## Spohn, Herbert

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 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: 189 Publications since 1975, including 4 Books 7 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 95 Co-Authors with 148 Joint Publications 2,125 Co-Co-Authors
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### Co-Authors

 49 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 Deift, Percy A. 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 Li, Luen-Chau 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 Tomei, Carlos 1 Trogdon, Thomas 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
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### 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 Pure and Applied Functional Analysis 1 Texts and Monographs in Physics
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### Fields

 126 Statistical mechanics, structure of matter (82-XX) 63 Probability theory and stochastic processes (60-XX) 50 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) 10 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)

### Citations contained in zbMATH Open

172 Publications have been cited 3,959 times in 2,568 Documents Cited by Year
Large scale dynamics of interacting particles. Zbl 0742.76002
Spohn, Herbert
1991
A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics. Zbl 0934.60090
Lebowitz, Joel L.; Spohn, Herbert
1999
Scale invariance of the PNG droplet and the Airy process. Zbl 1025.82010
Prähofer, Michael; Spohn, Herbert
2002
Dynamics of charged particles and their radiation field. Zbl 1078.81004
Spohn, Herbert
2004
Polymers on disordered trees, spin glasses, and traveling waves. Zbl 1036.82522
Derrida, B.; Spohn, H.
1988
Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian. Zbl 0969.82526
Gwa, Leh-Hun; Spohn, Herbert
1992
Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process. Zbl 1118.82032
Ferrari, Patrik L.; Spohn, Herbert
2006
Motion by mean curvature from the Ginzburg-Landau $$\nabla\phi$$ interface model. Zbl 0884.58098
Funaki, T.; Spohn, H.
1997
Exact height distributions for the KPZ equation with narrow wedge initial condition. Zbl 1204.35137
Sasamoto, Tomohiro; Spohn, Herbert
2010
The one-dimensional KPZ equation and its universality class. Zbl 1327.82069
Quastel, Jeremy; Spohn, Herbert
2015
Derivation of the transport equation for electrons moving through random impurities. Zbl 0964.82508
Spohn, Herbert
1977
On the Vlasov hierarchy. Zbl 0492.35067
Spohn, H.
1981
Effective dynamics for Bloch electrons: Peierls substitution and beyond. Zbl 1058.81020
Panati, Gianluca; Spohn, Herbert; Teufel, Stefan
2003
Current fluctuations for the totally asymmetric simple exclusion process. Zbl 1015.60093
Prähofer, Michael; Spohn, Herbert
2002
Condensation in the zero range process: stationary and dynamical properties. Zbl 1081.82010
Großkinsky, Stefan; Schütz, Gunter M.; Spohn, Herbert
2003
Exact scaling functions for one-dimensional stationary KPZ growth. Zbl 1157.82363
Prähofer, Michael; Spohn, Herbert
2004
Nonlinear fluctuating hydrodynamics for anharmonic chains. Zbl 1291.82119
Spohn, Herbert
2014
Ground state(s) of the spin-boson Hamiltonian. Zbl 0667.60108
Spohn, Herbert
1989
Interface motion in models with stochastic dynamics. Zbl 0935.82546
Spohn, Herbert
1993
Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence. Zbl 0945.82568
Eyink, G. L.; Spohn, H.
1993
The Lorentz process converges to a random flight process. Zbl 0381.60099
Spohn, Herbert
1978
Radiative decay: Nonperturbative approaches. Zbl 0843.35068
Hübner, Matthias; Spohn, Herbert
1995
The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics. Zbl 1106.82033
Spohn, Herbert
2006
Equilibrium fluctuations for $$\nabla\varphi$$ interface model. Zbl 1017.60100
Giacomin, Giambattista; Olla, Stefano; Spohn, Herbert
2001
Equilibrium states for mean field models. Zbl 0445.46049
Fannes, M.; Spohn, H.; Verbeure, A.
