Edit Profile (opens in new tab) Liverani, Carlangelo Co-Author Distance Author ID: liverani.carlangelo Published as: Liverani, Carlangelo; Liverani, C. External Links: MGP · ORCID · Wikidata · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 84 Publications since 1983, including 1 Book and 7 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 46 Co-Authors with 67 Joint Publications 1,106 Co-Co-Authors all top 5 Co-Authors 18 single-authored 9 Keller, Gerhard 8 Olla, Stefano 5 Demers, Mark F. 4 de Simoi, Jacopo 4 Dolgopyat, Dmitry 3 Bahsoun, Wael 3 Baladi, Viviane 3 Butterley, Oliver 3 Fidaleo, Francesco 3 Giulietti, Paolo 3 Lebowitz, Joel Louis 3 Vaienti, Sandro 3 Wojtkowski, Maciej P. 2 Bernardin, Cédric 2 Gouëzel, Sébastien 2 Huveneers, François 2 Kiamari, Niloofar 2 Pollicott, Mark 2 Saussol, Benoît 2 Turchetti, Giorgio 1 Aimino, Romain 1 Ayyer, Arvind 1 Blank, Michael 1 Bressaud, Xavier 1 Bunimovich, Leonid Abramovich 1 Canestrari, Giovanni 1 Castorrini, Roberto 1 Donnay, Victor J. 1 Dürr, Detlef 1 Eslami, Peyman 1 Fernando, Kasun 1 Fritz, József 1 Jain, Sakshi 1 Marie, Philippe 1 Martens, Marco 1 Maume-Deschamps, Véronique 1 Orlandi, Enza 1 Pellegrinotti, Alessandro 1 Poquet, Christophe 1 Sasada, Makiko 1 Sélley, Fanni M. 1 Stenlund, Mikko 1 Suhov, Yurii Mikhailovich 1 Terhesiu, Dalia 1 Tsujii, Masato 1 Volk, Denis Sergeevich all top 5 Serials 14 Communications in Mathematical Physics 7 Ergodic Theory and Dynamical Systems 6 Journal of Statistical Physics 5 Nonlinearity 4 Discrete and Continuous Dynamical Systems 3 Inventiones Mathematicae 3 Annals of Mathematics. Second Series 3 Journal of Modern Dynamics 2 Advances in Mathematics 2 The Annals of Probability 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Journal of Differential Geometry 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Probability Theory and Related Fields 1 Journal of the American Mathematical Society 1 Mathematical Physics Electronic Journal 1 Electronic Communications in Probability 1 Markov Processes and Related Fields 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Oberwolfach Reports 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Publicações Matemáticas do IMPA all top 5 Fields 66 Dynamical systems and ergodic theory (37-XX) 21 Statistical mechanics, structure of matter (82-XX) 17 Probability theory and stochastic processes (60-XX) 9 Operator theory (47-XX) 3 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 2 Measure and integration (28-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 70 Publications have been cited 2,063 times in 1,087 Documents Cited by ▼ Year ▼ A probabilistic approach to intermittency. Zbl 0988.37035 Liverani, Carlangelo; Saussol, Benoît; Vaienti, Sandro 183 1999 Banach spaces adapted to Anosov systems. Zbl 1088.37010 Gouëzel, Sébastien; Liverani, Carlangelo 152 2006 Stability of the spectrum for transfer operators. Zbl 0956.37003 Keller, Gerhard; Liverani, Carlangelo 141 1999 On contact Anosov flows. Zbl 1067.37031 Liverani, Carlangelo 136 2004 Decay of correlations. Zbl 0871.58059 Liverani, Carlangelo 128 1995 Ruelle-Perron-Frobenius spectrum for Anosov maps. Zbl 1021.37015 Blank, Michael; Keller, Gerhard; Liverani, Carlangelo 107 2002 Smooth Anosov flows: Correlation spectra and stability. Zbl 1144.37011 Butterley, Oliver; Liverani, Carlangelo 89 2007 Anosov flows and dynamical zeta functions. Zbl 1418.37042 Giulietti, Paolo; Liverani, Carlangelo; Pollicott, Mark 