Edit Profile Collet, Pierre Compute Distance To: Compute Author ID: collet.pierre Published as: Collet, P.; Collet, Pierre Homepage: https://www.cpht.polytechnique.fr/?q=en/node/84 External Links: MGP · Wikidata · GND Documents Indexed: 149 Publications since 1976, including 6 Books all top 5 Co-Authors 27 single-authored 38 Eckmann, Jean-Pierre 21 Martinez Aguilera, Servet 13 Chazottes, Jean-René 11 San Martín, Jaime 10 Méléard, Sylvie 10 Schmitt, Bernard 9 Galves, Antonio 6 Dunlop, François 6 Mounaix, Philippe 5 Bussac, Marie-Noëlle 5 Gary, Gérard 5 Othman, Ramzi 5 Redig, Frank 4 Berthier, Anne-Marie 4 Lebowitz, Joel Louis 3 Epstein, Henri 3 Gobron, Thierry 2 Billiard, Sylvain 2 Blanc, Robert H. 2 Bonanno, Claudio 2 Coelho, Zaqueu 2 Duarte, Denise 2 Ferriere, Regis 2 Lanford, Oscar E. III 2 Leonardi, Florencia 2 Martínez, Salomé 2 Stubbe, Joachim 2 Tran, Viet Chi 1 Abraham, Douglas B. 1 Bansaye, Vincent 1 Cassandro, Marzio 1 Cattiaux, Patrick 1 Courbage, Maurice 1 Crutchfield, James P. 1 De Coninck, Joël 1 Dobbertin, Rolf 1 Duarte, Mauricio A. 1 Ferrero, Pier Luigi 1 Ferrero, Pietro 1 Foster, Damien P. 1 Fritz, Jason S. 1 Gallavotti, Giovanni M. 1 García, Jesús Enrique 1 Giardinà, Cristian 1 Glaser, Vladimir Jurko 1 Huillet, Thierry E. 1 Isola, Stefano 1 Javier López, F. 1 Koch, Harvey S. 1 Koch, Helga 1 Koukiou, Flora 1 Külske, Christof 1 Lambert, Amaury 1 Lesne, Annick 1 Levy, Yaakov 1 Lopes, Aretusa 1 Martin, André 1 Maume-Deschamps, Véronique 1 Mejía-Monasterio, Carlos 1 Métens, Stéphane 1 Metz, Johan A. Jacob 1 Moussa, Pierre 1 Neishtadt, Anatoly I. 1 Porzio, Anna 1 Prat-Waldron, Arturo 1 Thomas, Launey J. III 1 Titi, Edriss Saleh 1 Verbitski, Evgeny 1 Xin, Jiping 1 Younan, M. 1 Zaslavskiĭ, Georgiĭ Moiseevich all top 5 Serials 22 Communications in Mathematical Physics 17 Journal of Statistical Physics 12 Nonlinearity 7 Ergodic Theory and Dynamical Systems 7 Probability Theory and Related Fields 3 The Annals of Probability 3 Transactions of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Mathematical Biology 2 Journal of Functional Analysis 2 Physica D 2 The Annals of Applied Probability 2 Markov Processes and Related Fields 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Advances in Applied Probability 1 Helvetica Physica Acta 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Journal of the Mechanics and Physics of Solids 1 Physica A 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Statistics & Probability Letters 1 European Journal of Mechanics. B. Fluids 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Random & Computational Dynamics 1 Mathematical Physics Electronic Journal 1 Electronic Journal of Probability 1 Documenta Mathematica 1 Annales Henri Poincaré 1 Physical Review Letters 1 Comptes Rendus de l’Académie des Sciences. Série IIb. Mécanique 1 Physical Review E. Third Series 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Mathématiques et Sciences Humaines. Mathematics and Social Sciences 1 NATO Science Series II: Mathematics, Physics and Chemistry 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Theoretical Biology 1 Journal de l’École Polytechnique – Mathématiques 1 Modern Birkhäuser Classics 1 Probability and its Applications 1 Theoretical and Mathematical Physics (Cham) 1 Progress in Physics 1 Princeton Series in Physics all top 5 Fields 70 Dynamical systems and ergodic theory (37-XX) 54 Probability theory and stochastic processes (60-XX) 40 Partial differential equations (35-XX) 25 Statistical mechanics, structure of matter (82-XX) 14 Biology and other natural sciences (92-XX) 11 Measure and integration (28-XX) 8 Fluid mechanics (76-XX) 7 Operator theory (47-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Statistics (62-XX) 5 Computer science (68-XX) 5 Mechanics of deformable solids (74-XX) 5 Quantum theory (81-XX) 4 General topology (54-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 114 Publications have been cited 1,916 times in 1,451 Documents Cited by ▼ Year ▼ Iterated maps on the interval as dynamical systems. Zbl 0458.58002Collet, Pierre; Eckmann, Jean-Pierre 446 1980 On the abundance of aperiodic behaviour for maps on the interval. Zbl 0441.58011Collet, P.; Eckmann, J.