Edit Profile (opens in new tab) Pillet, Claude-Alain Co-Author Distance Author ID: pillet.claude-alain Published as: Pillet, C.-A.; Pillet, Claude-Alain; Pillet, C. A.; Pillet, C-A more...less Documents Indexed: 69 Publications since 1983 3 Contributions as Editor Co-Authors: 29 Co-Authors with 66 Joint Publications 467 Co-Co-Authors all top 5 Co-Authors 5 single-authored 49 Jakšić, Vojkan 7 Pautrat, Yan 7 Shirikyan, Armen R. 6 Bruneau, Laurent 6 Ogata, Yoshiko 5 Eckmann, Jean-Pierre 4 Benoist, Tristan 4 Joye, Alain 4 Nersesyan, Vahagn 3 Aschbacher, Walter H. 3 Attal, Stéphane 3 Last, Yoram 3 Rey-Bellet, Luc 2 Cornean, Horia D. 2 Cuneo, Noé 2 Moldoveanu, Valeriu 2 Seiringer, Robert 1 Bougron, Jean-François 1 Damak, Mondher 1 De Bièvre, Stephan 1 Dereziński, Jan 1 Fraas, Martin 1 Hammami, Mayssa 1 Landon, Benjamin A. 1 Panangaden, Jane 1 Panati, Annalisa 1 Sâad, R. Ben 1 Wayne, Clarence Eugene 1 Westrich, Matthias Christian all top 5 Serials 19 Communications in Mathematical Physics 11 Journal of Statistical Physics 7 Journal of Mathematical Physics 4 Reviews in Mathematical Physics 3 Letters in Mathematical Physics 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Annales Henri Poincaré 3 Lecture Notes in Mathematics 2 Nonlinearity 2 Markov Processes and Related Fields 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Helvetica Physica Acta 1 Reports on Mathematical Physics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Acta Mathematica 1 Journal of Differential Equations all top 5 Fields 53 Statistical mechanics, structure of matter (82-XX) 22 Quantum theory (81-XX) 20 Probability theory and stochastic processes (60-XX) 17 Functional analysis (46-XX) 15 Operator theory (47-XX) 12 Partial differential equations (35-XX) 4 General and overarching topics; collections (00-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Information and communication theory, circuits (94-XX) 2 Measure and integration (28-XX) 2 Fluid mechanics (76-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 1,092 times in 521 Documents Cited by ▼ Year ▼ Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures. Zbl 0932.60103Eckmann, J.-P.; Pillet, C.-A.; Rey-Bellet, L. 86 1999 Invariant manifolds for a class of dispersive, Hamiltonian, partial differential equations. Zbl 0890.35016Pillet, Claude-Alain; Wayne, C. Eugene 57 1997 On a model for quantum friction. III: Ergodic properties of the spin – boson system. Zbl 0864.47049Jakšić, Vojkan; Pillet, Claude-Alain 48 1996 Non-equilibrium steady states of finite quantum systems coupled to thermal reservoirs. Zbl 0990.82017Jakšić, V.; Pillet, C.-A. 48 2002 Entropic fluctuations in quantum statistical mechanics – an introduction. Zbl 1291.82001Jakšić, V.; Ogata, Y.; Pautrat, Y.; Pillet, C.-A. 47 2012 On a model for quantum friction. II: Fermi’s golden rule and dynamics at positive temperature. Zbl 0852.47038Jakšić, V.; Pillet, C.-A. 44 1996 Perturbation theory of \(W^ *\)-dynamics, Liouvilleans and KMS-states. Zbl 1090.46049Dereziński, J.; Jakšić, V.; Pillet, C.-A. 42 2003 Mathematical theory of non-equilibrium quantum statistical mechanics. Zbl 1025.82011Jakšić, V.; Pillet, C.-A. 40 2002 Transport properties of quasi-free fermions. Zbl 1137.82331Aschbacher, W.; Jakšić, V.; Pautrat, Y.; Pillet, C.