65 2013 Rare events, escape rates and quasistationarity: Some Exact formulae. Zbl 1179.37010 Keller, Gerhard; Liverani, Carlangelo 61 2009 Decay of correlations for piecewise expanding maps. Zbl 1080.37501 Liverani, Carlangelo 61 1995 Compact locally maximal hyperbolic sets for smooth maps: Fine statistical properties. Zbl 1166.37010 Gouëzel, Sébastien; Liverani, Carlangelo 58 2008 Stability of statistical properties in two-dimensional piecewise hyperbolic maps. Zbl 1153.37019 Demers, Mark F.; Liverani, Carlangelo 54 2008 Central limit theorem for deterministic systems. Zbl 0871.58055 Liverani, Carlangelo 54 1996 Exponential decay of correlations for finite horizon Sinai billiard flows. Zbl 1382.37037 Baladi, Viviane; Demers, Mark F.; Liverani, Carlangelo 47 2018 Ergodicity in Hamiltonian systems. Zbl 0824.58033 Liverani, Carlangelo; Wojtkowski, Maciej P. 41 1995 Lasota-Yorke maps with holes: Conditionally invariant probability measures and invariant probability measures on the survivor set. Zbl 1021.37002 Liverani, Carlangelo; Maume-Deschamps, Véronique 36 2003 Rigorous numerical investigation of the statistical properties of piecewise expanding maps. A feasibility study. Zbl 0991.37002 Liverani, Carlangelo 35 2001 Conformal measure and decay of correlation for covering weighted systems. Zbl 0915.58061 Liverani, Carlangelo; Saussol, Benoit; Vaienti, Sandro 34 1998 Uniqueness of the SRB measure for piecewise expanding weakly coupled map lattices in any dimension. Zbl 1107.37019 Keller, Gerhard; Liverani, Carlangelo 31 2006 Conformally symplectic dynamics and symmetry of the Lyapunov spectrum. Zbl 0951.37016 Wojtkowski, Maciej P.; Liverani, Carlangelo 28 1998 Ergodic systems of \(n\) balls in a billiard table. Zbl 0759.58023 Bunimovich, Leonid; Liverani, Carlangelo; Pellegrinotti, Alessandro; Suhov, Yurii 26 1992 Potentials on the two-torus for which the Hamiltonian flow is ergodic. Zbl 0719.58022 Donnay, Victor; Liverani, Carlangelo 26 1991 Energy transfer in a fast-slow Hamiltonian system. Zbl 1235.82065 Dolgopyat, Dmitry; Liverani, Carlangelo 26 2011 Invariant measures and their properties. A functional analytic point of view. Zbl 1066.37013 Liverani, Carlangelo 24 2003 Random walk in Markovian environment. Zbl 1192.60110 Dolgopyat, Dmitry; Keller, Gerhard; Liverani, Carlangelo 23 2008 Exponential decay of correlations for piecewise cone hyperbolic contact flows. Zbl 1386.37030 Baladi, Viviane; Liverani, Carlangelo 23 2012 Multidimensional expanding maps with singularities: a pedestrian approach. Zbl 1268.37026 Liverani, Carlangelo 22 2013 Quenched CLT for random toral automorphism. Zbl 1163.60305 Ayyer, Arvind; Liverani, Carlangelo; Stenlund, Mikko 22 2009 Fredholm determinants, Anosov maps and Ruelle resonances. Zbl 1160.37330 Liverani, Carlangelo 20 2005 Toward the Fourier law for a weakly interacting anharmonic crystal. Zbl 1245.82062 Liverani, Carlangelo; Olla, Stefano 20 2012 Generalization of the Hilbert metric to the space of positive definite matrices. Zbl 0824.53019 Liverani, Carlangelo; Wojtkowski, Maciej P. 17 1994 Limit theorems for fast-slow partially hyperbolic systems. Zbl 1401.37029 De Simoi, Jacopo; Liverani, Carlangelo 17 2018 Statistical properties of mostly contracting fast-slow partially hyperbolic systems. Zbl 1385.37044 De Simoi, Jacopo; Liverani, Carlangelo 16 2016 A spectral gap for a one-dimensional lattice of coupled piecewise expanding