-P. 148 1980 The dimension spectrum of some dynamical systems. Zbl 0683.58023Collet, P.; Lebowitz, J. L.; Porzio, A. 73 1987 Instabilities and fronts in extended systems. Zbl 0732.35074Collet, Pierre; Eckmann, Jean-Pierre 68 1990 Universal properties of maps on an interval. Zbl 0455.58024Collet, P.; Eckmann, J.-P.; Lanford, O. E. III 65 1980 A global attracting set for the Kuramoto-Sivashinsky equation. Zbl 0777.35073Collet, Pierre; Eckmann, Jean-Pierre; Epstein, Henri; Stubbe, Joachim 60 1993 Statistics of closest return for some non-uniformly hyperbolic systems. Zbl 1002.37019Collet, P. 53 2001 The time dependent amplitude equation for the Swift-Hohenberg problem. Zbl 0756.35096Collet, P.; Eckmann, J.-P. 50 1990 Positive Liapunov exponents and absolute continuity for maps of the interval. Zbl 0532.28014Collet, P.; Eckmann, J.-P. 50 1983 Properties of continuous maps of the interval to itself. Zbl 0456.58016Collet, P.; Eckmann, J.-P. 50 1980 Quasi-stationary distributions and diffusion models in population dynamics. Zbl 1176.92041Cattiaux, Patrick; Collet, Pierre; Lambert, Amaury; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 49 2009 Quasi-stationary distributions. Markov chains, diffusions and dynamical systems. Zbl 1261.60002Collet, Pierre; Martínez, Servet; San Martín, Jaime 47 2013 Period doubling bifurcations for families of maps on \(R^ n\). Zbl 0521.58041Collet, P.; Eckmann, J.-P.; Koch, H. 32 1981 Large deviations for multiplicative chaos. Zbl 0755.60022Collet, P.; Koukiou, F. 29 1992 Analyticity for the Kuramoto-Sivashinsky equation. Zbl 0785.35093Collet, P.; Eckmann, J.-P.; Epstein, H.; Stubbe, J. 28 1993 Poisson approximation for the number of visits to balls in non-uniformly hyperbolic dynamical systems. Zbl 1261.37014Chazottes, J.-R.; Collet, P. 26 2013 Ergodic properties of the Lozi mappings. Zbl 0553.58019Collet, P.; Levy, Y. 26 1984 Perturbations of geodesic flows on surfaces of constant negative curvature and their mixing properties. Zbl 0585.58022Collet, P.; Epstein, H.; Gallavotti, G. 22 1984 Space-time behaviour in problems of hydrodynamic type: A case study. Zbl 0757.35059Collet, P.; Eckmann, J.-P. 21 1992 On the abundance of aperiodic behaviour for maps on the unit interval. Zbl 0465.58018Collet, P.; Eckmann, J.-P. 19 1980 Statistical consequences of the Devroye inequality for processes. Applications to a class of non-uniformly hyperbolic dynamical systems. Zbl 1084.37008Chazottes, J.-R.; Collet, P.; Schmitt, B. 18 2005 Asymptotic laws for one-dimensional diffusions conditioned to nonabsorption. Zbl 0867.60046Collet, Pierre; Martínez, Servet; San Martín, Jaime 18 1995 The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems. Zbl 0806.58037Collet, Pierre; Martínez, Servet; Schmitt, Bernard 18 1994 A rigorous model study of the adaptive dynamics of Mendelian diploids. Zbl 1300.92075Collet, Pierre; Méléard, Sylvie; Metz, Johan A. J. 17 2013 Iterated maps on the interval as dynamical systems. Reprint of the 1980 original. Zbl 1192.37003Collet, Pierre; Eckmann, Jean-Pierre 17 2009 Exponential inequalities for dynamical measures of expanding maps of the interval. Zbl 1087.37028Collet, P.; Martinez, S.; Schmitt, B. 17 2002 Computing the topological entropy of maps. Zbl 0529.58029Collet, P.; Crutchfield, J. P.; Eckmann, J.-P. 17 1983 Concentration inequalities for random fields via coupling. Zbl 1111.60070Chazottes, J.