herbert 65 2004 Condensation in the zero range process: stationary and dynamical properties. Zbl 1081.82010 Großkinsky, Stefan; Schütz, Gunter M.; Spohn, Herbert 65 2003 Ground state(s) of the spin-boson Hamiltonian. Zbl 0667.60108 Spohn, Herbert 55 1989 Weakly nonlinear Schrödinger equation with random initial data. Zbl 1235.76136 Lukkarinen, Jani; Spohn, Herbert 55 2011 Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence. Zbl 0945.82568 Eyink, G. L.; Spohn, H. 53 1993 Interface motion in models with stochastic dynamics. Zbl 0935.82546 Spohn, Herbert 53 1993 Equilibrium fluctuations for \(\nabla\varphi\) interface model. Zbl 1017.60100 Giacomin, Giambattista; Olla, Stefano; Spohn, Herbert 53 2001 The Lorentz process converges to a random flight process. Zbl 0381.60099 Spohn, Herbert 51 1978 Radiative decay: Nonperturbative approaches. Zbl 0843.35068 Hübner, Matthias; Spohn, Herbert 51 1995 The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics. Zbl 1106.82033 Spohn, Herbert 51 2006 Entropy production for quantum dynamical semigroups. Zbl 0428.47022 Spohn, Herbert 50 1978 Equilibrium states for mean field models. Zbl 0445.46049 Fannes, M.; Spohn, H.; Verbeure, A. 48 1980 Kinetic limit for wave propagation in a random medium. Zbl 1176.60053 Lukkarinen, Jani; Spohn, Herbert 44 2007 Kinetics of the Bose-Einstein condensation. Zbl 1186.82052 Spohn, Herbert 43 2010 Step fluctuations for a faceted crystal. Zbl 1116.82331 Ferrari, Patrik L.; Spohn, Herbert 43 2003 Equilibrium fluctuations for interacting Brownian particles. Zbl 0605.60092 Spohn, Herbert 40 1986 Spectral properties of the spin-boson Hamiltonian. Zbl 0827.47053 Hübner, Matthias; Spohn, Herbert 40 1995 An algebraic condition for the approach to equilibrium of an open N-level system. Zbl 0366.47019 Spohn, Herbert 38 1977 Interacting Brownian particles: A study of Dyson’s model. Zbl 0674.60096 Spohn, Herbert 38 1987 Long-time asymptotics for a classical particle interacting with a scalar wave field. Zbl 0878.35094 Komech, Alexander; Spohn, Herbert; Kunze, Markus 38 1997 Ground state of a quantum particle coupled to a scalar Bose field. Zbl 0908.60094 Spohn, Herbert 38 1998 Energy transport in stochastically perturbed lattice dynamics. Zbl 1187.82017 Basile, Giada; Olla, Stefano; Spohn, Herbert 38 2010 The crossover regime for the weakly asymmetric simple exclusion process. Zbl 1197.82093 Sasamoto, Tomohiro; Spohn, Herbert 37 2010 Hydrodynamics of stationary non-equilibrium states for some stochastic lattice gas models. Zbl 0706.76082 Eyink, Gregory; Lebowitz, Joel L.; Spohn, Herbert 35 1990 Random growth models. Zbl 1234.60010 Ferrari, P. L.; Spohn, H. 35 2011 A note on the eigenvalue density of random matrices. Zbl 0928.15015 Kiessling, Michael K.-H.; Spohn, Herbert 34 1999 Asymptotic completeness for Rayleigh scattering. Zbl 0985.81131 Spohn, Herbert 34 1997 Long-time asymptotics for the coupled Maxwell-Lorentz equations. Zbl 0970.35149 Komech, Alexander; Spohn, Herbert 31 2000 Fluctuations of a stationary nonequilibrium interface. Zbl 0990.82520 Derrida, B.; Lebowitz, J. L.; Speer, E. R.; Spohn, H. 31 1991 Domino tilings and the six-vertex model at its free-fermion point. Zbl 1114.82006 Ferrari, Patrik L.; Spohn, Herbert 31 2006 The propagator of the attractive delta-Bose gas in one dimension. Zbl 1273.81085 Prolhac, Sylvain; Spohn, Herbert 30 2011 The infrared behaviour in Nelson’s model of a quantum particle coupled to a massless scalar field. Zbl 1172.81330 Lőrinczi, J.; Minlos, R. A.; Spohn, H. 29 2002 Equilibrium time correlation functions in the low-density limit. Zbl 0508.60089 van Beijeren, Henk; Lanford, O. E. III; Lebowitz, J. L.; Spohn, H. 28 1980 Dynamics of an anchored Toom interface. Zbl 0759.60104 Derrida, B.; Lebowitz, J. L.; Speer, E. R.; Spohn, H. 