-A. 34 2007 Entropy production in nonlinear, thermally driven Hamiltonian systems. Zbl 0964.82051Eckmann, Jean-Pierre; Pillet, Claude-Alain; Rey-Bellet, Luc 33 1999 Non-equilibrium steady states of the \(XY\) chain. Zbl 1032.82020Aschbacher, Walter H.; Pillet, Claude-Alain 31 2003 Topics in non-equilibrium quantum statistical mechanics. Zbl 1126.82032Aschbacher, Walter; Jakšić, Vojkan; Pautrat, Yan; Pillet, Claude-Alain 28 2006 Quantum hypothesis testing and non-equilibrium statistical mechanics. Zbl 1253.82052Jakšić, V.; Ogata, Y.; Pillet, C.-A.; Seiringer, R. 27 2012 On entropy production in quantum statistical mechanics. Zbl 1042.82031Jakšić, V.; Pillet, C.-A. 24 2001 On entropy production of repeated quantum measurements. I. General theory. Zbl 1393.81008Benoist, T.; Jakšić, V.; Pautrat, Y.; Pillet, C.-A. 23 2018 The Green-Kubo formula and the Onsager reciprocity relations in quantum statistical mechanics. Zbl 1104.82039Jakšić, V.; Ogata, Y.; Pillet, C. A. 22 2006 Thermal relaxation of a QED cavity. Zbl 1165.81043Bruneau, L.; Pillet, C.-A. 22 2009 Some results on the quantum dynamics of a particle in a Markovian potential. Zbl 0591.60073Pillet, Claude-Alain 22 1985 The Green-Kubo formula for locally interacting fermionic open systems. Zbl 1375.82064Jakšić, Vojkan; Ogata, Yoshiko; Pillet, Claude-Alain 20 2007 Entropic fluctuations in statistical mechanics. I: Classical dynamical systems. Zbl 1234.37012Jakšić, V.; Pillet, C-A; Rey-Bellet, L. 20 2011 Entropic fluctuations of quantum dynamical semigroups. Zbl 1291.82066Jakšić, V.; Pillet, C.-A.; Westrich, M. 19 2014 Large deviations and Gallavotti-Cohen principle for dissipative PDEs with rough noise. Zbl 1314.60077Jakšić, V.; Nersesyan, V.; Pillet, C.-A.; Shirikyan, A. 16 2015 Ergodic properties of classical dissipative systems. I. Zbl 0976.37002Jakšić, Vojkan; Pillet, Claude-Alain 15 1998 Entropic fluctuations in thermally driven harmonic networks. Zbl 1414.82023Jakšić, V.; Pillet, C.-A.; Shirikyan, A. 14 2017 Linear response theory for thermally driven quantum open systems. Zbl 1101.82029Jakšić, V.; Ogata, Y.; Pillet, C.-A. 14 2006 Large deviations from a stationary measure for a class of dissipative PDEs with random kicks. Zbl 1328.60076Jakšić, Vojkan; Nersesyan, Vahagn; Pillet, Claude-Alain; Shirikyan, Armen 14 2015 Open quantum systems II. The Markovian approach. Lecture notes of the summer school, Grenoble, France, June 16th – July 4th 2003. Zbl 1103.81003 13 2006 The Green-Kubo formula for the spin-Fermion system. Zbl 1147.82338Jakšić, V.; Ogata, Y.; Pillet, C.-A. 13 2006 Open quantum systems III. Recent developments. Lecture notes of the summer school, Grenoble, France, June 16th – July 4th 2003. Zbl 1103.81002 12 2006 Spectral duality for planar billiards. Zbl 0834.35096Eckmann, Jean-Pierre; Pillet, Claude-Alain 11 1995 Landauer-Büttiker formula and Schrödinger conjecture. Zbl 1277.82055Bruneau, L.; Jakšić, V.; Pillet, C.-A. 11 2013 Scattering induced current in a tight-binding band. Zbl 1314.82039Bruneau, L.; De Bièvre, S.; Pillet, C.-A. 10 2011 Mathematical theory of the Wigner-Weisskopf atom. Zbl 1108.81054Jakšić, V.; Kritchevski, E.; Pillet, C.