1980
Kinetic limit for wave propagation in a random medium. Zbl 1176.60053
Lukkarinen, Jani; Spohn, Herbert
2007
Entropy production for quantum dynamical semigroups. Zbl 0428.47022
Spohn, Herbert
1978
Step fluctuations for a faceted crystal. Zbl 1116.82331
Ferrari, Patrik L.; Spohn, Herbert
2003
Spectral properties of the spin-boson Hamiltonian. Zbl 0827.47053
Hübner, Matthias; Spohn, Herbert
1995
Weakly nonlinear Schrödinger equation with random initial data. Zbl 1235.76136
Lukkarinen, Jani; Spohn, Herbert
2011
Kinetics of the Bose-Einstein condensation. Zbl 1186.82052
Spohn, Herbert
2010
Ground state of a quantum particle coupled to a scalar Bose field. Zbl 0908.60094
Spohn, Herbert
1998
Asymptotic completeness for Rayleigh scattering. Zbl 0985.81131
Spohn, Herbert
1997
The crossover regime for the weakly asymmetric simple exclusion process. Zbl 1197.82093
Sasamoto, Tomohiro; Spohn, Herbert
2010
Equilibrium fluctuations for interacting Brownian particles. Zbl 0605.60092
Spohn, Herbert
1986
Long-time asymptotics for a classical particle interacting with a scalar wave field. Zbl 0878.35094
Komech, Alexander; Spohn, Herbert; Kunze, Markus
1997
Energy transport in stochastically perturbed lattice dynamics. Zbl 1187.82017
Basile, Giada; Olla, Stefano; Spohn, Herbert
2010
Hydrodynamics of stationary non-equilibrium states for some stochastic lattice gas models. Zbl 0706.76082
Eyink, Gregory; Lebowitz, Joel L.; Spohn, Herbert
1990
Fluctuations of a stationary nonequilibrium interface. Zbl 0990.82520
Derrida, B.; Lebowitz, J. L.; Speer, E. R.; Spohn, H.
1991
Random growth models. Zbl 1234.60010
Ferrari, P. L.; Spohn, H.
2011
An algebraic condition for the approach to equilibrium of an open N-level system. Zbl 0366.47019
Spohn, Herbert
1977
Long-time asymptotics for the coupled Maxwell-Lorentz equations. Zbl 0970.35149
Komech, Alexander; Spohn, Herbert
2000
A note on the eigenvalue density of random matrices. Zbl 0928.15015
Kiessling, Michael K.-H.; Spohn, Herbert
1999
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.
2002
Dynamics of an anchored Toom interface. Zbl 0759.60104
Derrida, B.; Lebowitz, J. L.; Speer, E. R.; Spohn, H.
1991
Interacting Brownian particles: A study of Dyson’s model. Zbl 0674.60096
Spohn, Herbert
1987
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
1991
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
2002
Adiabatic decoupling and time-dependent Born-Oppenheimer theory. Zbl 1017.81014
Spohn, Herbert; Teufel, Stefan
2001
The three-body problem in radioactive decay: The case of one atom and at most two photons. Zbl 0881.47049
Minlos, R.; Spohn, H.
1996
The derivation of kinetic equations from Hamiltonian dynamics (the example of the Lorentz gas). Zbl 0465.76069
Spohn, Herbert
1980
Domino tilings and the six-vertex model at its free-fermion point. Zbl 1114.82006
Ferrari, Patrik L.; Spohn, Herbert
2006
Microscopic models of hydrodynamic behavior. Zbl 1086.60531
Lebowitz, Joel L.; Presutti, Errico; Spohn, Herbert
1988
The propagator of the attractive delta-Bose gas in one dimension. Zbl 1273.81085
Prolhac, Sylvain; Spohn, Herbert
2011
Lowest energy states in nonrelativistic QED: atoms and ions in motion. Zbl 1118.81080
Loss, Michael; Miyao, Tadahiro; Spohn, Herbert
2007
Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin. Zbl 1014.81067
Hiroshima, F.; Spohn, H.
2001
Ground state for point particles interacting through a massless scalar Bose field. Zbl 1093.81046
Hirokawa, Masao; Hiroshima, Fumio; Spohn, Herbert
2005
Equilibrium time correlation functions in the low-density limit. Zbl 0508.60089
van Beijeren, Henk; Lanford, O. E. III; Lebowitz, J. L.; Spohn, H.
1980
KPZ scaling theory and the semidiscrete directed polymer model. Zbl 1329.82149
Spohn, Herbert
2014
The time-dependent Born-Oppenheimer approximation. Zbl 1135.81338
Panati, Gianluca; Spohn, Herbert; Teufel, Stefan
2007
Constrained Brownian motion: fluctuations away from circular and parabolic barriers. Zbl 1082.60071
Ferrari, Patrik L.; Spohn, Herbert
2005
Not to normal order-notes on the kinetic limit for weakly interacting quantum fluids. Zbl 1169.82016
Lukkarinen, Jani; Spohn, Herbert
2009
Energy transport in weakly anharmonic chains. Zbl 1135.82326
Aoki, Kenichiro; Lukkarinen, Jani; Spohn, Herbert
2006
Statistical self-similarity of one-dimensional growth processes. Zbl 0976.82042
Prähofer, Michael; Spohn, Herbert
2000
Hydrodynamics and fluctuations outside of local equilibrium: driven diffusive systems. Zbl 1081.82595
Eyink, Gregory L.; Lebowitz, Joel L.; Spohn, Herbert
1996
Effective dynamics for a mechanical particle coupled to a wave field. Zbl 0947.70010
Komech, Alexander; Kunze, Markus; Spohn, Herbert
1999
Microscopic basis for Fick’s law for self-diffusion. Zbl 0512.60075
Lebowitz, J. L.; Spohn, H.