interval maps. Zbl 1115.37042 Keller, G.; Liverani, C. 14 2005 Parabolic dynamics and anisotropic Banach spaces. Zbl 1425.37005 Giulietti, Paolo; Liverani, Carlangelo 13 2019 Birth of an elliptic island in a chaotic sea. Zbl 1115.37034 Liverani, C. 13 2004 Mixing for some non-uniformly hyperbolic systems. Zbl 1368.37011 Liverani, Carlangelo; Terhesiu, Dalia 13 2016 Robustly invariant sets in fiber contracting bundle flows. Zbl 1328.37017 Butterley, Oliver; Liverani, Carlangelo 11 2013 Green-Kubo formula for weakly coupled systems with noise. Zbl 1311.82038 Bernardin, Cédric; Huveneers, François; Lebowitz, Joel L.; Liverani, Carlangelo; Olla, Stefano 11 2015 Quantum systems in contact with a thermal environment: Rigorous treatment of a simple model. Zbl 0657.60085 de Smedt, P.; Dürr, D.; Lebowitz, J. L.; Liverani, C. 10 1988 Anosov diffeomorphisms and coupling. Zbl 1067.37030 Bressaud, Xavier; Liverani, Carlangelo 10 2002 Edgeworth expansions for weakly dependent random variables. Zbl 1480.37016 Fernando, Kasun; Liverani, Carlangelo 10 2021 The martingale approach after Varadhan and Dolgopyat. Zbl 1356.37010 De Simoi, Jacopo; Liverani, Carlangelo 9 2015 Map lattices coupled by collisions. Zbl 1188.37044 Keller, Gerhard; Liverani, Carlangelo 9 2009 Non-perturbative approach to random walk in Markovian environment. Zbl 1189.60188 Dolgopyat, Dmitry; Liverani, Carlangelo 8 2009 Convergence to equilibrium for intermittent symplectic maps. Zbl 1094.37034 Liverani, Carlangelo; Martens, Marco 8 2005 Transfer operators in hyperbolic dynamics. An introduction. Paper from the 33rd Brazilian mathematics colloquium – 33°Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, August 2–6, 2021. Zbl 1507.37024 Demers, Mark F.; Kiamari, Niloofar; Liverani, Carlangelo 7 2021 Zeta functions and dynamical systems. Zbl 1190.37025 Liverani, Carlangelo; Tsujii, Masato 6 2006 Fast-slow partially hyperbolic systems versus Freidlin-Wentzell random systems. Zbl 1381.37042 de Simoi, Jacopo; Liverani, Carlangelo; Poquet, Christophe; Volk, Denis 6 2017 Coupled map lattices without cluster expansion. Zbl 1060.37019 Keller, Gerhard; Liverani, Carlangelo 5 2004 Random walk in deterministically changing environment. Zbl 1162.60349 Dolgopyat, Dmitry; Liverani, Carlangelo 5 2008 Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations. Zbl 1505.37037 Bahsoun, Wael; Liverani, Carlangelo 5 2022 Projective cones for sequential dispersing billiards. Zbl 1523.37036 Demers, Mark F.; Liverani, Carlangelo 5 2023 Deterministic walks in random environment. Zbl 1456.60269 Aimino, Romain; Liverani, Carlangelo 5 2020 Random classical fidelity. Zbl 1185.37062 Liverani, C.; Marie, Ph.; Vaienti, S. 4 2007 Reversibility in infinite Hamiltonian systems with conservative noise. Zbl 0893.70011 Fritz, József; Liverani, Carlangelo; Olla, Stefano 4 1997 Interacting particles. Zbl 1026.82021 Liverani, C. 4 2000 Flows, random perturbations and rate of mixing. Zbl 0915.58073 Liverani, Carlangelo 4 1998 Decay of correlations in hyperbolic systems. Zbl 0991.37514 Liverani, Carlangelo 4 1995 Locating Ruelle-Pollicott resonances. Zbl 1491.37028 Butterley, Oliver; Kiamari, Niloofar; Liverani, Carlangelo 4 2022 A footnote on expanding maps. Zbl 1331.37030 Liverani, Carlangelo 3 2013 Ergodic properties for a quantum nonlinear dynamics. Zbl 0983.37008 Fidaleo, Francesco; Liverani, Carlangelo 3 1999 Improved KAM estimates for the Siegel radius. Zbl 0644.70019 