-A. 10 2006 Ergodic properties of the non-Markovian Langevin equation. Zbl 0894.60051Jakšić, Vojkan; Pillet, Claude-Alain 10 1997 Degenerate asymptotic perturbation theory. Zbl 0522.47011Hunziker, W.; Pillet, C. A. 10 1983 Spectral theory of thermal relaxation. Zbl 0891.47053Jakšić, Vojkan; Pillet, Claude-Alain 10 1997 On a model for quantum friction. I: Fermi’s golden rule and dynamics at zero temperature. Zbl 0846.47050Jakšić, V.; Pillet, C. A. 10 1995 Large deviations and mixing for dissipative PDEs with unbounded random kicks. Zbl 1382.35191Jakšić, V.; Nersesyan, V.; Pillet, C.-A.; Shirikyan, A. 9 2018 Entropic fluctuations in \(XY\) chains and reflectionless Jacobi matrices. Zbl 1281.82017Jakšić, Vojkan; Landon, Benjamin; Pillet, Claude-Alain 9 2013 Open quantum systems I. The Hamiltonian approach. Lecture notes of the summer school, Grenoble, France June 16th – July 4th 2003. Zbl 1103.81004 9 2006 A note on the entropy production formula. Zbl 1044.46050Jakšić, Vojkan; Pillet, Claude-Alain 9 2003 Quantum dynamical systems. Zbl 1134.82017Pillet, Claude-Alain 9 2006 A quantum central limit theorem for sums of independent identically distributed random variables. Zbl 1417.81144Jakšić, V.; Pautrat, Y.; Pillet, C.-A. 9 2010 On entropy production of repeated quantum measurements. II: Examples. Zbl 1462.81020Benoist, T.; Cuneo, N.; Jakšić, V.; Pillet, C.-A. 8 2021 A note on the Landauer principle in quantum statistical mechanics. Zbl 1298.81132Jakšić, Vojkan; Pillet, Claude-Alain 8 2014 Central limit theorem for locally interacting Fermi gas. Zbl 1228.82070Jakšić, V.; Pautrat, Y.; Pillet, C.-A. 8 2009 Landauer-Büttiker and Thouless conductance. Zbl 1323.82026Bruneau, L.; Jakšić, V.; Last, Y.; Pillet, C.-A. 7 2015 A note on eigenvalues of Liouvilleans. Zbl 0991.46037Jakšić, V.; Pillet, C.-A. 7 2001 Large deviations and fluctuation theorem for selectively decoupled measures on shift spaces. Zbl 1435.37007Cuneo, Noé; Jakšić, Vojkan; Pillet, Claude-Alain; Shirikyan, Armen 7 2019 Zeta functions with Dirichlet and Neumann boundary conditions for exterior domains. Zbl 0871.35070Eckmann, J.-P.; Pillet, C.-A. 7 1997 Entropic fluctuations in Gaussian dynamical systems. Zbl 1366.82030Jakšić, V.; Pillet, C.-A.; Shirikyan, A. 6 2016 A geometric approach to the Landauer-Büttiker formula. Zbl 1297.82033Sâad, R. Ben; Pillet, C.-A. 6 2014 Conductance and absolutely continuous spectrum of 1D samples. Zbl 1347.82017Bruneau, L.; Jakšić, V.; Last, Y.; Pillet, C.-A. 5 2016 Asymptotic completeness for a quantum particle in a Markovian short range potential. Zbl 0618.60086Pillet, Claude-Alain 5 1986 Crystalline conductance and absolutely continuous spectrum of 1D samples. Zbl 1338.82032Bruneau, Laurent; Jakšić, Vojkan; Last, Yoram; Pillet, Claude-Alain 4 2016 On the steady state correlation functions of open interacting systems. Zbl 1302.82095Cornean, H. D.; Moldoveanu, V.; Pillet, C.-A. 4 2014 Large deviations and entropy production in viscous fluid flows. Zbl 1467.93036Jakšić, V.; Nersesyan, V.; Pillet, C.-A.; Shirikyan, A. 3 2021 Entropic functionals in quantum statistical mechanics. Zbl 1304.82044Jakšić, V.; Pillet, C.