1982
On the convergence to statistical equilibrium for harmonic crystals. Zbl 1062.82029
Dudnikova, T. V.; Komech, A. I.; Spohn, H.
2003
Soliton-like asymptotics for a classical particle interacting with a scalar wave field. Zbl 0935.37046
Komech, Alexander; Spohn, Herbert
1998
Scaling limit for a class of gradient fields with nonconvex potentials. Zbl 1222.60076
Biskup, Marek; Spohn, Herbert
2011
The bipolaron in the strong coupling limit. Zbl 1206.82121
2007
On time correlations for KPZ growth in one dimension. Zbl 1344.60095
Ferrari, Patrik L.; Spohn, Herbert
2016
Large deviations for ideal quantum systems. Zbl 1034.82034
Lebowitz, Joel L.; Lenci, Marco; Spohn, Herbert
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.
1986
Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation. Zbl 1183.82019
Sasamoto, Tomohiro; Spohn, Herbert
2009
Steady state self-diffusion at low density. Zbl 0511.60098
Lebowitz, J. L.; Spohn, H.
1982
Binding energy for hydrogen-like atoms in the Nelson model without cutoffs. Zbl 1082.81088
Hainzl, Christian; Hirokawa, Masao; Spohn, Herbert
2005
A central limit theorem for Gibbs measures relative to Brownian motion. Zbl 1071.60072
Betz, Volker; Spohn, Herbert
2005
Semiclassical limit for the Schrödinger equation with a short scale periodic potential. Zbl 1052.81039
Hövermann, Frank; Spohn, Herbert; Teufel, Stefan
2001
Rotating charge coupled to the Maxwell field: scattering theory and adiabatic limit. Zbl 1082.35145
Imaikin, Valery; Komech, Alexander; Spohn, Herbert
2004
Gibbs measures relative to Brownian motion. Zbl 0965.60095
1999
Hydrodynamics of the voter model. Zbl 0527.60094
Presutti, Errico; Spohn, Herbert
1983
Coupled Kardar-Parisi-Zhang equations in one dimension. Zbl 1292.82039
Ferrari, Patrik L.; Sasamoto, Tomohiro; Spohn, Herbert
2013
An exactly solved model of three-dimensional surface growth in the anisotropic KPZ regime. Zbl 0945.82543
Prähofer, M.; Spohn, H.
1997
The Kardar-Parisi-Zhang equation: a statistical physics perspective. Zbl 1403.35295
Spohn, Herbert
2017
Limit distributions for KPZ growth models with spatially homogeneous random initial conditions. Zbl 1397.82040
Chhita, S.; Ferrari, P. L.; Spohn, H.