Liverani, C.; Turchetti, G. 3 1986 Quantitative statistical properties of two-dimensional partially hyperbolic systems. Zbl 1510.37049 Castorrini, Roberto; Liverani, Carlangelo 3 2022 Globally coupled Anosov diffeomorphisms: statistical properties. Zbl 1530.37044 Bahsoun, Wael; Liverani, Carlangelo; Sélley, Fanni M. 3 2023 Ergodicity in infinite Hamiltonian systems with conservative noise. Zbl 0862.58039 Liverani, Carlangelo; Olla, Stefano 2 1996 Ergodic properties of a model related to disordered quantum anharmonic crystals. Zbl 1021.82012 Fidaleo, Francesco; Liverani, Carlangelo 2 2003 Existence and asymptotic behavior of Padé approximants to the Korteweg-de Vries multisoliton solutions. Zbl 0516.41015 Liverani, C.; Turchetti, G. 1 1983 Statistical properties of disordered quantum systems. Zbl 1069.82009 Fidaleo, Francesco; Liverani, Carlangelo 1 2005 Transport in partially hyperbolic fast-slow systems. Zbl 1453.82039 Liverani, Carlangelo 1 2018 Projective cones for sequential dispersing billiards. Zbl 1523.37036 Demers, Mark F.; Liverani, Carlangelo 5 2023 Globally coupled Anosov diffeomorphisms: statistical properties. Zbl 1530.37044 Bahsoun, Wael; Liverani, Carlangelo; Sélley, Fanni M. 3 2023 Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations. Zbl 1505.37037 Bahsoun, Wael; Liverani, Carlangelo 5 2022 Locating Ruelle-Pollicott resonances. Zbl 1491.37028 Butterley, Oliver; Kiamari, Niloofar; Liverani, Carlangelo 4 2022 Quantitative statistical properties of two-dimensional partially hyperbolic systems. Zbl 1510.37049 Castorrini, Roberto; Liverani, Carlangelo 3 2022 Edgeworth expansions for weakly dependent random variables. Zbl 1480.37016 Fernando, Kasun; Liverani, Carlangelo 10 2021 Transfer operators in hyperbolic dynamics. An introduction. Paper from the 33rd Brazilian mathematics colloquium – 33°Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, August 2–6, 2021. Zbl 1507.37024 Demers, Mark F.; Kiamari, Niloofar; Liverani, Carlangelo 7 2021 Deterministic walks in random environment. Zbl 1456.60269 Aimino, Romain; Liverani, Carlangelo 5 2020 Parabolic dynamics and anisotropic Banach spaces. Zbl 1425.37005 Giulietti, Paolo; Liverani, Carlangelo 13 2019 Exponential decay of correlations for finite horizon Sinai billiard flows. Zbl 1382.37037 Baladi, Viviane; Demers, Mark F.; Liverani, Carlangelo 47 2018 Limit theorems for fast-slow partially hyperbolic systems. Zbl 1401.37029 De Simoi, Jacopo; Liverani, Carlangelo 17 2018 Transport in partially hyperbolic fast-slow systems. Zbl 1453.82039 Liverani, Carlangelo 1 2018 Fast-slow partially hyperbolic systems versus Freidlin-Wentzell random systems. Zbl 1381.37042 de Simoi, Jacopo; Liverani, Carlangelo; Poquet, Christophe; Volk, Denis 6 2017 Statistical properties of mostly contracting fast-slow partially hyperbolic systems. Zbl 1385.37044 De Simoi, Jacopo; Liverani, Carlangelo 16 2016 Mixing for some non-uniformly hyperbolic systems. Zbl 1368.37011 Liverani, Carlangelo; Terhesiu, Dalia 13 2016 Green-Kubo formula for weakly coupled systems with noise. Zbl 1311.82038 Bernardin, Cédric; Huveneers, François; Lebowitz, Joel L.; Liverani, Carlangelo; Olla, Stefano 11 2015 The martingale approach after Varadhan and Dolgopyat. Zbl 1356.37010 De Simoi, Jacopo; Liverani, Carlangelo 9 2015 Anosov flows and dynamical zeta functions. Zbl 1418.37042 Giulietti, Paolo; Liverani, Carlangelo; Pollicott, Mark 65 2013 Multidimensional expanding