27 1991 Adiabatic decoupling and time-dependent Born-Oppenheimer theory. Zbl 1017.81014 Spohn, Herbert; Teufel, Stefan 26 2001 Ground state properties of the Nelson Hamiltonian: A Gibbs measure-based approach. Zbl 1029.81022 Betz, Volker; Hiroshima, Fumio; Lörinczi, József; Minlos, Robert A.; Spohn, Herbert 26 2002 Generalized Gibbs ensembles of the classical Toda chain. Zbl 1461.76011 Spohn, Herbert 25 2020 Lattice gas models in contact with stochastic reservoirs: Local equilibrium and relaxation to the steady state. Zbl 0734.60110 Eyink, Gregory; Lebowitz, Joel L.; Spohn, Herbert 24 1991 The three-body problem in radioactive decay: The case of one atom and at most two photons. Zbl 0881.47049 Minlos, R.; Spohn, H. 24 1996 Lowest energy states in nonrelativistic QED: atoms and ions in motion. Zbl 1118.81080 Loss, Michael; Miyao, Tadahiro; Spohn, Herbert 24 2007 The \(1 + 1\)-dimensional Kardar-Parisi-Zhang equation and its universality class. Zbl 1459.82195 Sasamoto, Tomohiro; Spohn, Herbert 24 2010 The derivation of kinetic equations from Hamiltonian dynamics (the example of the Lorentz gas). Zbl 0465.76069 Spohn, Herbert 23 1980 Microscopic models of hydrodynamic behavior. Zbl 1086.60531 Lebowitz, Joel L.; Presutti, Errico; Spohn, Herbert 23 1988 Not to normal order-notes on the kinetic limit for weakly interacting quantum fluids. Zbl 1169.82016 Lukkarinen, Jani; Spohn, Herbert 23 2009 Effective dynamics for a mechanical particle coupled to a wave field. Zbl 0947.70010 Komech, Alexander; Kunze, Markus; Spohn, Herbert 22 1999 Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin. Zbl 1014.81067 Hiroshima, F.; Spohn, H. 22 2001 Constrained Brownian motion: fluctuations away from circular and parabolic barriers. Zbl 1082.60071 Ferrari, Patrik L.; Spohn, Herbert 22 2005 KPZ scaling theory and the semidiscrete directed polymer model. Zbl 1329.82149 Spohn, Herbert 22 2014 Scaling limit for a class of gradient fields with nonconvex potentials. Zbl 1222.60076 Biskup, Marek; Spohn, Herbert 22 2011 Ground state for point particles interacting through a massless scalar Bose field. Zbl 1093.81046 Hirokawa, Masao; Hiroshima, Fumio; Spohn, Herbert 21 2005 Dynamics of hard rods with initial domain wall state. Zbl 1457.82247 Doyon, Benjamin; Spohn, Herbert 21 2017 A geometric viewpoint on generalized hydrodynamics. Zbl 1380.82048 Doyon, Benjamin; Spohn, Herbert; Yoshimura, Takato 20 2018 Microscopic basis for Fick’s law for self-diffusion. Zbl 0512.60075 Lebowitz, J. L.; Spohn, H. 20 1982 The time-dependent Born-Oppenheimer approximation. Zbl 1135.81338 Panati, Gianluca; Spohn, Herbert; Teufel, Stefan 20 2007 On time correlations for KPZ growth in one dimension. Zbl 1344.60095 Ferrari, Patrik L.; Spohn, Herbert 19 2016 Statistical self-similarity of one-dimensional growth processes. Zbl 0976.82042 Prähofer, Michael; Spohn, Herbert 19 2000 Coupled Kardar-Parisi-Zhang equations in one dimension. Zbl 1292.82039 Ferrari, Patrik L.; Sasamoto, Tomohiro; Spohn, Herbert 19 2013 The Kardar-Parisi-Zhang equation: a statistical physics perspective. Zbl 1403.35295 Spohn, Herbert 18 2017 Nonlinear fluctuating hydrodynamics in one dimension: the case of two conserved fields. Zbl 1327.82070 Spohn, Herbert; Stoltz, Gabriel 18 2015 Hydrodynamics and fluctuations outside of local equilibrium: driven diffusive systems. Zbl 1081.82595 Eyink, Gregory L.; Lebowitz, Joel L.; Spohn, Herbert 18 1996 Energy transport in weakly anharmonic chains. Zbl 1135.82326 Aoki, Kenichiro; Lukkarinen, Jani; Spohn, Herbert 18 2006 Hydrodynamics of the voter model. Zbl 0527.60094 Presutti, Errico; Spohn, Herbert 18 1983 Soliton-like asymptotics for a classical particle interacting with a scalar wave field. Zbl 0935.37046 Komech, Alexander; Spohn, Herbert 17 1998 Semiclassical