2018
Semiclassical limit of the Dirac equation and spin precession. Zbl 1112.81320
Spohn, Herbert
2000
Nonlinear fluctuating hydrodynamics in one dimension: the case of two conserved fields. Zbl 1327.82070
Spohn, Herbert; Stoltz, Gabriel
2015
A geometric viewpoint on generalized hydrodynamics. Zbl 1380.82048
Doyon, Benjamin; Spohn, Herbert; Yoshimura, Takato
2018
Mass renormalization in nonrelativistic quantum electrodynamics. Zbl 1067.81137
Hiroshima, Fumio; Spohn, Herbert
2005
Scattering theory for a particle coupled to a scalar field. Zbl 1052.37057
Imaikin, Valery; Komech, Alexander; Spohn, Herbert
2004
Stationary measures and hydrodynamics of zero range processes with several species of particles. Zbl 1083.82019
Großkinsky, Stefan; Spohn, Herbert
2003
Anomalous energy transport in the FPU-$$\beta$$ chain. Zbl 1214.82057
Lukkarinen, Jani; Spohn, Herbert
2008
Motion of electrons in adiabatically perturbed periodic structures. Zbl 1367.82012
Panati, Gianluca; Spohn, Herbert; Teufel, Stefan
2006
Scaling limit for Brownian motions with one-sided collisions. Zbl 1315.60108
Ferrari, Patrik L.; Spohn, Herbert; Weiss, Thomas
2015
Spectral analysis of the semi-relativistic Pauli-Fierz Hamiltonian. Zbl 1165.35034
2009
Nonequilibrium phenomena I: The Boltzmann equation. Zbl 0583.76004
1983
Generalized Gibbs ensembles of the classical Toda chain. Zbl 1461.76011
Spohn, Herbert
2020
Scattering asymptotics for a charged particle coupled to the Maxwell field. Zbl 1316.78002
Imaykin, Valery; Komech, Alexander; Spohn, Herbert
2011
Brownian motions with one-sided collisions: the stationary case. Zbl 1327.60188
Ferrari, Patrik Lino; Spohn, Herbert; Weiss, Thomas
2015
Form factors and generalized hydrodynamics for integrable systems. Zbl 07430625
Cubero, Axel Cortés; Yoshimura, Takato; Spohn, Herbert
2021
Generalized Gibbs ensembles of the classical Toda chain. Zbl 1461.76011
Spohn, Herbert
2020
Effective mass of the polaron – revisited. Zbl 1442.81028
Dybalski, Wojciech; Spohn, Herbert
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
2020
The $$1 + 1$$ dimensional Kardar-Parisi-Zhang equation: more surprises. Zbl 1457.82292
Spohn, Herbert
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
2020
Stochastic dynamics out of equilibrium. Lecture notes from the IHP trimester, Institut Henri Poincaré (IHP), Paris, France, April – July, 2017. Zbl 1422.82005
2019
Limit distributions for KPZ growth models with spatially homogeneous random initial conditions. Zbl 1397.82040
Chhita, S.; Ferrari, P. L.; Spohn, H.
2018
A geometric viewpoint on generalized hydrodynamics. Zbl 1380.82048
Doyon, Benjamin; Spohn, Herbert; Yoshimura, Takato
2018
Interacting and noninteracting integrable systems. Zbl 1397.81463
Spohn, Herbert
2018
The Kardar-Parisi-Zhang equation: a statistical physics perspective. Zbl 1403.35295
Spohn, Herbert
2017
Dynamics of hard rods with initial domain wall state. Zbl 1457.82247
Doyon, Benjamin; Spohn, Herbert
2017
Reflected Brownian motions in the KPZ universality class. Zbl 1366.82004
Weiss, Thomas; Ferrari, Patrik; Spohn, Herbert
2017
Shocks, rarefaction waves, and current fluctuations for anharmonic chains. Zbl 1369.82022
Mendl, Christian B.; Spohn, Herbert
2017
On time correlations for KPZ growth in one dimension. Zbl 1344.60095
Ferrari, Patrik L.; Spohn, Herbert
2016
The one-dimensional KPZ equation and its universality class. Zbl 1327.82069
Quastel, Jeremy; Spohn, Herbert
2015
Nonlinear fluctuating hydrodynamics in one dimension: the case of two conserved fields. Zbl 1327.82070
Spohn, Herbert; Stoltz, Gabriel
2015
Scaling limit for Brownian motions with one-sided collisions. Zbl 1315.60108
Ferrari, Patrik L.; Spohn, Herbert; Weiss, Thomas
2015
Brownian motions with one-sided collisions: the stationary case. Zbl 1327.60188
Ferrari, Patrik Lino; Spohn, Herbert; Weiss, Thomas
2015
Point-interacting Brownian motions in the KPZ universality class. Zbl 1328.60218
Sasamoto, Tomohiro; Spohn, Herbert
2015
Global well-posedness of the spatially homogeneous Hubbard-Boltzmann equation. Zbl 1314.35078
Lukkarinen, Jani; Mei, Peng; Spohn, Herbert
2015
Low temperature dynamics of the one-dimensional discrete nonlinear Schrödinger equation. Zbl 1456.82870
Mendl, Christian B.; Spohn, Herbert
2015
Current fluctuations for anharmonic chains in thermal equilibrium. Zbl 1456.82869
Mendl, Christian B.; Spohn, Herbert
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
2015
On the Lagrangian theory for rotating charge in the Maxwell field. Zbl 1303.35109
Imaykin, Valeriy; Komech, Alexander; Spohn, Herbert
2015
Nonlinear fluctuating hydrodynamics for anharmonic chains. Zbl 1291.82119
Spohn, Herbert
2014
KPZ scaling theory and the semidiscrete directed polymer model. Zbl 1329.82149
Spohn, Herbert
2014
Coupled Kardar-Parisi-Zhang equations in one dimension. Zbl 1292.82039
Ferrari, Patrik L.; Sasamoto, Tomohiro; Spohn, Herbert
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.