-A. 3 2014 Energy statistics in open harmonic networks. Zbl 1374.82010Benoist, Tristan; Jakšić, Vojkan; Pillet, Claude-Alain 3 2017 Full statistics of erasure processes: isothermal adiabatic theory and a statistical Landauer principle. Zbl 1389.81010Benoist, T.; Fraas, M.; Jakšić, V.; Pillet, C.-A. 3 2017 Energy conservation, counting statistics, and return to equilibrium. Zbl 1320.82038Jakšić, Vojkan; Panangaden, Jane; Panati, Annalisa; Pillet, Claude-Alain 2 2015 On the strict positivity of entropy production. Zbl 1141.82317Jakšić, Vojkan; Pillet, Claude-Alain 2 2007 Entropy production in classical and quantum systems. Zbl 1129.81323Pillet, C. A. 2 2001 From resonances to master equations. Zbl 0910.60084Jakšić, Vojkan; Pillet, Claude-Alain 2 1997 A detailed fluctuation theorem for heat fluxes in harmonic networks out of thermal equilibrium. Zbl 1445.82011Damak, Mondher; Hammami, Mayssa; Pillet, Claude-Alain 2 2020 A non-commutative Lévy-Cramér continuity theorem. Zbl 1195.81022Jakšic, V.; Pautrat, Y.; Pillet, C.-A. 2 2010 A mathematical account of the NEGF formalism. Zbl 1383.81368Cornean, Horia D.; Moldoveanu, Valeriu; Pillet, Claude-Alain 1 2018 Scattering phases and density of states for exterior domains. Zbl 0834.35095Eckmann, J.-P.; Pillet, C.-A. 1 1995 On entropy production of repeated quantum measurements. II: Examples. Zbl 1462.81020Benoist, T.; Cuneo, N.; Jakšić, V.; Pillet, C.-A. 8 2021 Large deviations and entropy production in viscous fluid flows. Zbl 1467.93036Jakšić, V.; Nersesyan, V.; Pillet, C.-A.; Shirikyan, A. 3 2021 A detailed fluctuation theorem for heat fluxes in harmonic networks out of thermal equilibrium. Zbl 1445.82011Damak, Mondher; Hammami, Mayssa; Pillet, Claude-Alain 2 2020 Large deviations and fluctuation theorem for selectively decoupled measures on shift spaces. Zbl 1435.37007Cuneo, Noé; Jakšić, Vojkan; Pillet, Claude-Alain; Shirikyan, Armen 7 2019 On entropy production of repeated quantum measurements. I. General theory. Zbl 1393.81008Benoist, T.; Jakšić, V.; Pautrat, Y.; Pillet, C.-A. 23 2018 Large deviations and mixing for dissipative PDEs with unbounded random kicks. Zbl 1382.35191Jakšić, V.; Nersesyan, V.; Pillet, C.-A.; Shirikyan, A. 9 2018 A mathematical account of the NEGF formalism. Zbl 1383.81368Cornean, Horia D.; Moldoveanu, Valeriu; Pillet, Claude-Alain 1 2018 Entropic fluctuations in thermally driven harmonic networks. Zbl 1414.82023Jakšić, V.; Pillet, C.-A.; Shirikyan, A. 14 2017 Energy statistics in open harmonic networks. Zbl 1374.82010Benoist, Tristan; Jakšić, Vojkan; Pillet, Claude-Alain 3 2017 Full statistics of erasure processes: isothermal adiabatic theory and a statistical Landauer principle. Zbl 1389.81010Benoist, T.; Fraas, M.; Jakšić, V.; Pillet, C.-A. 3 2017 Entropic fluctuations in Gaussian dynamical systems. Zbl 1366.82030Jakšić, V.; Pillet, C.-A.; Shirikyan, A. 6 2016 Conductance and absolutely continuous spectrum of 1D samples. Zbl 1347.82017Bruneau, L.; Jakšić, V.; Last, Y.; Pillet, C.-A. 5 2016 Crystalline conductance and absolutely continuous spectrum of 1D samples. Zbl 1338.82032Bruneau, Laurent; Jakšić, Vojkan; Last, Yoram; Pillet, Claude-Alain 4 2016 Large deviations and Gallavotti-Cohen principle for dissipative PDEs with rough noise. Zbl 1314.60077Jakšić, V.; Nersesyan, V.; Pillet, C.