limit of the Dirac equation and spin precession. Zbl 1112.81320 Spohn, Herbert 17 2000 Large deviations for ideal quantum systems. Zbl 1034.82034 Lebowitz, Joel L.; Lenci, Marco; Spohn, Herbert 16 2000 Asymptotic equivalence of fluctuation fields for reversible exclusion processes with speed change. Zbl 0609.60097 de Masi, A.; Presutti, E.; Spohn, H.; Wick, W. D. 16 1986 Rotating charge coupled to the Maxwell field: scattering theory and adiabatic limit. Zbl 1082.35145 Imaikin, Valery; Komech, Alexander; Spohn, Herbert 16 2004 On the convergence to statistical equilibrium for harmonic crystals. Zbl 1062.82029 Dudnikova, T. V.; Komech, A. I.; Spohn, H. 16 2003 Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation. Zbl 1183.82019 Sasamoto, Tomohiro; Spohn, Herbert 16 2009 The bipolaron in the strong coupling limit. Zbl 1206.82121 Miyao, Tadahiro; Spohn, Herbert 16 2007 An exactly solved model of three-dimensional surface growth in the anisotropic KPZ regime. Zbl 0945.82543 Prähofer, M.; Spohn, H. 15 1997 Limit distributions for KPZ growth models with spatially homogeneous random initial conditions. Zbl 1397.82040 Chhita, S.; Ferrari, P. L.; Spohn, H. 15 2018 Motion of electrons in adiabatically perturbed periodic structures. Zbl 1367.82012 Panati, Gianluca; Spohn, Herbert; Teufel, Stefan 15 2006 Mass renormalization in nonrelativistic quantum electrodynamics. Zbl 1067.81137 Hiroshima, Fumio; Spohn, Herbert 15 2005 Anomalous energy transport in the FPU-\(\beta\) chain. Zbl 1214.82057 Lukkarinen, Jani; Spohn, Herbert 15 2008 Interacting and noninteracting integrable systems. Zbl 1397.81463 Spohn, Herbert 14 2018 Scaling limit for Brownian motions with one-sided collisions. Zbl 1315.60108 Ferrari, Patrik L.; Spohn, Herbert; Weiss, Thomas 14 2015 Binding energy for hydrogen-like atoms in the Nelson model without cutoffs. Zbl 1082.81088 Hainzl, Christian; Hirokawa, Masao; Spohn, Herbert 14 2005 A central limit theorem for Gibbs measures relative to Brownian motion. Zbl 1071.60072 Betz, Volker; Spohn, Herbert 14 2005 Steady state self-diffusion at low density. Zbl 0511.60098 Lebowitz, J. L.; Spohn, H. 14 1982 Reflected Brownian motions in the KPZ universality class. Zbl 1366.82004 Weiss, Thomas; Ferrari, Patrik; Spohn, Herbert 13 2017 Gibbs measures relative to Brownian motion. Zbl 0965.60095 Osada, Hirofumi; Spohn, Herbert 13 1999 Semiclassical limit for the Schrödinger equation with a short scale periodic potential. Zbl 1052.81039 Hövermann, Frank; Spohn, Herbert; Teufel, Stefan 13 2001 Tracer diffusion in lattice gases. Zbl 0718.60125 Spohn, Herbert 13 1990 Scattering asymptotics for a charged particle coupled to the Maxwell field. Zbl 1316.78002 Imaykin, Valery; Komech, Alexander; Spohn, Herbert 13 2011 Hydrodynamic equations for the Ablowitz-Ladik discretization of the nonlinear Schrödinger equation. Zbl 1507.35228 Spohn, Herbert 4 2022 On the open Toda chain with external forcing. Zbl 1507.37075 Deift, Percy; Li, Luen-Chau; Spohn, Herbert; Tomei, Carlos; Trogdon, Thomas 1 2022 Form factors and generalized hydrodynamics for integrable systems. Zbl 07430625 Cubero, Axel Cortés; Yoshimura, Takato; Spohn, Herbert 7 2021 Generalized Gibbs ensembles of the classical Toda chain. Zbl 1461.76011 Spohn, Herbert 25 2020 Effective mass of the polaron – revisited. Zbl 1442.81028 Dybalski, Wojciech; Spohn, Herbert 11 2020 High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat. Zbl 1442.82011 Komorowski, Tomasz; Olla, Stefano; Ryzhik, Lenya; Spohn, Herbert 7 2020 Ballistic space-time correlators of the classical Toda lattice. Zbl 1519.37063 Spohn, Herbert 4 2020 Nonlinear fluctuating hydrodynamics for the classical XXZ spin chain. Zbl 1445.82006 Das, Avijit; Damle, Kedar; Dhar, Abhishek; Huse, David A.; Kulkarni, Manas; Mendl, Christian