maps with singularities: a pedestrian approach. Zbl 1268.37026 Liverani, Carlangelo 22 2013 Robustly invariant sets in fiber contracting bundle flows. Zbl 1328.37017 Butterley, Oliver; Liverani, Carlangelo 11 2013 A footnote on expanding maps. Zbl 1331.37030 Liverani, Carlangelo 3 2013 Exponential decay of correlations for piecewise cone hyperbolic contact flows. Zbl 1386.37030 Baladi, Viviane; Liverani, Carlangelo 23 2012 Toward the Fourier law for a weakly interacting anharmonic crystal. Zbl 1245.82062 Liverani, Carlangelo; Olla, Stefano 20 2012 Energy transfer in a fast-slow Hamiltonian system. Zbl 1235.82065 Dolgopyat, Dmitry; Liverani, Carlangelo 26 2011 Rare events, escape rates and quasistationarity: Some Exact formulae. Zbl 1179.37010 Keller, Gerhard; Liverani, Carlangelo 61 2009 Quenched CLT for random toral automorphism. Zbl 1163.60305 Ayyer, Arvind; Liverani, Carlangelo; Stenlund, Mikko 22 2009 Map lattices coupled by collisions. Zbl 1188.37044 Keller, Gerhard; Liverani, Carlangelo 9 2009 Non-perturbative approach to random walk in Markovian environment. Zbl 1189.60188 Dolgopyat, Dmitry; Liverani, Carlangelo 8 2009 Compact locally maximal hyperbolic sets for smooth maps: Fine statistical properties. Zbl 1166.37010 Gouëzel, Sébastien; Liverani, Carlangelo 58 2008 Stability of statistical properties in two-dimensional piecewise hyperbolic maps. Zbl 1153.37019 Demers, Mark F.; Liverani, Carlangelo 54 2008 Random walk in Markovian environment. Zbl 1192.60110 Dolgopyat, Dmitry; Keller, Gerhard; Liverani, Carlangelo 23 2008 Random walk in deterministically changing environment. Zbl 1162.60349 Dolgopyat, Dmitry; Liverani, Carlangelo 5 2008 Smooth Anosov flows: Correlation spectra and stability. Zbl 1144.37011 Butterley, Oliver; Liverani, Carlangelo 89 2007 Random classical fidelity. Zbl 1185.37062 Liverani, C.; Marie, Ph.; Vaienti, S. 4 2007 Banach spaces adapted to Anosov systems. Zbl 1088.37010 Gouëzel, Sébastien; Liverani, Carlangelo 152 2006 Uniqueness of the SRB measure for piecewise expanding weakly coupled map lattices in any dimension. Zbl 1107.37019 Keller, Gerhard; Liverani, Carlangelo 31 2006 Zeta functions and dynamical systems. Zbl 1190.37025 Liverani, Carlangelo; Tsujii, Masato 6 2006 Fredholm determinants, Anosov maps and Ruelle resonances. Zbl 1160.37330 Liverani, Carlangelo 20 2005 A spectral gap for a one-dimensional lattice of coupled piecewise expanding interval maps. Zbl 1115.37042 Keller, G.; Liverani, C. 14 2005 Convergence to equilibrium for intermittent symplectic maps. Zbl 1094.37034 Liverani, Carlangelo; Martens, Marco 8 2005 Statistical properties of disordered quantum systems. Zbl 1069.82009 Fidaleo, Francesco; Liverani, Carlangelo 1 2005 On contact Anosov flows. Zbl 1067.37031 Liverani, Carlangelo 136 2004 Birth of an elliptic island in a chaotic sea. Zbl 1115.37034 Liverani, C. 13 2004 Coupled map lattices without cluster expansion. Zbl 1060.37019 Keller, Gerhard; Liverani, Carlangelo 5 2004 Lasota-Yorke maps with holes: Conditionally invariant probability measures and invariant probability measures on the survivor set. Zbl 1021.37002 Liverani, Carlangelo; Maume-Deschamps, Véronique 36 2003 Invariant measures and their properties. A functional analytic point of view. Zbl 1066.37013 Liverani, Carlangelo 24 2003 Ergodic properties of a model related to disordered quantum anharmonic crystals. Zbl 1021.82012 Fidaleo, Francesco; Liverani, Carlangelo 2 