-R.; Collet, P.; Külske, C.; Redig, F. 16 2007 Repetition times for Gibbsian sources. Zbl 0945.60017Collet, Pierre; Galves, Antonio; Schmitt, Bernard 16 1999 The existence of dendritic fronts. Zbl 0711.35061Collet, P.; Eckmann, J. P 16 1986 Concepts and results in chaotic dynamics. A short course. Zbl 1107.37001Collet, Pierre; Eckmann, Jean-Pierre 15 2006 Extensive properties of the complex Ginzburg-Landau equation. Zbl 0920.35071Collet, Pierre; Eckmann, Jean-Pierre 15 1999 Some ergodic properties of maps of the interval. Zbl 0876.58024Collet, Pierre 14 1996 Thermodynamic limit of the Ginzburg-Landau equations. Zbl 0803.35066Collet, P. 14 1994 Statistics of close visits to the indifferent fixed point of an interval map. Zbl 1100.37502Collet, P.; Galves, A. 14 1993 On universality for area-preserving maps of the plane. Zbl 1194.37050Collet, P.; Eckmann, J.-P.; Koch, H. 14 1981 Asymptotic behaviour of a Brownian motion on exterior domains. Zbl 0959.60077Collet, Pierre; Martínez, Servet; San Martín, Jaime 12 2000 The definition and measurement of the topological entropy per unit volume in parabolic PDEs. Zbl 0984.37095Collet, P.; Eckmann, J.-P. 12 1999 Asymptotic limit law for the close approach of two trajectories in expanding maps of the circle. Zbl 0808.60028Coelho, Zaqueu; Collet, Pierre 12 1994 A model of heat conduction. Zbl 1247.80006Collet, P.; Eckmann, J.-P. 11 2009 Asymptotic distribution of tests for expanding maps of the interval. Zbl 1058.37027Collet, P.; Martinez, S.; Schmitt, B. 9 2004 Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes. Zbl 1335.92073Chazottes, J.-R.; Collet, P.; Méléard, S. 8 2016 The Pianigiani-Yorke measure for topological Markov chains. Zbl 0902.58016Collet, Pierre; Martínez, Servet; Schmitt, Bernard 8 1997 Global existence and large time asymptotic bounds of \(L^ \infty\) solutions of thermal diffusive combustion systems on \(\mathbb{R}^ n\). Zbl 0882.35058Collet, P.; Xin, J. 8 1996 Unpredictability of the occurrence time of a long laminar period in a model of temporal intermittency. Zbl 0756.60022Collet, P.; Galves, A.; Schmitt, B. 8 1992 The stability of modulated fronts. Zbl 0711.35062Collet, Pierre; Eckmann, Jean-Pierre 8 1987 Quasi-stationary distributions for structured birth and death processes with mutations. Zbl 1245.92062Collet, Pierre; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 7 2011 Poisson processes for subsystems of finite type in symbolic dynamics. Zbl 1187.37040Chazottes, Jean-René; Coelho, Zaqueu; Collet, Pierre 7 2009 Almost-sure central limit theorems and the Erdős-Rényi law for expanding maps of the interval. Zbl 1076.37023Chazottes, J.-R.; Collet, P. 7 2005 Solutions without phase-slip for the Ginsburg-Landau equation. Zbl 0748.35044Collet, P.; Eckmann, J.-P. 7 1992 Study of the iterations of a mapping associated to a spin glass model. Zbl 0553.60099Collet, P.; Eckmann, J.-P.; Glaser, V.; Martin, A. 7 1984 Stochastic models for a chemostat and long-time behavior. Zbl 1274.60239Collet, Pierre; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 6 2013 Random perturbations of stochastic processes with unbounded variable length memory. Zbl 1206.62160Collet, Pierre; Galves, Antonio; Leonardi, Florencia 6 2008 Asymptotic velocity of one dimensional diffusions with periodic drift. Zbl 1145.60324Collet, P.; Martínez, S. 6 2008 Devroye inequality for a class of non-uniformly hyperbolic dynamical systems. Zbl 1084.37023Chazottes, J.-R.; Collet, P.; Schmitt, B. 6 2005 On the essential spectrum of the transfer operator for expanding Markov maps. Zbl 0754.58032Collet, Pierre; Isola, Stefano 6 1991 The existence of dendritic fronts. Zbl 0629.35062Collet, P.; Eckmann, J.-P. 6 1986 A concentration inequality for interval maps with an indifferent fixed point. Zbl 1180.37049Chazottes, J.-R.; Collet, P.; Redig, F.; Verbitskiy, E. 5 2009 On the existence of conditionally invariant probability measures in dynamical systems. Zbl 0974.37003Collet, Pierre; Martínez, Servet; Maume-Deschamps, Véronique 5 2000 Ratio limit theorems for a Brownian motion killed at the boundary of a Benedicks domain. Zbl 0965.60076Collet, Pierre; Martínez, Servet; San Martín, Jaime 5 1999 Quasi-stationary distribution and Gibbs measure of expanding systems. Zbl 0897.60097Collet, Pierre; Martínez, Servet; Schmitt, Bernard 5 1996 Some limit ratio theorem related to a real endomorphism in case of a neutral fixed point. Zbl 0703.58016Collet, P.; Ferrero, P. 5 1990 Renormalization group analysis of some dynamical systems with noise. Zbl 0713.58028Collet, P.; Lesne, A. 5 1989 Liapunov multipliers and decay of correlations in dynamical systems. Zbl 1157.37306Collet, P.; Eckmann, J.