-A.; Shirikyan, A. 16 2015 Large deviations from a stationary measure for a class of dissipative PDEs with random kicks. Zbl 1328.60076Jakšić, Vojkan; Nersesyan, Vahagn; Pillet, Claude-Alain; Shirikyan, Armen 14 2015 Landauer-Büttiker and Thouless conductance. Zbl 1323.82026Bruneau, L.; Jakšić, V.; Last, Y.; Pillet, C.-A. 7 2015 Energy conservation, counting statistics, and return to equilibrium. Zbl 1320.82038Jakšić, Vojkan; Panangaden, Jane; Panati, Annalisa; Pillet, Claude-Alain 2 2015 Entropic fluctuations of quantum dynamical semigroups. Zbl 1291.82066Jakšić, V.; Pillet, C.-A.; Westrich, M. 19 2014 A note on the Landauer principle in quantum statistical mechanics. Zbl 1298.81132Jakšić, Vojkan; Pillet, Claude-Alain 8 2014 A geometric approach to the Landauer-Büttiker formula. Zbl 1297.82033Sâad, R. Ben; Pillet, C.-A. 6 2014 On the steady state correlation functions of open interacting systems. Zbl 1302.82095Cornean, H. D.; Moldoveanu, V.; Pillet, C.-A. 4 2014 Entropic functionals in quantum statistical mechanics. Zbl 1304.82044Jakšić, V.; Pillet, C.-A. 3 2014 Landauer-Büttiker formula and Schrödinger conjecture. Zbl 1277.82055Bruneau, L.; Jakšić, V.; Pillet, C.-A. 11 2013 Entropic fluctuations in \(XY\) chains and reflectionless Jacobi matrices. Zbl 1281.82017Jakšić, Vojkan; Landon, Benjamin; Pillet, Claude-Alain 9 2013 Entropic fluctuations in quantum statistical mechanics – an introduction. Zbl 1291.82001Jakšić, V.; Ogata, Y.; Pautrat, Y.; Pillet, C.-A. 47 2012 Quantum hypothesis testing and non-equilibrium statistical mechanics. Zbl 1253.82052Jakšić, V.; Ogata, Y.; Pillet, C.-A.; Seiringer, R. 27 2012 Entropic fluctuations in statistical mechanics. I: Classical dynamical systems. Zbl 1234.37012Jakšić, V.; Pillet, C-A; Rey-Bellet, L. 20 2011 Scattering induced current in a tight-binding band. Zbl 1314.82039Bruneau, L.; De Bièvre, S.; Pillet, C.-A. 10 2011 A quantum central limit theorem for sums of independent identically distributed random variables. Zbl 1417.81144Jakšić, V.; Pautrat, Y.; Pillet, C.-A. 9 2010 A non-commutative Lévy-Cramér continuity theorem. Zbl 1195.81022Jakšic, V.; Pautrat, Y.; Pillet, C.-A. 2 2010 Thermal relaxation of a QED cavity. Zbl 1165.81043Bruneau, L.; Pillet, C.-A. 22 2009 Central limit theorem for locally interacting Fermi gas. Zbl 1228.82070Jakšić, V.; Pautrat, Y.; Pillet, C.-A. 8 2009 Transport properties of quasi-free fermions. Zbl 1137.82331Aschbacher, W.; Jakšić, V.; Pautrat, Y.; Pillet, C.-A. 34 2007 The Green-Kubo formula for locally interacting fermionic open systems. Zbl 1375.82064Jakšić, Vojkan; Ogata, Yoshiko; Pillet, Claude-Alain 20 2007 On the strict positivity of entropy production. Zbl 1141.82317Jakšić, Vojkan; Pillet, Claude-Alain 2 2007 Topics in non-equilibrium quantum statistical mechanics. Zbl 1126.82032Aschbacher, Walter; Jakšić, Vojkan; Pautrat, Yan; Pillet, Claude-Alain 28 2006 The Green-Kubo formula and the Onsager reciprocity relations in quantum statistical mechanics. Zbl 1104.82039Jakšić, V.; Ogata, Y.; Pillet, C. A. 22 2006 Linear response theory for thermally driven quantum open systems. Zbl 1101.82029Jakšić, V.; Ogata, Y.; Pillet, C.