2003 Ruelle-Perron-Frobenius spectrum for Anosov maps. Zbl 1021.37015 Blank, Michael; Keller, Gerhard; Liverani, Carlangelo 107 2002 Anosov diffeomorphisms and coupling. Zbl 1067.37030 Bressaud, Xavier; Liverani, Carlangelo 10 2002 Rigorous numerical investigation of the statistical properties of piecewise expanding maps. A feasibility study. Zbl 0991.37002 Liverani, Carlangelo 35 2001 Interacting particles. Zbl 1026.82021 Liverani, C. 4 2000 A probabilistic approach to intermittency. Zbl 0988.37035 Liverani, Carlangelo; Saussol, Benoît; Vaienti, Sandro 183 1999 Stability of the spectrum for transfer operators. Zbl 0956.37003 Keller, Gerhard; Liverani, Carlangelo 141 1999 Ergodic properties for a quantum nonlinear dynamics. Zbl 0983.37008 Fidaleo, Francesco; Liverani, Carlangelo 3 1999 Conformal measure and decay of correlation for covering weighted systems. Zbl 0915.58061 Liverani, Carlangelo; Saussol, Benoit; Vaienti, Sandro 34 1998 Conformally symplectic dynamics and symmetry of the Lyapunov spectrum. Zbl 0951.37016 Wojtkowski, Maciej P.; Liverani, Carlangelo 28 1998 Flows, random perturbations and rate of mixing. Zbl 0915.58073 Liverani, Carlangelo 4 1998 Reversibility in infinite Hamiltonian systems with conservative noise. Zbl 0893.70011 Fritz, József; Liverani, Carlangelo; Olla, Stefano 4 1997 Central limit theorem for deterministic systems. Zbl 0871.58055 Liverani, Carlangelo 54 1996 Ergodicity in infinite Hamiltonian systems with conservative noise. Zbl 0862.58039 Liverani, Carlangelo; Olla, Stefano 2 1996 Decay of correlations. Zbl 0871.58059 Liverani, Carlangelo 128 1995 Decay of correlations for piecewise expanding maps. Zbl 1080.37501 Liverani, Carlangelo 61 1995 Ergodicity in Hamiltonian systems. Zbl 0824.58033 Liverani, Carlangelo; Wojtkowski, Maciej P. 41 1995 Decay of correlations in hyperbolic systems. Zbl 0991.37514 Liverani, Carlangelo 4 1995 Generalization of the Hilbert metric to the space of positive definite matrices. Zbl 0824.53019 Liverani, Carlangelo; Wojtkowski, Maciej P. 17 1994 Ergodic systems of \(n\) balls in a billiard table. Zbl 0759.58023 Bunimovich, Leonid; Liverani, Carlangelo; Pellegrinotti, Alessandro; Suhov, Yurii 26 1992 Potentials on the two-torus for which the Hamiltonian flow is ergodic. Zbl 0719.58022 Donnay, Victor; Liverani, Carlangelo 26 1991 Quantum systems in contact with a thermal environment: Rigorous treatment of a simple model. Zbl 0657.60085 de Smedt, P.; Dürr, D.; Lebowitz, J. L.; Liverani, C. 10 1988 Improved KAM estimates for the Siegel radius. Zbl 0644.70019 Liverani, C.; Turchetti, G. 3 1986 Existence and asymptotic behavior of Padé approximants to the Korteweg-de Vries multisoliton solutions. Zbl 0516.41015 Liverani, C.; Turchetti, G. 1 1983 all cited Publications top 5 cited Publications all top 5 Cited by 951 Authors 39 Melbourne, Ian 35 Vaienti, Sandro 31 Liverani, Carlangelo 25 Demers, Mark F. 24 Terhesiu, Dalia 23 Galatolo, Stefano 19 Bahsoun, Wael 19 Baladi, Viviane 18 Dolgopyat, Dmitry 16 Froyland, Gary 16 Lucarini, Valerio 15 Dedecker, Jérôme 15 Merlevède, Florence 15 Nicol, Matthew 14 Bruin, Henk 14 Freitas, Jorge Milhazes 14 Gouëzel, Sébastien 14 Hervé, Loïc 14 Pène, Françoise 14 Pollicott, Mark 13 González-Tokman, Cecilia 13 Guillarmou, Colin 13 Persson, Tomas 13 Todd, Mike 13 Tsujii, Masato 13 Young, Lai-Sang 12 Bálint, Péter 12 Bunimovich, Leonid Abramovich 12 Weich, Tobias 11 Butterley, Oliver 11 Varandas, Paulo 