B.; Spohn, Herbert 4 2020 The \(1 + 1\) dimensional Kardar-Parisi-Zhang equation: more surprises. Zbl 1457.82292 Spohn, Herbert 4 2020 The GGE averaged currents of the classical Toda chain. Zbl 1509.37071 Cao, Xiangyu; Bulchandani, Vir B.; Spohn, Herbert 10 2019 Stochastic dynamics out of equilibrium. Lecture notes from the IHP trimester, Institut Henri Poincaré (IHP), Paris, France, April – July, 2017. Zbl 1422.82005 4 2019 A geometric viewpoint on generalized hydrodynamics. Zbl 1380.82048 Doyon, Benjamin; Spohn, Herbert; Yoshimura, Takato 20 2018 Limit distributions for KPZ growth models with spatially homogeneous random initial conditions. Zbl 1397.82040 Chhita, S.; Ferrari, P. L.; Spohn, H. 15 2018 Interacting and noninteracting integrable systems. Zbl 1397.81463 Spohn, Herbert 14 2018 Dynamics of hard rods with initial domain wall state. Zbl 1457.82247 Doyon, Benjamin; Spohn, Herbert 21 2017 The Kardar-Parisi-Zhang equation: a statistical physics perspective. Zbl 1403.35295 Spohn, Herbert 18 2017 Reflected Brownian motions in the KPZ universality class. Zbl 1366.82004 Weiss, Thomas; Ferrari, Patrik; Spohn, Herbert 13 2017 Shocks, rarefaction waves, and current fluctuations for anharmonic chains. Zbl 1369.82022 Mendl, Christian B.; Spohn, Herbert 3 2017 On invariants for the Poincaré equations and applications. Zbl 1359.78009 Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert 2 2017 On time correlations for KPZ growth in one dimension. Zbl 1344.60095 Ferrari, Patrik L.; Spohn, Herbert 19 2016 The one-dimensional KPZ equation and its universality class. Zbl 1327.82069 Quastel, Jeremy; Spohn, Herbert 92 2015 Nonlinear fluctuating hydrodynamics in one dimension: the case of two conserved fields. Zbl 1327.82070 Spohn, Herbert; Stoltz, Gabriel 18 2015 Scaling limit for Brownian motions with one-sided collisions. Zbl 1315.60108 Ferrari, Patrik L.; Spohn, Herbert; Weiss, Thomas 14 2015 Brownian motions with one-sided collisions: the stationary case. Zbl 1327.60188 Ferrari, Patrik Lino; Spohn, Herbert; Weiss, Thomas 12 2015 Point-interacting Brownian motions in the KPZ universality class. Zbl 1328.60218 Sasamoto, Tomohiro; Spohn, Herbert 8 2015 Current fluctuations for anharmonic chains in thermal equilibrium. Zbl 1456.82869 Mendl, Christian B.; Spohn, Herbert 8 2015 Low temperature dynamics of the one-dimensional discrete nonlinear Schrödinger equation. Zbl 1456.82870 Mendl, Christian B.; Spohn, Herbert 5 2015 On the Lagrangian theory for rotating charge in the Maxwell field. Zbl 1303.35109 Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert 4 2015 Global well-posedness of the spatially homogeneous Hubbard-Boltzmann equation. Zbl 1314.35078 Lukkarinen, Jani; Mei, Peng; Spohn, Herbert 2 2015 Book review of: Isabelle Gallagher, Laure Saint-Raymond and Benjamin Texier, From Newton to Boltzmann: hard spheres and short-range potentials. Zbl 1314.00062 Simonella, Sergio; Spohn, Herbert 2 2015 Nonlinear fluctuating hydrodynamics for anharmonic chains. Zbl 1291.82119 Spohn, Herbert 84 2014 KPZ scaling theory and the semidiscrete directed polymer model. Zbl 1329.82149 Spohn, Herbert 22 2014 Coupled Kardar-Parisi-Zhang equations in one dimension. Zbl 1292.82039 Ferrari, Patrik L.; Sasamoto, Tomohiro; Spohn, Herbert 19 2013 On the equal time two-point distribution of the one-dimensional KPZ equation by replica. Zbl 1276.82040 Imamura, T.; Sasamoto, T.; Spohn, H. 8 2013 Derivation of a matrix-valued Boltzmann equation for the Hubbard model. Zbl 1288.82011 Fürst, Martin L. R.; Lukkarinen, Jani; Mei, Peng; Spohn, Herbert 4 2013 Enhanced binding in quantum field theory. Zbl 1243.81013 Hiroshima, Fumio; Sasaki, Itaru; Spohn, Herbert; Suzuki, Akito 5 2012 Scale dependence of the retarded van der Waals potential. Zbl 1278.81079 