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
2013
Enhanced binding in quantum field theory. Zbl 1243.81013
Hiroshima, Fumio; Sasaki, Itaru; Spohn, Herbert; Suzuki, Akito
2012
Scale dependence of the retarded van der Waals potential. Zbl 1278.81079
2012
Weakly nonlinear Schrödinger equation with random initial data. Zbl 1235.76136
Lukkarinen, Jani; Spohn, Herbert
2011
Random growth models. Zbl 1234.60010
Ferrari, P. L.; Spohn, H.
2011
The propagator of the attractive delta-Bose gas in one dimension. Zbl 1273.81085
Prolhac, Sylvain; Spohn, Herbert
2011
Scaling limit for a class of gradient fields with nonconvex potentials. Zbl 1222.60076
Biskup, Marek; Spohn, Herbert
2011
Scattering asymptotics for a charged particle coupled to the Maxwell field. Zbl 1316.78002
Imaykin, Valery; Komech, Alexander; Spohn, Herbert
2011
Scattering of solitons for Dirac equation coupled to a particle. Zbl 1229.35228
Komech, A. I.; Kopylova, E. A.; Spohn, H.
2011
Weakly nonlinear wave equations with random initial data. Zbl 1230.82035
Spohn, Herbert
2011
The no-binding regime of the Pauli-Fierz model. Zbl 1317.81103
Hiroshima, Fumio; Spohn, Herbert; Suzuki, Akito
2011
Radiation reaction: a case study. Zbl 1228.78007
Spohn, Herbert
2011
Exact height distributions for the KPZ equation with narrow wedge initial condition. Zbl 1204.35137
Sasamoto, Tomohiro; Spohn, Herbert
2010
Kinetics of the Bose-Einstein condensation. Zbl 1186.82052
Spohn, Herbert
2010
The crossover regime for the weakly asymmetric simple exclusion process. Zbl 1197.82093
Sasamoto, Tomohiro; Spohn, Herbert
2010
Energy transport in stochastically perturbed lattice dynamics. Zbl 1187.82017
Basile, Giada; Olla, Stefano; Spohn, Herbert
2010
The $$1 + 1$$-dimensional Kardar-Parisi-Zhang equation and its universality class. Zbl 1459.82195
Sasamoto, Tomohiro; Spohn, Herbert
2010
Dynamical phase transition for a quantum particle source. Zbl 1211.82043
Butz, Maximilian; Spohn, Herbert
2010
Not to normal order-notes on the kinetic limit for weakly interacting quantum fluids. Zbl 1169.82016
Lukkarinen, Jani; Spohn, Herbert
2009
Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation. Zbl 1183.82019
Sasamoto, Tomohiro; Spohn, Herbert
2009
Spectral analysis of the semi-relativistic Pauli-Fierz Hamiltonian. Zbl 1165.35034
2009
Kramers degeneracy theorem in nonrelativistic QED. Zbl 1183.47078
Loss, Michael; Miyao, Tadahiro; Spohn, Herbert
2009
The retarded van der Waals potential: revisited. Zbl 1298.81414
2009
Energy current correlations for weakly anharmonic lattices. Zbl 1176.82028
Spohn, Herbert
2009
Anomalous energy transport in the FPU-$$\beta$$ chain. Zbl 1214.82057
Lukkarinen, Jani; Spohn, Herbert
2008
On the Boltzmann equation for weakly nonlinear wave equations. Zbl 1156.82312
Spohn, Herbert
2008
Kinetic limit for wave propagation in a random medium. Zbl 1176.60053
Lukkarinen, Jani; Spohn, Herbert
2007
Lowest energy states in nonrelativistic QED: atoms and ions in motion. Zbl 1118.81080
Loss, Michael; Miyao, Tadahiro; Spohn, Herbert
2007
The time-dependent Born-Oppenheimer approximation. Zbl 1135.81338
Panati, Gianluca; Spohn, Herbert; Teufel, Stefan
2007
The bipolaron in the strong coupling limit. Zbl 1206.82121
2007
Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process. Zbl 1118.82032
Ferrari, Patrik L.; Spohn, Herbert
2006
The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics. Zbl 1106.82033
Spohn, Herbert
2006
Domino tilings and the six-vertex model at its free-fermion point. Zbl 1114.82006
Ferrari, Patrik L.; Spohn, Herbert
2006
Energy transport in weakly anharmonic chains. Zbl 1135.82326
Aoki, Kenichiro; Lukkarinen, Jani; Spohn, Herbert
2006
Motion of electrons in adiabatically perturbed periodic structures. Zbl 1367.82012
Panati, Gianluca; Spohn, Herbert; Teufel, Stefan
2006
Local stationarity for lattice dynamics in the harmonic approximation. Zbl 1133.82315
Dudnikova, T. V.; Spohn, H.