-P. 4 2004 Topological entropy and \(\varepsilon\)-entropy for damped hyperbolic equations. Zbl 0963.37020Collet, P.; Eckmann, J.-P. 4 2000 A spin-glass model with random couplings. Zbl 0553.60098Collet, P.; Eckmann, J.-P. 4 1984 A note on the power spectrum of the iterates of Feigenbaum’s function. Zbl 0477.39002Collet, P.; Eckmann, J.-P.; Thomas, L. 4 1981 On time scales and quasi-stationary distributions for multitype birth-and-death processes. Zbl 1434.60237Chazottes, J.-R.; Collet, P.; Méléard, S. 3 2019 The effect of competition and horizontal trait inheritance on invasion, fixation, and polymorphism. Zbl 1349.92117Billiard, Sylvain; Collet, Pierre; Ferrière, Régis; Méléard, Sylvie; Tran, Viet Chi 3 2016 Loss of memory of hidden Markov models and Lyapunov exponents. Zbl 1293.62173Collet, Pierre; Leonardi, Florencia 3 2014 Superdiffusive heat transport in a class of deterministic one-dimensional many-particle Lorentz gases. Zbl 1180.82149Collet, Pierre; Eckmann, Jean-Pierre; Mejía-Monasterio, Carlos 3 2009 Coupling, concentration inequalities, and stochastic dynamics. Zbl 1159.81310Chazottes, Jean-René; Collet, Pierre; Redig, Frank 3 2008 Propagation effects on the breakdown of a linear amplifier model: complex-mass Schrödinger equation driven by the square of a Gaussian field. Zbl 1111.35310Mounaix, Philippe; Collet, Pierre; Lebowitz, Joel L. 3 2006 Asymptotic of the heat kernel in general Benedicks domains. Zbl 1020.60069Collet, Pierre; Martínez, Servet; San Martín, Jaime 3 2003 A rigorous upper bound on the propagation speed for the Swift-Hohenberg and related equations. Zbl 1124.35322Collet, P.; Eckmann, J.-P. 3 2002 The number of large graphs with a positive density of triangles. Zbl 1011.05028Collet, P.; Eckmann, J.-P. 3 2002 Sampling almost-periodic functions with random probes of finite density. Zbl 0871.60094Collet, P. 3 1996 Asymptotic distribution of entrance times for expanding maps of the interval. Zbl 0845.60034Collet, P.; Galves, A. 3 1995 Geometric expansion of the boundary free energy of a dilute gas. Zbl 0634.76076Collet, Pierre; Dunlop, François 3 1987 On concentration inequalities and their applications for Gibbs measures in lattice systems. Zbl 1382.82008Chazottes, J.-R.; Collet, P.; Redig, F. 2 2017 Trees of nuclei and bounds on the number of triangulations of the 3-ball. Zbl 1317.57013Collet, P.; Eckmann, J.-P.; Younan, M. 2 2014 Linear amplifier breakdown and concentration properties of a Gaussian field given that its \(L^{2}\)-norm is large. Zbl 1220.82087Mounaix, Philippe; Collet, Pierre 2 2011 Nonequilibrium stationary state of a truncated stochastic nonlinear Schrödinger equation: formulation and mean-field approximation. Zbl 1263.82041Mounaix, Philippe; Collet, Pierre; Lebowitz, Joel L. 2 2010 Variance and exponential estimates via coupling. Zbl 1114.60025Collet, Pierre 2 2006 Product measures and dynamics for solid-on-solid interfaces. Zbl 0939.82035Collet, Pierre; Dunlop, François; Foster, Damien P.; Gobron, Thierry 2 1997 Determining nodes for extended dissipative systems. Zbl 0899.35025Collet, Pierre; Titi, Edriss S. 2 1996 Multifractal analysis of nearly circular Julia set and thermodynamical formalism. Zbl 0759.58033Collet, P.; Dobbertin, R.; Moussa, P. 2 1992 Langevin dynamics of spreading and wetting. Zbl 1050.82516Abraham, D. B.; Collet, P.; De Coninck, J.; Dunlop, F. 2 1990 Absolutely continuous invariant measure for expanding Pick maps of the interval except at a marginal fixed point. Zbl 0706.58030Collet, P.; Ferrero, P. 2 1989 Hausdorff dimension of the singularities for invariant measures of expanding dynamical systems. Zbl 0666.58026Collet, P. 2 1988 How do oscillating fronts form? Zbl 0697.35063Collet, P.; Eckmann, J.