-A. 14 2006 Open quantum systems II. The Markovian approach. Lecture notes of the summer school, Grenoble, France, June 16th – July 4th 2003. Zbl 1103.81003 13 2006 The Green-Kubo formula for the spin-Fermion system. Zbl 1147.82338Jakšić, V.; Ogata, Y.; Pillet, C.-A. 13 2006 Open quantum systems III. Recent developments. Lecture notes of the summer school, Grenoble, France, June 16th – July 4th 2003. Zbl 1103.81002 12 2006 Mathematical theory of the Wigner-Weisskopf atom. Zbl 1108.81054Jakšić, V.; Kritchevski, E.; Pillet, C.-A. 10 2006 Open quantum systems I. The Hamiltonian approach. Lecture notes of the summer school, Grenoble, France June 16th – July 4th 2003. Zbl 1103.81004 9 2006 Quantum dynamical systems. Zbl 1134.82017Pillet, Claude-Alain 9 2006 Perturbation theory of \(W^ *\)-dynamics, Liouvilleans and KMS-states. Zbl 1090.46049Dereziński, J.; Jakšić, V.; Pillet, C.-A. 42 2003 Non-equilibrium steady states of the \(XY\) chain. Zbl 1032.82020Aschbacher, Walter H.; Pillet, Claude-Alain 31 2003 A note on the entropy production formula. Zbl 1044.46050Jakšić, Vojkan; Pillet, Claude-Alain 9 2003 Non-equilibrium steady states of finite quantum systems coupled to thermal reservoirs. Zbl 0990.82017Jakšić, V.; Pillet, C.-A. 48 2002 Mathematical theory of non-equilibrium quantum statistical mechanics. Zbl 1025.82011Jakšić, V.; Pillet, C.-A. 40 2002 On entropy production in quantum statistical mechanics. Zbl 1042.82031Jakšić, V.; Pillet, C.-A. 24 2001 A note on eigenvalues of Liouvilleans. Zbl 0991.46037Jakšić, V.; Pillet, C.-A. 7 2001 Entropy production in classical and quantum systems. Zbl 1129.81323Pillet, C. A. 2 2001 Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures. Zbl 0932.60103Eckmann, J.-P.; Pillet, C.-A.; Rey-Bellet, L. 86 1999 Entropy production in nonlinear, thermally driven Hamiltonian systems. Zbl 0964.82051Eckmann, Jean-Pierre; Pillet, Claude-Alain; Rey-Bellet, Luc 33 1999 Ergodic properties of classical dissipative systems. I. Zbl 0976.37002Jakšić, Vojkan; Pillet, Claude-Alain 15 1998 Invariant manifolds for a class of dispersive, Hamiltonian, partial differential equations. Zbl 0890.35016Pillet, Claude-Alain; Wayne, C. Eugene 57 1997 Ergodic properties of the non-Markovian Langevin equation. Zbl 0894.60051Jakšić, Vojkan; Pillet, Claude-Alain 10 1997 Spectral theory of thermal relaxation. Zbl 0891.47053Jakšić, Vojkan; Pillet, Claude-Alain 10 1997 Zeta functions with Dirichlet and Neumann boundary conditions for exterior domains. Zbl 0871.35070Eckmann, J.-P.; Pillet, C.-A. 7 1997 From resonances to master equations. Zbl 0910.60084Jakšić, Vojkan; Pillet, Claude-Alain 2 1997 On a model for quantum friction. III: Ergodic properties of the spin – boson system. Zbl 0864.47049Jakšić, Vojkan; Pillet, Claude-Alain 48 1996 On a model for quantum friction. II: Fermi’s golden rule and dynamics at positive temperature. Zbl 0852.47038Jakšić, V.; Pillet, C.-A. 44 1996 Spectral duality for planar billiards. Zbl 0834.35096Eckmann, Jean-Pierre; Pillet, Claude-Alain 11 1995 On a model for quantum friction. I: Fermi’s golden rule and dynamics at zero temperature. Zbl 0846.47050Jakšić, V.; Pillet, C. A. 10 1995 Scattering phases and density of states for exterior domains. Zbl 0834.35095Eckmann, J.-P.; Pillet, C.