10 Chernov, Nikolai Ivanovich 10 Dragičević, Davor 10 Freitas, Ana Cristina Moreira 10 Sélley, Fanni M. 9 Faure, Frédéric 9 Haydn, Nicolai T. A. 9 Keller, Gerhard 9 Nándori, Péter 9 Stenlund, Mikko 9 Tanzi, Matteo 8 Aimino, Romain 8 Bandtlow, Oscar F. 8 Hu, Huyi 8 Korepanov, Alexey 8 Lefeuvre, Thibault 8 Leppänen, Juho 8 Luzzatto, Stefano 8 Ruziboev, Marks 8 Simányi, Nándor J. 8 Szász, Domokos 8 Ye, Yuanling 7 Ding, Jiu 7 Giulietti, Paolo 7 Hafouta, Yeor 7 Lenci, Marco 7 Nisoli, Isaia 7 Pesin, Yakov Borisovich 7 Rivière, Gabriel 7 Rom-Kedar, Vered 7 Sedro, Julien 7 Török, Andrei 7 Turaev, Dmitry V. 7 Zhang, Hongkun 6 Blumenthal, Alex 6 Bonanno, Claudio 6 Bonthonneau, Yannick Guedes 6 Castro, Armando 6 Dyatlov, Semyon 6 Faranda, Davide 6 Fernandez, Bastien 6 Ledoux, James 6 Li, Yao 6 Lim, Yongdo 6 Marmi, Stefano 6 Saussol, Benoît 6 Tóth, Imre Péter 6 Zworski, Maciej 5 Alves, José Ferreira 5 Araújo, Vítor 5 Bernardin, Cédric 5 Bose, Christopher J. 5 Cekić, Mihajlo 5 Celletti, Alessandra 5 Chappell, David J. 5 Chen, Jianyu 5 Crimmins, Harry 5 Cuny, Christophe 5 Dang, Nguyen Viet 5 de la Llave, Rafael 5 Delarue, Benjamin 5 Eslami, Peyman 5 Góra, Paweł 5 Gottwald, Georg A. 5 Huveneers, François 5 Jenkinson, Oliver 5 Jézéquel, Malo 5 Markarian, Roberto 5 Naud, Frédéric 5 Peligrad, Magda ...and 851 more Authors all top 5 Cited in 182 Serials 105 Communications in Mathematical Physics 92 Journal of Statistical Physics 91 Ergodic Theory and Dynamical Systems 67 Nonlinearity 39 Discrete and Continuous Dynamical Systems 26 Stochastics and Dynamics 25 Transactions of the American Mathematical Society 25 Chaos 24 Physica D 22 Advances in Mathematics 21 Israel Journal of Mathematics 21 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 21 Annales Henri Poincaré 20 Stochastic Processes and their Applications 17 Probability Theory and Related Fields 15 The Annals of Probability 14 Dynamical Systems 13 Inventiones Mathematicae 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Journal of Mathematical Analysis and Applications 11 Chaos, Solitons and Fractals 10 Proceedings of the American Mathematical Society 10 Journal of Physics A: Mathematical and Theoretical 9 Journal of Modern Dynamics 9 Annales Henri Lebesgue 8 Journal of Mathematical Physics 8 Journal of Differential Equations 7 Monatshefte für Mathematik 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of the American Mathematical Society 6 Annales de l’Institut Henri Poincaré. Physique Théorique 6 Annals of Mathematics. Second Series 6 Regular and Chaotic Dynamics 6 Journal of the European Mathematical Society (JEMS) 6 Journal of Statistical Mechanics: Theory and Experiment 5 Studia Mathematica 5 Memoirs of the American Mathematical Society 5 Journal of Theoretical Probability 5 Electronic Journal of Probability 5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 Communications on Pure and Applied Mathematics 4 Journal of Geometry and Physics 4 Journal of the London Mathematical Society. Second Series 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Linear Algebra and its Applications 4 Potential Analysis 4 Oberwolfach Reports 4 Journal de l’École Polytechnique – Mathématiques 3 Journal d’Analyse Mathématique 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Physica A 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Applied Probability 3 Mathematische Zeitschrift 3 Systems & Control Letters 3 Indagationes Mathematicae. New