-P. 2 1986 Local \(C^{\infty}\) conjugacy on the Julia set for some holomorphic perturbations of \(z\to z^ 2\). Zbl 0558.30028Collet, P. 2 1984 Existence and completeness of the wave operators in scattering theory with momentum-dependent potentials. Zbl 0358.35064Berthier, A. M.; Collet, P. 2 1977 Diffusions from infinity. Zbl 1447.60131Bansaye, Vincent; Collet, Pierre; Martinez, Servet; Méléard, Sylvie; San Martin, Jaime 1 2019 Wetting transitions for a random line in long-range potential. Zbl 1327.82026Collet, P.; Dunlop, F.; Huillet, T. 1 2015 Chains of infinite order, chains with memory of variable length, and maps of the interval. Zbl 1254.82001Collet, Pierre; Galves, Antonio 1 2012 Estimates of Kolmogorov complexity in approximating Cantor sets. Zbl 1209.28007Bonanno, C.; Chazottes, J-R; Collet, P. 1 2011 Complexity for extended dynamical systems. Zbl 1143.37003Bonanno, Claudio; Collet, Pierre 1 2007 Ratio limit theorem for parabolic horn-shaped domains. Zbl 1115.60074Collet, Pierre; Martinez, Servet; San Martin, Jaime 1 2006 A short ergodic theory refresher. Zbl 1136.37303Collet, P. 1 2005 On time scales and quasi-stationary distributions for multitype birth-and-death processes. Zbl 1434.60237Chazottes, J.-R.; Collet, P.; Méléard, S. 3 2019 Diffusions from infinity. Zbl 1447.60131Bansaye, Vincent; Collet, Pierre; Martinez, Servet; Méléard, Sylvie; San Martin, Jaime 1 2019 On concentration inequalities and their applications for Gibbs measures in lattice systems. Zbl 1382.82008Chazottes, J.-R.; Collet, P.; Redig, F. 2 2017 Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes. Zbl 1335.92073Chazottes, J.-R.; Collet, P.; Méléard, S. 8 2016 The effect of competition and horizontal trait inheritance on invasion, fixation, and polymorphism. Zbl 1349.92117Billiard, Sylvain; Collet, Pierre; Ferrière, Régis; Méléard, Sylvie; Tran, Viet Chi 3 2016 Wetting transitions for a random line in long-range potential. Zbl 1327.82026Collet, P.; Dunlop, F.; Huillet, T. 1 2015 Loss of memory of hidden Markov models and Lyapunov exponents. Zbl 1293.62173Collet, Pierre; Leonardi, Florencia 3 2014 Trees of nuclei and bounds on the number of triangulations of the 3-ball. Zbl 1317.57013Collet, P.; Eckmann, J.-P.; Younan, M. 2 2014 Quasi-stationary distributions. Markov chains, diffusions and dynamical systems. Zbl 1261.60002Collet, Pierre; Martínez, Servet; San Martín, Jaime 47 2013 Poisson approximation for the number of visits to balls in non-uniformly hyperbolic dynamical systems. Zbl 1261.37014Chazottes, J.-R.; Collet, P. 26 2013 A rigorous model study of the adaptive dynamics of Mendelian diploids. Zbl 1300.92075Collet, Pierre; Méléard, Sylvie; Metz, Johan A. J. 17 2013 Stochastic models for a chemostat and long-time behavior. Zbl 1274.60239Collet, Pierre; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 6 2013 Chains of infinite order, chains with memory of variable length, and maps of the interval. Zbl 1254.82001Collet, Pierre; Galves, Antonio 1 2012 Quasi-stationary distributions for structured birth and death processes with mutations. Zbl 1245.92062Collet, Pierre; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 7 2011 Linear amplifier breakdown and concentration properties of a Gaussian field given that its \(L^{2}\)-norm is large. Zbl 1220.82087Mounaix, Philippe; Collet, Pierre 2 2011 Estimates of Kolmogorov complexity in approximating Cantor sets. Zbl 1209.28007Bonanno, C.; Chazottes, J-R; Collet, P. 1 2011 Nonequilibrium stationary state of a truncated stochastic nonlinear Schrödinger equation: formulation and mean-field approximation. Zbl 1263.82041Mounaix, Philippe; Collet, Pierre; Lebowitz, Joel L. 2 2010 Quasi-stationary distributions and diffusion models in population dynamics. Zbl 1176.92041Cattiaux, Patrick; Collet, Pierre; Lambert, Amaury; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime 49 2009 Iterated maps on the interval as dynamical systems. Reprint of the 1980 original. Zbl 1192.37003Collet, Pierre; Eckmann, Jean-Pierre 17 2009 A model of heat conduction. Zbl 1247.80006Collet, P.; Eckmann, J.