2006
Collisional invariants for the phonon Boltzmann equation. Zbl 1104.82042
Spohn, Herbert
2006
Polymer pinning in a random medium as influence percolation. Zbl 1127.82047
Beffara, V.; Sidoravicius, V.; Spohn, H.; Vares, M. E.
2006
A remark on the strict positivity of the entropy production. Zbl 1108.81026
Aschbacher, Walter H.; Spohn, Herbert
2006
Towards a microscopic derivation of the phonon Boltzmann equation. Zbl 1170.82433
Spohn, Herbert
2006
Ground state for point particles interacting through a massless scalar Bose field. Zbl 1093.81046
Hirokawa, Masao; Hiroshima, Fumio; Spohn, Herbert
2005
Constrained Brownian motion: fluctuations away from circular and parabolic barriers. Zbl 1082.60071
Ferrari, Patrik L.; Spohn, Herbert
2005
Binding energy for hydrogen-like atoms in the Nelson model without cutoffs. Zbl 1082.81088
Hainzl, Christian; Hirokawa, Masao; Spohn, Herbert
2005
A central limit theorem for Gibbs measures relative to Brownian motion. Zbl 1071.60072
Betz, Volker; Spohn, Herbert
2005
Mass renormalization in nonrelativistic quantum electrodynamics. Zbl 1067.81137
Hiroshima, Fumio; Spohn, Herbert
2005
Stochastic growth in one dimension and Gaussian multi-matrix models. Zbl 1207.60062
Spohn, Herbert; Ferrari, Patrik L.; Prähofer, Michael
2005
Gibbs measures on Brownian paths: theory and applications. Zbl 1095.82002
Betz, Volker; Lörinczi, József; Spohn, Herbert
2005
Dynamics of charged particles and their radiation field. Zbl 1078.81004
Spohn, Herbert
2004
Exact scaling functions for one-dimensional stationary KPZ growth. Zbl 1157.82363
Prähofer, Michael; Spohn, Herbert
2004
Rotating charge coupled to the Maxwell field: scattering theory and adiabatic limit. Zbl 1082.35145
Imaikin, Valery; Komech, Alexander; Spohn, Herbert
2004
Scattering theory for a particle coupled to a scalar field. Zbl 1052.37057
Imaikin, Valery; Komech, Alexander; Spohn, Herbert
2004
Effective dynamics for Bloch electrons: Peierls substitution and beyond. Zbl 1058.81020
Panati, Gianluca; Spohn, Herbert; Teufel, Stefan
2003
Condensation in the zero range process: stationary and dynamical properties. Zbl 1081.82010
Großkinsky, Stefan; Schütz, Gunter M.; Spohn, Herbert
2003
Step fluctuations for a faceted crystal. Zbl 1116.82331
Ferrari, Patrik L.; Spohn, Herbert
2003
On the convergence to statistical equilibrium for harmonic crystals. Zbl 1062.82029
Dudnikova, T. V.; Komech, A. I.; Spohn, H.
2003
Stationary measures and hydrodynamics of zero range processes with several species of particles. Zbl 1083.82019
Großkinsky, Stefan; Spohn, Herbert
2003
Last branching in directed last passage percolation. Zbl 1042.82026
Ferrari, P. L.; Spohn, H.
2003
Scale invariance of the PNG droplet and the Airy process. Zbl 1025.82010
Prähofer, Michael; Spohn, Herbert
2002
Current fluctuations for the totally asymmetric simple exclusion process. Zbl 1015.60093
Prähofer, Michael; Spohn, Herbert
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.
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
2002
Soliton-type asymptotic and scattering for a charge coupled to the Maxwell field. Zbl 1104.78301
Imaikin, V.; Komech, A.; Spohn, H.
2002
Infrared regular representation of the three-dimensional massless Nelson model. Zbl 0996.82003
Lörinczi, József; Minlos, Robert A.; Spohn, Herbert
2002
On a two-temperature problem for wave equation. Zbl 1074.82001
Dudnikova, T. V.; Komech, A. I.; Spohn, H.