Series 3 Journal of Nonlinear Science 3 Bernoulli 3 Doklady Mathematics 3 Geometry & Topology 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Dynamical and Control Systems 3 SIAM Journal on Applied Dynamical Systems 3 Analysis & PDE 3 Journal of Computational Dynamics 3 Bollettino dell’Unione Matematica Italiana 2 Advances in Applied Probability 2 Journal of Computational Physics 2 Letters in Mathematical Physics 2 Reports on Mathematical Physics 2 Annales de l’Institut Fourier 2 Bulletin de la Société Mathématique de France 2 Duke Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Geometry 2 Journal of Functional Analysis 2 Mathematische Annalen 2 SIAM Journal on Numerical Analysis 2 Transactions of the Moscow Mathematical Society 2 Statistics & Probability Letters 2 The Annals of Applied Probability 2 Geometric and Functional Analysis. GAFA 2 Bulletin of the American Mathematical Society. New Series 2 Applied and Computational Harmonic Analysis 2 Mathematical Methods of Statistics 2 Selecta Mathematica. New Series 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Mathematical Physics, Analysis and Geometry 2 Methodology and Computing in Applied Probability 2 Journal of the Institute of Mathematics of Jussieu 2 Proceedings of the Steklov Institute of Mathematics 2 The European Physical Journal B. Condensed Matter and Complex Systems 2 Nonlinear Analysis. Hybrid Systems 2 São Paulo Journal of Mathematical Sciences 2 Forum of Mathematics, Sigma 2 Arnold Mathematical Journal 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Tunisian Journal of Mathematics 2 Pure and Applied Analysis ...and 82 more Serials all top 5 Cited in 52 Fields 851 Dynamical systems and ergodic theory (37-XX) 303 Probability theory and stochastic processes (60-XX) 146 Statistical mechanics, structure of matter (82-XX) 61 Differential geometry (53-XX) 49 Measure and integration (28-XX) 48 Operator theory (47-XX) 45 Mechanics of particles and systems (70-XX) 42 Partial differential equations (35-XX) 41 Quantum theory (81-XX) 39 Global analysis, analysis on manifolds (58-XX) 27 Number theory (11-XX) 23 Numerical analysis (65-XX) 22 Ordinary differential equations (34-XX) 22 Fluid mechanics (76-XX) 20 Statistics (62-XX) 16 Functional analysis (46-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Manifolds and cell complexes (57-XX) 14 Systems theory; control (93-XX) 10 Geophysics (86-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Functions of a complex variable (30-XX) 8 Computer science (68-XX) 6 General and overarching topics; collections (00-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Combinatorics (05-XX) 5 Topological groups, Lie groups (22-XX) 5 Difference and functional equations (39-XX) 5 Integral transforms, operational calculus (44-XX) 5 General topology (54-XX) 4 History and biography (01-XX) 4 Algebraic geometry (14-XX) 4 Geometry (51-XX) 4 Biology and other natural sciences (92-XX) 3 Real functions (26-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Algebraic topology (55-XX) 3 Mechanics of deformable solids (74-XX) 3 Relativity and gravitational theory (83-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Information and communication theory, circuits (94-XX) 2 Group theory and generalizations (20-XX) 2 Potential theory (31-XX) 2 Convex and discrete geometry (52-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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