Miyao, Tadahiro; Spohn, Herbert 2 2012 Weakly nonlinear Schrödinger equation with random initial data. Zbl 1235.76136 Lukkarinen, Jani; Spohn, Herbert 55 2011 Random growth models. Zbl 1234.60010 Ferrari, P. L.; Spohn, H. 35 2011 The propagator of the attractive delta-Bose gas in one dimension. Zbl 1273.81085 Prolhac, Sylvain; Spohn, Herbert 30 2011 Scaling limit for a class of gradient fields with nonconvex potentials. Zbl 1222.60076 Biskup, Marek; Spohn, Herbert 22 2011 Scattering asymptotics for a charged particle coupled to the Maxwell field. Zbl 1316.78002 Imaykin, Valery; Komech, Alexander; Spohn, Herbert 13 2011 Scattering of solitons for Dirac equation coupled to a particle. Zbl 1229.35228 Komech, A. I.; Kopylova, E. A.; Spohn, H. 8 2011 Weakly nonlinear wave equations with random initial data. Zbl 1230.82035 Spohn, Herbert 4 2011 The no-binding regime of the Pauli-Fierz model. Zbl 1317.81103 Hiroshima, Fumio; Spohn, Herbert; Suzuki, Akito 2 2011 The one-dimensional KPZ equation and the Airy process. Zbl 1456.82711 Prolhac, Sylvain; Spohn, Herbert 2 2011 Radiation reaction: a case study. Zbl 1228.78007 Spohn, Herbert 1 2011 Two-point generating function of the free energy for a directed polymer in a random medium. Zbl 1459.82127 Prolhac, Sylvain; Spohn, Herbert 1 2011 Exact height distributions for the KPZ equation with narrow wedge initial condition. Zbl 1204.35137 Sasamoto, Tomohiro; Spohn, Herbert 89 2010 Kinetics of the Bose-Einstein condensation. Zbl 1186.82052 Spohn, Herbert 43 2010 Energy transport in stochastically perturbed lattice dynamics. Zbl 1187.82017 Basile, Giada; Olla, Stefano; Spohn, Herbert 38 2010 The crossover regime for the weakly asymmetric simple exclusion process. Zbl 1197.82093 Sasamoto, Tomohiro; Spohn, Herbert 37 2010 The \(1 + 1\)-dimensional Kardar-Parisi-Zhang equation and its universality class. Zbl 1459.82195 Sasamoto, Tomohiro; Spohn, Herbert 24 2010 Dynamical phase transition for a quantum particle source. Zbl 1211.82043 Butz, Maximilian; Spohn, Herbert 3 2010 Time reversal symmetries and properties of ground states in nonrelativistic QED. Zbl 1228.81157 Loss, Michael; Miyao, Tadahiro; Spohn, Herbert 1 2010 Not to normal order-notes on the kinetic limit for weakly interacting quantum fluids. Zbl 1169.82016 Lukkarinen, Jani; Spohn, Herbert 23 2009 Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation. Zbl 1183.82019 Sasamoto, Tomohiro; Spohn, Herbert 16 2009 Spectral analysis of the semi-relativistic Pauli-Fierz Hamiltonian. Zbl 1165.35034 Miyao, Tadahiro; Spohn, Herbert 10 2009 Kramers degeneracy theorem in nonrelativistic QED. Zbl 1183.47078 Loss, Michael; Miyao, Tadahiro; Spohn, Herbert 7 2009 The retarded van der Waals potential: revisited. Zbl 1298.81414 Miyao, Tadahiro; Spohn, Herbert 3 2009 Energy current correlations for weakly anharmonic lattices. Zbl 1176.82028 Spohn, Herbert 1 2009 Anomalous energy transport in the FPU-\(\beta\) chain. Zbl 1214.82057 Lukkarinen, Jani; Spohn, Herbert 15 2008 On the Boltzmann equation for weakly nonlinear wave equations. Zbl 1156.82312 Spohn, Herbert 5 2008 Kinetic limit for wave propagation in a random medium. Zbl 1176.60053 Lukkarinen, Jani; Spohn, Herbert 44 2007 Lowest energy states in nonrelativistic QED: atoms and ions in motion. Zbl 1118.81080 Loss, Michael; Miyao, Tadahiro; Spohn, Herbert 24 2007 The time-dependent Born-Oppenheimer approximation. Zbl 1135.81338 Panati, Gianluca; Spohn, Herbert; Teufel, Stefan 20 2007 The bipolaron in the strong coupling limit. Zbl 1206.82121 Miyao, Tadahiro; Spohn, Herbert 16 2007 Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process. Zbl 1118.82032 Ferrari, Patrik L.; Spohn, Herbert 81 2006 The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics. Zbl 1106.82033 Spohn, Herbert 51 2006 