-P. 11 2009 Poisson processes for subsystems of finite type in symbolic dynamics. Zbl 1187.37040Chazottes, Jean-René; Coelho, Zaqueu; Collet, Pierre 7 2009 A concentration inequality for interval maps with an indifferent fixed point. Zbl 1180.37049Chazottes, J.-R.; Collet, P.; Redig, F.; Verbitskiy, E. 5 2009 Superdiffusive heat transport in a class of deterministic one-dimensional many-particle Lorentz gases. Zbl 1180.82149Collet, Pierre; Eckmann, Jean-Pierre; Mejía-Monasterio, Carlos 3 2009 Random perturbations of stochastic processes with unbounded variable length memory. Zbl 1206.62160Collet, Pierre; Galves, Antonio; Leonardi, Florencia 6 2008 Asymptotic velocity of one dimensional diffusions with periodic drift. Zbl 1145.60324Collet, P.; Martínez, S. 6 2008 Coupling, concentration inequalities, and stochastic dynamics. Zbl 1159.81310Chazottes, Jean-René; Collet, Pierre; Redig, Frank 3 2008 Concentration inequalities for random fields via coupling. Zbl 1111.60070Chazottes, J.-R.; Collet, P.; Külske, C.; Redig, F. 16 2007 Complexity for extended dynamical systems. Zbl 1143.37003Bonanno, Claudio; Collet, Pierre 1 2007 Concepts and results in chaotic dynamics. A short course. Zbl 1107.37001Collet, Pierre; Eckmann, Jean-Pierre 15 2006 Propagation effects on the breakdown of a linear amplifier model: complex-mass Schrödinger equation driven by the square of a Gaussian field. Zbl 1111.35310Mounaix, Philippe; Collet, Pierre; Lebowitz, Joel L. 3 2006 Variance and exponential estimates via coupling. Zbl 1114.60025Collet, Pierre 2 2006 Ratio limit theorem for parabolic horn-shaped domains. Zbl 1115.60074Collet, Pierre; Martinez, Servet; San Martin, Jaime 1 2006 Statistical consequences of the Devroye inequality for processes. Applications to a class of non-uniformly hyperbolic dynamical systems. Zbl 1084.37008Chazottes, J.-R.; Collet, P.; Schmitt, B. 18 2005 Almost-sure central limit theorems and the Erdős-Rényi law for expanding maps of the interval. Zbl 1076.37023Chazottes, J.-R.; Collet, P. 7 2005 Devroye inequality for a class of non-uniformly hyperbolic dynamical systems. Zbl 1084.37023Chazottes, J.-R.; Collet, P.; Schmitt, B. 6 2005 A short ergodic theory refresher. Zbl 1136.37303Collet, P. 1 2005 Dynamics of triangulations. Zbl 1090.60061Collet, P.; Eckmann, J.-P. 1 2005 Chaotic dynamics and transport in classical and quantum systems. Proceedings of the NATO Advanced Study Institute and international summer school, Cargèse, Corsica, France, 18–30 August, 2003. Zbl 1078.37002Collet, P. (ed.); Courbage, M. (ed.); Métens, S. (ed.); Neishtadt, A. (ed.); Zaslavsky, G. (ed.) 1 2005 Asymptotic distribution of tests for expanding maps of the interval. Zbl 1058.37027Collet, P.; Martinez, S.; Schmitt, B. 9 2004 Liapunov multipliers and decay of correlations in dynamical systems. Zbl 1157.37306Collet, P.; Eckmann, J.-P. 4 2004 Asymptotic of the heat kernel in general Benedicks domains. Zbl 1020.60069Collet, Pierre; Martínez, Servet; San Martín, Jaime 3 2003 Order relations of measures when avoiding decreasing sets. Zbl 1052.60055Collet, Pierre; López, F. Javier; Martínez, Servet 1 2003 Exponential inequalities for dynamical measures of expanding maps of the interval. Zbl 1087.37028Collet, P.; Martinez, S.; Schmitt, B. 17 2002 A rigorous upper bound on the propagation speed for the Swift-Hohenberg and related equations. Zbl 1124.35322Collet, P.; Eckmann, J.-P. 3 2002 The number of large graphs with a positive density of triangles. Zbl 1011.05028Collet, P.; Eckmann, J.