-A. 1 1995 Asymptotic completeness for a quantum particle in a Markovian short range potential. Zbl 0618.60086Pillet, Claude-Alain 5 1986 Some results on the quantum dynamics of a particle in a Markovian potential. Zbl 0591.60073Pillet, Claude-Alain 22 1985 Degenerate asymptotic perturbation theory. Zbl 0522.47011Hunziker, W.; Pillet, C. A. 10 1983 all cited Publications top 5 cited Publications all top 5 Cited by 545 Authors 40 Pillet, Claude-Alain 37 Jakšić, Vojkan 24 Merkli, Marco 16 Fröhlich, Jürg Martin 16 Joye, Alain 13 Bruneau, Laurent 13 Cuccagna, Scipio 11 De Roeck, Wojciech 11 Nersesyan, Vahagn 11 Pautrat, Yan 9 Pellegrini, Clément 9 Raquépas, Renaud 8 Aschbacher, Walter H. 8 Bru, Jean-Bernard 8 Hairer, Martin 8 Komech, Alexander Ilich 8 Xu, Lihu 7 Benoist, Tristan 7 Cornean, Horia D. 7 Cuneo, Noé 7 De Siqueira Pedra, Walter 7 Kopylova, Elena A. 7 Ogata, Yoshiko 7 Schenker, Jeffrey H. 7 Shirikyan, Armen R. 7 Sigal, Israel Michael 6 Attal, Stéphane 6 Dereziński, Jan 6 Doyon, Benjamin 6 Eckmann, Jean-Pierre 6 Lebowitz, Joel Louis 5 Dudnikova, Tat’yana V. 5 Dymov, Andrey V. 5 Gallavotti, Giovanni M. 5 Könenberg, Martin 5 Lopes, Artur Oscar 5 Maeda, Masaya 5 Mosonyi, Milán 5 Nenciu, Gheorghe 5 Panati, Annalisa 4 Caliceti, Emanuela 4 Comech, Andrew 4 Datta, Nilanjana 4 Deschamps, Julien 4 Fagnola, Franco 4 Fraas, Martin 4 Gaspard, Pierre 4 Hérau, Frédéric 4 Jäkel, Christian D. 4 Jauslin, Hans-Rudolf 4 Landon, Benjamin A. 4 Last, Yoram 4 Menozzi, Stéphane 4 Pelinovsky, Dmitry Efimovich 4 Schlein, Benjamin 4 Tsai, Tai-Peng 4 Wang, Ran 4 Wreszinski, Walter F. 4 Zagrebnov, Valentin A. 3 Bach, Volker 3 Ballesteros, Miguel 3 Beceanu, Marius 3 Berman, Gennady P. 3 Carbone, Raffaella 3 De Bièvre, Stephan 3 Dhahri, Ameur 3 Drago, Nicolò 3 Frank, Rupert L. 3 Fujiwara, Akio 3 Gérard, Christian 3 Girotti, Federico 3 Guta, Madalin I. 3 Hertling, Carolin 3 Hiai, Fumio 3 Kupiainen, Antti 3 Li, Yao 3 Lieb, Elliott Hershel 3 Menegaki, Angeliki 3 Mengue, Jairo K. 3 Møller, Jacob Schach 3 Narnhofer, Heide 3 Olla, Stefano 3 Panangaden, Jane 3 Rey-Bellet, Luc 3 Rouzé, Cambyse 3 Schlag, Wilhelm 3 Song, Haifeng 3 Spehner, Dominique 3 Spohn, Herbert 3 Stoltz, Gabriel 3 Teufel, Stefan 3 Thomas, Lawrence E. 3 Weinstein, Michael I. 3 Westrich, Matthias Christian 3 Xiong, Jie 3 Yamagata, Koichi 2 Andréys, Simon 2 Arai, Asao 2 Audenaert, Koenraad M. R. 2 Avron, Joseph E. ...and 445 more Authors all top 5 Cited in 113 Serials 70 Communications in Mathematical Physics 67 Journal of Statistical Physics 57 Journal of Mathematical Physics 41 Annales Henri Poincaré 24 Reviews in Mathematical Physics 17 Journal of Functional Analysis 16 Letters in Mathematical Physics 11 Stochastic Processes and their Applications 10 Journal of Physics A: Mathematical and Theoretical 9 Journal of Differential Equations 6 Archive for Rational Mechanics and Analysis 6 Annales de l’Institut Henri Poincaré. Physique Théorique 6 Journal of Statistical Mechanics: Theory and Experiment 5 Communications on Pure and Applied Mathematics 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 SIAM Journal on Mathematical Analysis 5 Chaos 5 New Journal of Physics 4 Journal of Mathematical Analysis and Applications 4 Communications in Partial Differential Equations 4 Russian Journal of Mathematical Physics 3 Applicable Analysis 3 Nonlinearity 