Domino tilings and the six-vertex model at its free-fermion point. Zbl 1114.82006 Ferrari, Patrik L.; Spohn, Herbert 31 2006 Energy transport in weakly anharmonic chains. Zbl 1135.82326 Aoki, Kenichiro; Lukkarinen, Jani; Spohn, Herbert 18 2006 Motion of electrons in adiabatically perturbed periodic structures. Zbl 1367.82012 Panati, Gianluca; Spohn, Herbert; Teufel, Stefan 15 2006 Local stationarity for lattice dynamics in the harmonic approximation. Zbl 1133.82315 Dudnikova, T. V.; Spohn, H. 9 2006 Collisional invariants for the phonon Boltzmann equation. Zbl 1104.82042 Spohn, Herbert 8 2006 Polymer pinning in a random medium as influence percolation. Zbl 1127.82047 Beffara, V.; Sidoravicius, V.; Spohn, H.; Vares, M. E. 6 2006 A remark on the strict positivity of the entropy production. Zbl 1108.81026 Aschbacher, Walter H.; Spohn, Herbert 5 2006 Towards a microscopic derivation of the phonon Boltzmann equation. Zbl 1170.82433 Spohn, Herbert 1 2006 Constrained Brownian motion: fluctuations away from circular and parabolic barriers. Zbl 1082.60071 Ferrari, Patrik L.; Spohn, Herbert 22 2005 Ground state for point particles interacting through a massless scalar Bose field. Zbl 1093.81046 Hirokawa, Masao; Hiroshima, Fumio; Spohn, Herbert 21 2005 Mass renormalization in nonrelativistic quantum electrodynamics. Zbl 1067.81137 Hiroshima, Fumio; Spohn, Herbert 15 2005 Binding energy for hydrogen-like atoms in the Nelson model without cutoffs. Zbl 1082.81088 Hainzl, Christian; Hirokawa, Masao; Spohn, Herbert 14 2005 A central limit theorem for Gibbs measures relative to Brownian motion. Zbl 1071.60072 Betz, Volker; Spohn, Herbert 14 2005 Stochastic growth in one dimension and Gaussian multi-matrix models. Zbl 1207.60062 Spohn, Herbert; Ferrari, Patrik L.; Prähofer, Michael 4 2005 Gibbs measures on Brownian paths: theory and applications. Zbl 1095.82002 Betz, Volker; Lörinczi, József; Spohn, Herbert 2 2005 Dynamics of charged particles and their radiation field. Zbl 1078.81004 Spohn, Herbert 192 2004 Exact scaling functions for one-dimensional stationary KPZ growth. Zbl 1157.82363 Prähofer, Michael; Spohn, Herbert 65 2004 Rotating charge coupled to the Maxwell field: scattering theory and adiabatic limit. Zbl 1082.35145 Imaikin, Valery; Komech, Alexander; Spohn, Herbert 16 2004 Scattering theory for a particle coupled to a scalar field. Zbl 1052.37057 Imaikin, Valery; Komech, Alexander; Spohn, Herbert 12 2004 Effective dynamics for Bloch electrons: Peierls substitution and beyond. Zbl 1058.81020 Panati, Gianluca; Spohn, Herbert; Teufel, Stefan 72 2003 Condensation in the zero range process: stationary and dynamical properties. Zbl 1081.82010 Großkinsky, Stefan; Schütz, Gunter M.; Spohn, Herbert 65 2003 Step fluctuations for a faceted crystal. Zbl 1116.82331 Ferrari, Patrik L.; Spohn, Herbert 43 2003 On the convergence to statistical equilibrium for harmonic crystals. Zbl 1062.82029 Dudnikova, T. V.; Komech, A. I.; Spohn, H. 16 2003 Stationary measures and hydrodynamics of zero range processes with several species of particles. Zbl 1083.82019 Großkinsky, Stefan; Spohn, Herbert 11 2003 Last branching in directed last passage percolation. Zbl 1042.82026 Ferrari, P. L.; Spohn, H. 3 2003 Scale invariance of the PNG droplet and the Airy process. Zbl 1025.82010 Prähofer, Michael; Spohn, Herbert 235 2002 Current fluctuations for the totally asymmetric simple exclusion process. Zbl 1015.60093 Prähofer, Michael; Spohn, Herbert 75 2002 The infrared behaviour in Nelson’s model of a quantum particle coupled to a massless scalar field. Zbl 1172.81330 Lőrinczi, J.; Minlos, R. A.; Spohn, H. 29 2002 Ground state properties of the Nelson Hamiltonian: A Gibbs measure-based approach. Zbl 1029.81022 Betz, Volker; Hiroshima, Fumio; Lörinczi, József; Minlos, Robert