-P. 3 2002 Extensive quantities for infinite systems. Zbl 1036.37027Collet, P. 1 2002 An optimisation method for separating and rebuilding one-dimensional dispersive waves from multi-point measurements. Application to elastic or viscoelastic bars. Zbl 1046.74021Bussac, Marie-Noëlle; Collet, Pierre; Gary, Gérard; Othman, Ramzi 1 2002 Statistics of closest return for some non-uniformly hyperbolic systems. Zbl 1002.37019Collet, P. 53 2001 Asymptotic behaviour of a Brownian motion on exterior domains. Zbl 0959.60077Collet, Pierre; Martínez, Servet; San Martín, Jaime 12 2000 On the existence of conditionally invariant probability measures in dynamical systems. Zbl 0974.37003Collet, Pierre; Martínez, Servet; Maume-Deschamps, Véronique 5 2000 Topological entropy and \(\varepsilon\)-entropy for damped hyperbolic equations. Zbl 0963.37020Collet, P.; Eckmann, J.-P. 4 2000 Extensive entropies for extended system. Zbl 1196.35130Collet, P. 1 2000 Repetition times for Gibbsian sources. Zbl 0945.60017Collet, Pierre; Galves, Antonio; Schmitt, Bernard 16 1999 Extensive properties of the complex Ginzburg-Landau equation. Zbl 0920.35071Collet, Pierre; Eckmann, Jean-Pierre 15 1999 The definition and measurement of the topological entropy per unit volume in parabolic PDEs. Zbl 0984.37095Collet, P.; Eckmann, J.-P. 12 1999 Ratio limit theorems for a Brownian motion killed at the boundary of a Benedicks domain. Zbl 0965.60076Collet, Pierre; Martínez, Servet; San Martín, Jaime 5 1999 On the enhancement of diffusion by chaos, escape rates and stochastic instability. Zbl 0919.58038Collet, Pierre; Martínez, Servet; Schmitt, Bernard 1 1999 Extended dynamical systems. Zbl 0904.35032Collet, P. 1 1998 The Pianigiani-Yorke measure for topological Markov chains. Zbl 0902.58016Collet, Pierre; Martínez, Servet; Schmitt, Bernard 8 1997 Product measures and dynamics for solid-on-solid interfaces. Zbl 0939.82035Collet, Pierre; Dunlop, François; Foster, Damien P.; Gobron, Thierry 2 1997 Oscillations of observables in 1-dimensional lattice systems. Zbl 0897.70004Collet, Pierre; Eckmann, Jean-Pierre 1 1997 Some ergodic properties of maps of the interval. Zbl 0876.58024Collet, Pierre 14 1996 Global existence and large time asymptotic bounds of \(L^ \infty\) solutions of thermal diffusive combustion systems on \(\mathbb{R}^ n\). Zbl 0882.35058Collet, P.; Xin, J. 8 1996 Quasi-stationary distribution and Gibbs measure of expanding systems. Zbl 0897.60097Collet, Pierre; Martínez, Servet; Schmitt, Bernard 5 1996 Sampling almost-periodic functions with random probes of finite density. Zbl 0871.60094Collet, P. 3 1996 Determining nodes for extended dissipative systems. Zbl 0899.35025Collet, Pierre; Titi, Edriss S. 2 1996 Asymptotic laws for one-dimensional diffusions conditioned to nonabsorption. Zbl 0867.60046Collet, Pierre; Martínez, Servet; San Martín, Jaime 18 1995 Asymptotic distribution of entrance times for expanding maps of the interval. Zbl 0845.60034Collet, P.; Galves, A. 3 1995 Conservative Langevin dynamics of solid-on-solid interfaces. Zbl 1081.82597Collet, Pierre; Dunlop, François; Gobron, Thierry 1 1995 Maximum likelihood and minimum entropy identification of grammars. Zbl 0864.68078Collet, P.; Galves, A.; Lopes, A. 1 1995 The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems. Zbl 0806.58037Collet, Pierre; Martínez, Servet; Schmitt, Bernard 18 1994 Thermodynamic limit of the Ginzburg-Landau equations. Zbl 0803.35066Collet, P. 14 1994 Asymptotic limit law for the close approach of two trajectories in expanding maps of the circle. Zbl 0808.60028Coelho, Zaqueu; Collet, Pierre 12 1994 Nonlinear parabolic evolutions in unbounded domains. Zbl 0813.35027Collet, P. 1 1994 A global attracting set for the Kuramoto-Sivashinsky equation. Zbl 0777.35073Collet, Pierre; Eckmann, Jean-Pierre; Epstein, Henri; Stubbe, Joachim 60 1993 Analyticity for the Kuramoto-Sivashinsky equation. Zbl 0785.35093Collet, P.; Eckmann, J.