3 Nuclear Physics. B 3 Advances in Mathematics 3 Memoirs of the American Mathematical Society 3 Physica D 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Linear Algebra and its Applications 3 Discrete and Continuous Dynamical Systems 3 Open Systems & Information Dynamics 3 Journal de l’École Polytechnique – Mathématiques 3 Pure and Applied Analysis 2 International Journal of Modern Physics B 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Reports on Mathematical Physics 2 Russian Mathematical Surveys 2 Theoretical and Mathematical Physics 2 Annales de l’Institut Fourier 2 The Annals of Probability 2 The Annals of Statistics 2 Dissertationes Mathematicae 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Transactions of the American Mathematical Society 2 Ergodic Theory and Dynamical Systems 2 Probability Theory and Related Fields 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Potential Analysis 2 Communications in Contemporary Mathematics 2 Stochastics and Dynamics 2 Discrete and Continuous Dynamical Systems. Series S 2 Quantum Studies: Mathematics and Foundations 1 Computer Physics Communications 1 Indian Journal of Pure & Applied Mathematics 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Physica A 1 Physics Reports 1 Acta Mathematica 1 Duke Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 SIAM Journal on Computing 1 Statistics & Probability Letters 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Journal of Theoretical Probability 1 Journal of the American Mathematical Society 1 Sugaku Expositions 1 The Annals of Applied Probability 1 Annals of Physics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 St. Petersburg Mathematical Journal 1 Electronic Journal of Probability 1 Bernoulli 1 Journal of Mathematical Chemistry 1 Mathematical Physics, Analysis and Geometry 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Annalen der Physik. 8th Series 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal of High Energy Physics 1 Qualitative Theory of Dynamical Systems 1 Physical Review Letters 1 Discrete and Continuous Dynamical Systems. Series B 1 Entropy 1 Multiscale Modeling & Simulation 1 Quantum Information Processing 1 Cubo 1 Boundary Value Problems 1 Proceedings of the Steklov Institute of Mathematics ...and 13 more Serials all top 5 Cited in 38 Fields 253 Statistical mechanics, structure of matter (82-XX) 241 Quantum theory (81-XX) 140 Partial differential equations (35-XX) 128 Probability theory and stochastic processes (60-XX) 79 Operator theory (47-XX) 69 Dynamical systems and ergodic theory (37-XX) 61 Functional analysis (46-XX) 32 Information and communication theory, circuits (94-XX) 21 Ordinary differential equations (34-XX) 19 Classical thermodynamics, heat transfer (80-XX) 16 Statistics (62-XX) 14 Fluid mechanics (76-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Mechanics of particles and systems (70-XX) 11 Numerical analysis (65-XX) 11 Optics, electromagnetic theory (78-XX) 10 Systems theory; control (93-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Real functions (26-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Relativity and gravitational theory (83-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year