A.; Spohn, Herbert 26 2002 Soliton-type asymptotic and scattering for a charge coupled to the Maxwell field. Zbl 1104.78301 Imaikin, V.; Komech, A.; Spohn, H. 9 2002 On a two-temperature problem for wave equation. Zbl 1074.82001 Dudnikova, T. V.; Komech, A. I.; Spohn, H. 7 2002 ...and 80 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,736 Authors 74 Spohn, Herbert 45 Lebowitz, Joel Louis 42 Borodin, Alexei 42 Ferrari, Patrik Lino 41 Corwin, Ivan Z. 30 Fröhlich, Jürg Martin 30 Hiroshima, Fumio 30 Landim, Claudio 30 Olla, Stefano 30 Sasamoto, Tomohiro 29 Komech, Alexander Ilich 29 Quastel, Jeremy 29 Schütz, Gunter M. 28 Derrida, Bernard 26 Gonçalves, Patrícia C. 25 Komorowski, Tomasz 23 Bernardin, Cédric 23 Schlein, Benjamin 21 Jara, Milton D. 21 Toninelli, Fabio Lucio 20 Bertini, Lorenzo Bertini 20 Bodineau, Thierry 20 Dudnikova, Tat’yana V. 20 Petrov, Leonid 19 Faupin, Jérémy 19 Sigal, Israel Michael 18 Jakšić, Vojkan 18 Kiessling, Michael Karl-Heinz 18 Pillet, Claude-Alain 18 Pulvirenti, Mario 17 Chen, Thomas 17 Gabrielli, Davide 16 Doyon, Benjamin 16 Funaki, Tadahisa 16 Gaspard, Pierre 16 Kondrat’yev, Yuriĭ Grygorovych 16 Le Doussal, Pierre 16 Maes, Christian 16 Ryzhik, Lenya 16 Yau, Horng-Tzer 15 Bal, Guillaume 15 Ferrari, Pablo Augusto 15 Großkinsky, Stefan 15 Imamura, Takashi 15 Nota, Alessia 15 Remenik, Daniel 15 Seppäläinen, Timo 14 Dybalski, Wojciech 14 Hasler, David G. 14 Johansson, Kurt 14 Lukkarinen, Jani 14 Porta, Marcello 14 Rasulov, Tulkin Khusenovich 14 Seiringer, Robert 14 Sethuraman, Sunder 14 Tracy, Craig Arnold 13 Amour, Laurent 13 De Roeck, Wojciech 13 Faggionato, Alessandra 13 Gorin, Vadim 13 Hammond, Alan 13 Kopylova, Elena A. 13 Miyao, Tadahiro 13 Osada, Hirofumi 13 Saffirio, Chiara 13 Simonella, Sergio 13 Teufel, Stefan 13 Velázquez, Juan J. L. 13 Widom, Harold 12 Gallagher, Isabelle 12 Griesemer, Marcel 12 Gu, Yu 12 Kupiainen, Antti 12 Presutti, Errico 12 Tran, Minh-Binh 12 Tsai, Li-cheng 11 Dhar, Abhishek 11 Golse, François 11 Külske, Christof 11 Majumdar, Satya N. 11 Mallick, Kirone 11 Møller, Jacob Schach 11 Panati, Gianluca 11 Pizzo, Alessandro 11 Pronko, Andrei G. 11 Saint-Raymond, Laure 11 Schehr, Grégory 10 Adler, Mark 10 Arai, Asao 10 Bach, Volker 10 Benedikter, Niels 10 Carrillo de la Plata, José Antonio 10 Dymov, Andrey V. 10 Erdős, László 10 Falconi, Marco 10 Forrester, Peter J. 10 Ioffe, Dmitry 10 Lu, Jianfeng 10 Pinaud, Olivier 10 Redig, Frank ...and 2,636 more Authors all top 5 Cited in 304 Serials 512 Journal of Statistical Physics 275 Communications in Mathematical Physics 173 Journal of Mathematical Physics 135 Journal of Physics A: Mathematical and Theoretical 120 Journal of Statistical Mechanics: Theory and Experiment 92 The Annals of Probability 80 Probability Theory and Related Fields 72 Stochastic Processes and their Applications 66 Annales Henri Poincaré 61 Reviews in Mathematical Physics 54 Journal of Functional Analysis 52 Archive for Rational Mechanics and Analysis 46 Annales de l’Institut Henri Poincaré. 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A 12 Duke Mathematical Journal 12 Chaos 12 Multiscale Modeling & Simulation 11 International Journal of Modern Physics B 11 Nuclear Physics. B 11 Russian Journal of Mathematical Physics 11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11 Probability Surveys 10 Discrete and Continuous Dynamical Systems 10 Journal of High Energy Physics 10 ALEA. Latin American Journal of Probability and Mathematical Statistics 9 Oberwolfach Reports 9 The European Physical Journal B. Condensed Matter and Complex Systems 9 Probability and Mathematical Physics 8 Journal of the American Mathematical Society 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 Forum of Mathematics, Sigma 7 Transport Theory and Statistical