2002
Semiclassical motion of dressed electrons. Zbl 1037.81098
Teufel, Stefan; Spohn, Herbert
2002
Energy-momentum relation for solitary waves of relativistic wave equations. Zbl 1104.81308
Dudnikova, T. V.; Komech, A. I.; Spohn, H.
2002
Equilibrium fluctuations for $$\nabla\varphi$$ interface model. Zbl 1017.60100
Giacomin, Giambattista; Olla, Stefano; Spohn, Herbert
2001
Adiabatic decoupling and time-dependent Born-Oppenheimer theory. Zbl 1017.81014
Spohn, Herbert; Teufel, Stefan
2001
Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin. Zbl 1014.81067
Hiroshima, F.; Spohn, H.
2001
Semiclassical limit for the Schrödinger equation with a short scale periodic potential. Zbl 1052.81039
Hövermann, Frank; Spohn, Herbert; Teufel, Stefan
2001
Post-Coulombian dynamics at order $$c^{-3}$$. Zbl 1001.78007
Kunze, M.; Spohn, H.
2001
...and 72 more Documents
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### Cited by 2,310 Authors

 68 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 Olla, Stefano 28 Quastel, Jeremy 27 Landim, Claudio 27 Sasamoto, Tomohiro 26 Komech, Alexander Ilich 25 Derrida, Bernard 22 Schütz, Gunter M. 21 Gonçalves, Patrícia C. 21 Schlein, Benjamin 20 Bernardin, Cédric 20 Jara, Milton D. 20 Komorowski, Tomasz 19 Bertini, Lorenzo Bertini 18 Faupin, Jérémy 18 Kiessling, Michael Karl-Heinz 18 Pulvirenti, Mario 18 Sigal, Israel Michael 17 Chen, Thomas 17 Petrov, Leonid 17 Toninelli, Fabio Lucio 16 Dudnikova, Tat’yana V. 16 Pillet, Claude-Alain 16 Ryzhik, Lenya 15 Bal, Guillaume 15 Bodineau, Thierry 15 Ferrari, Pablo Augusto 15 Gabrielli, Davide 15 Gaspard, Pierre 15 Jakšić, Vojkan 15 Kondrat’yev, Yuriĭ Grygorovych 15 Yau, Horng-Tzer 14 Funaki, Tadahisa 14 Großkinsky, Stefan 14 Maes, Christian 14 Remenik, Daniel 14 Tracy, Craig Arnold 13 De Roeck, Wojciech 13 Dybalski, Wojciech 13 Johansson, Kurt 13 Le Doussal, Pierre 13 Lukkarinen, Jani 13 Miyao, Tadahiro 13 Nota, Alessia 13 Seppäläinen, Timo 13 Teufel, Stefan 13 Widom, Harold 12 Griesemer, Marcel 12 Imamura, Takashi 12 Kupiainen, Antti 12 Porta, Marcello 12 Rasulov, Tulkin Khusenovich 12 Sethuraman, Sunder 12 Velázquez, Juan J. L. 11 Amour, Laurent 11 Faggionato, Alessandra 11 Gorin, Vadim 11 Hasler, David G. 11 Møller, Jacob Schach 11 Pizzo, Alessandro 11 Presutti, Errico 11 Seiringer, Robert 11 Tran, Minh-Binh 10 Arai, Asao 10 Bach, Volker 10 Erdős, László 10 Hammond, Alan 10 Ioffe, Dmitry 10 Kopylova, Elena A. 10 Lu, Jianfeng 10 Panati, Gianluca 10 Pinaud, Olivier 10 Pronko, Andrei G. 10 Redig, Frank 9 Adler, Mark 9 Chetrite, Raphaël 9 Deckert, Dirk-André 9 Deuschel, Jean-Dominique 9 Dhar, Abhishek 9 Esposito, Raffaele 9 Eyink, Gregory L. 9 Golse, François 9 Hirokawa, Masao 9 Jabin, Pierre-Emmanuel 9 Lörinczi, József 9 Majumdar, Satya N. 9 Mallick, Kirone 9 Osada, Hirofumi 9 Saffirio, Chiara 9 Schehr, Grégory 9 Touchette, Hugo 9 Tsai, Li-cheng 8 Baik, Jinho 8 Benedikter, Niels ...and 2,210 more Authors
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### Cited in 282 Serials

 488 Journal of Statistical Physics 257 Communications in Mathematical Physics 152 Journal of Mathematical Physics 109 Journal of Statistical Mechanics: Theory and Experiment 80 The Annals of Probability 69 Probability Theory and Related Fields 65 Stochastic Processes and their Applications 59 Reviews in Mathematical Physics 54 Annales Henri Poincaré 47 Journal of Functional Analysis 46 Archive for Rational Mechanics and Analysis 40 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 37 Journal of Physics A: Mathematical and Theoretical 31 The Annals of Applied Probability 30 Communications on Pure and Applied Mathematics 28 Advances in Mathematics 25 Electronic Journal of Probability 24 Theoretical and Mathematical Physics 23 Physica A 22 Letters in Mathematical Physics 22 Physica D 18 Communications in Partial Differential Equations 17 Journal of Differential Equations 16 Journal of Mathematical Analysis and Applications 15 Journal of Computational Physics 