Physics 7 Wave Motion 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Potential Analysis 7 Foundations of Physics 7 Proceedings of the Steklov Institute of Mathematics 6 Chaos, Solitons and Fractals 6 Bulletin of the American Mathematical Society. New Series 6 Journal of Nonlinear Science 6 Doklady Mathematics 6 Journal of the European Mathematical Society (JEMS) 6 Physical Review Letters 6 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 6 Random Matrices: Theory and Applications 6 Forum of Mathematics, Pi 5 International Journal of Theoretical Physics 5 Journal of Fluid Mechanics 5 Mathematical Methods in the Applied Sciences 5 Journal of Geometry and Physics 5 Journal of Computational and Applied Mathematics 5 Memoirs of the American Mathematical Society 5 Journal of Theoretical Probability 5 SIAM Journal on Applied Mathematics 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 SIAM Journal on Scientific Computing 5 Calculus of Variations and Partial Differential Equations 5 Physics of Fluids 5 Stochastics and Dynamics 5 Advances in Mathematical Physics 5 Annales Henri Lebesgue 4 Annales de l’Institut Fourier 4 Journal of Applied Probability 4 Mathematische Zeitschrift 4 Acta Applicandae Mathematicae 4 Selecta Mathematica. New Series 4 Journal of Mathematical Chemistry 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 Open Systems & Information Dynamics 4 Annals of Mathematics. Second Series 4 Quantum Information Processing 4 Acta Numerica 4 Communications in Theoretical Physics ...and 204 more Serials all top 5 Cited in 55 Fields 1,892 Statistical mechanics, structure of matter (82-XX) 1,256 Probability theory and stochastic processes (60-XX) 805 Partial differential equations (35-XX) 707 Quantum theory (81-XX) 219 Fluid mechanics (76-XX) 183 Dynamical systems and ergodic theory (37-XX) 174 Operator theory (47-XX) 129 Linear and multilinear algebra; matrix theory (15-XX) 96 Optics, electromagnetic theory (78-XX) 83 Combinatorics (05-XX) 82 Numerical analysis (65-XX) 80 Functional analysis (46-XX) 55 Ordinary differential equations (34-XX) 52 Classical thermodynamics, heat transfer (80-XX) 50 Biology and other natural sciences (92-XX) 47 Mechanics of particles and systems (70-XX) 35 Special functions (33-XX) 30 Statistics (62-XX) 29 Relativity and gravitational theory (83-XX) 28 Information and communication theory, circuits (94-XX) 26 Integral equations (45-XX) 26 Mechanics of deformable solids (74-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 24 Differential geometry (53-XX) 22 Global analysis, analysis on manifolds (58-XX) 19 General and overarching topics; collections (00-XX) 18 Measure and integration (28-XX) 15 Functions of a complex variable (30-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Associative rings and algebras (16-XX) 14 Real functions (26-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Computer science (68-XX) 13 Operations research, mathematical programming (90-XX) 11 History and biography (01-XX) 11 Difference and functional equations (39-XX) 10 Nonassociative rings and algebras (17-XX) 9 Number theory (11-XX) 9 Topological groups, Lie groups (22-XX) 7 Group theory and generalizations (20-XX) 7 Potential theory (31-XX) 7 Approximations and expansions (41-XX) 7 Integral transforms, operational calculus (44-XX) 7 Convex and discrete geometry (52-XX) 7 Systems theory; control (93-XX) 6 Algebraic geometry (14-XX) 6 Manifolds and cell complexes (57-XX) 5 Astronomy and astrophysics (85-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Abstract harmonic analysis (43-XX) 2 \(K\)-theory (19-XX) 2 Algebraic topology (55-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-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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