15 New Journal of Physics 14 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 14 Journal of Mathematical Sciences (New York) 14 Kinetic and Related Models 12 Mathematical Physics, Analysis and Geometry 11 International Journal of Modern Physics B 11 Physics Reports 11 Inventiones Mathematicae 11 Annals of Physics 11 Chaos 10 Physics Letters. A 10 Transactions of the American Mathematical Society 10 SIAM Journal on Mathematical Analysis 10 Russian Journal of Mathematical Physics 10 Electronic Communications in Probability 10 Discrete and Continuous Dynamical Systems 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Nuclear Physics. B 9 Duke Mathematical Journal 9 Multiscale Modeling & Simulation 8 Nonlinearity 8 Reports on Mathematical Physics 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 Journal of the American Mathematical Society 7 Foundations of Physics 7 Proceedings of the Steklov Institute of Mathematics 6 Bulletin of the American Mathematical Society. New Series 6 Journal of Nonlinear Science 6 Journal of High Energy Physics 6 Physical Review Letters 6 ALEA. Latin American Journal of Probability and Mathematical Statistics 6 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 5 Chaos, Solitons and Fractals 5 Journal of Computational and Applied Mathematics 5 Potential Analysis 5 Calculus of Variations and Partial Differential Equations 5 Physics of Fluids 5 Stochastics and Dynamics 5 The European Physical Journal B. Condensed Matter and Complex Systems 5 Advances in Mathematical Physics 5 Forum of Mathematics, Pi 4 International Journal of Theoretical Physics 4 Mathematical Methods in the Applied Sciences 4 Annales de l’Institut Fourier 4 Mathematische Zeitschrift 4 Memoirs of the American Mathematical Society 4 Acta Applicandae Mathematicae 4 Journal of Theoretical Probability 4 SIAM Journal on Applied Mathematics 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. 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 Random Matrices: Theory and Applications 4 Forum of Mathematics, Sigma 4 Séminaire Laurent Schwartz. EDP et Applications 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 ...and 182 more Serials
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### Cited in 55 Fields

 1,603 Statistical mechanics, structure of matter (82-XX) 1,036 Probability theory and stochastic processes (60-XX) 663 Partial differential equations (35-XX) 597 Quantum theory (81-XX) 180 Fluid mechanics (76-XX) 159 Operator theory (47-XX) 132 Dynamical systems and ergodic theory (37-XX) 103 Linear and multilinear algebra; matrix theory (15-XX) 84 Optics, electromagnetic theory (78-XX) 70 Functional analysis (46-XX) 70 Numerical analysis (65-XX) 69 Combinatorics (05-XX) 44 Classical thermodynamics, heat transfer (80-XX) 44 Biology and other natural sciences (92-XX) 42 Ordinary differential equations (34-XX) 38 Mechanics of particles and systems (70-XX) 28 Relativity and gravitational theory (83-XX) 27 Statistics (62-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) 23 Calculus of variations and optimal control; optimization (49-XX) 20 Global analysis, analysis on manifolds (58-XX) 18 Differential geometry (53-XX) 17 Measure and integration (28-XX) 13 Real functions (26-XX) 12 Functions of a complex variable (30-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Operations research, mathematical programming (90-XX) 11 Computer science (68-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) 7 Number theory (11-XX) 7 Nonassociative rings and algebras (17-XX) 7 Topological groups, Lie groups (22-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) 5 Systems theory; control (93-XX) 4 Difference and functional equations (39-XX) 4 Abstract harmonic analysis (43-XX) 4 Astronomy and astrophysics (85-XX) 3 Algebraic geometry (14-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-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)

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