-P.; Epstein, H.; Stubbe, J. 28 1993 Statistics of close visits to the indifferent fixed point of an interval map. Zbl 1100.37502Collet, P.; Galves, A. 14 1993 Large deviations for multiplicative chaos. Zbl 0755.60022Collet, P.; Koukiou, F. 29 1992 Space-time behaviour in problems of hydrodynamic type: A case study. Zbl 0757.35059Collet, P.; Eckmann, J.-P. 21 1992 Unpredictability of the occurrence time of a long laminar period in a model of temporal intermittency. Zbl 0756.60022Collet, P.; Galves, A.; Schmitt, B. 8 1992 Solutions without phase-slip for the Ginsburg-Landau equation. Zbl 0748.35044Collet, P.; Eckmann, J.-P. 7 1992 Multifractal analysis of nearly circular Julia set and thermodynamical formalism. Zbl 0759.58033Collet, P.; Dobbertin, R.; Moussa, P. 2 1992 On the essential spectrum of the transfer operator for expanding Markov maps. Zbl 0754.58032Collet, Pierre; Isola, Stefano 6 1991 Amplitude analysis of the Swift Hohenberg equation. Zbl 0743.35052Collet, P. 1 1991 Instabilities and fronts in extended systems. Zbl 0732.35074Collet, Pierre; Eckmann, Jean-Pierre 68 1990 The time dependent amplitude equation for the Swift-Hohenberg problem. Zbl 0756.35096Collet, P.; Eckmann, J.-P. 50 1990 Some limit ratio theorem related to a real endomorphism in case of a neutral fixed point. Zbl 0703.58016Collet, P.; Ferrero, P. 5 1990 Langevin dynamics of spreading and wetting. Zbl 1050.82516Abraham, D. B.; Collet, P.; De Coninck, J.; Dunlop, F. 2 1990 Renormalization group analysis of some dynamical systems with noise. Zbl 0713.58028Collet, P.; Lesne, A. 5 1989 Absolutely continuous invariant measure for expanding Pick maps of the interval except at a marginal fixed point. Zbl 0706.58030Collet, P.; Ferrero, P. 2 1989 Hausdorff dimension of the singularities for invariant measures of expanding dynamical systems. Zbl 0666.58026Collet, P. 2 1988 The dimension spectrum of some dynamical systems. Zbl 0683.58023Collet, P.; Lebowitz, J. L.; Porzio, A. 73 1987 The stability of modulated fronts. Zbl 0711.35062Collet, Pierre; Eckmann, Jean-Pierre 8 1987 Geometric expansion of the boundary free energy of a dilute gas. Zbl 0634.76076Collet, Pierre; Dunlop, François 3 1987 The existence of dendritic fronts. Zbl 0711.35061Collet, P.; Eckmann, J. P 16 1986 The existence of dendritic fronts. Zbl 0629.35062Collet, P.; Eckmann, J.-P. 6 1986 How do oscillating fronts form? Zbl 0697.35063Collet, P.; Eckmann, J.-P. 2 1986 Ergodic properties of the Lozi mappings. Zbl 0553.58019Collet, P.; Levy, Y. 26 1984 Perturbations of geodesic flows on surfaces of constant negative curvature and their mixing properties. Zbl 0585.58022Collet, P.; Epstein, H.; Gallavotti, G. 22 1984 Study of the iterations of a mapping associated to a spin glass model. Zbl 0553.60099Collet, P.; Eckmann, J.-P.; Glaser, V.; Martin, A. 7 1984 ...and 14 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,743 Authors 48 Collet, Pierre 26 Vaienti, Sandro 24 Eckmann, Jean-Pierre 20 Schneider, Guido 17 Freitas, Jorge Milhazes 16 Chazottes, Jean-René 16 Haydn, Nicolai T. A. 13 Freitas, Ana Cristina Moreira 13 Martinez Aguilera, Servet 13 Méléard, Sylvie 13 Young, Lai-Sang 12 Arneodo, Alain 12 Tresser, Charles 12 van Strien, Sebastian J. 11 Blömker, Dirk 11 Misiurewicz, Michał 11 Przytycki, Feliks 11 Todd, Mike 10 Barral, Julien 10 Chen, Lansun 10 San Martín, Jaime 9 Baladi, Viviane 9 Mielke, Alexander 9 Nicol, Matthew 9 Titi, Edriss Saleh 8 Barnsley, Michael Fielding 8 Bruin, Henk 8 Cao, Kefei 8 de la Llave, Rafael 8 Demers, Mark F. 8 Faranda, Davide 8 Gardini, Laura 8 Kukavica, Igor 8 Saussol, Benoît 8 Yorke, James Alan 7 Brucks, Karen M. 7 Dedecker, Jérôme 7 Melbourne, Ian 7 Nusse, Helena Engelina 7 Pollicott, Mark 7 Prieur, Clémentine 7 Redig, Frank 7 Rousseau, Jérôme 7 Scheel, Arnd 6 Bacry, Emmanuel 6 Benedicks, Michael 6 Bovier, Anton 6 Champagnat, Nicolas 6 Durieu, Olivier 6 Holland, Mark P. 6 Ivanov, Anatoli F. 6 Lanford, Oscar E. III 6 Lucarini, Valerio 6 Muzy, Jean-François 6 Nowicki, Tomasz 6 Peng, Shouli 6 Smadi, Charline 6 Villemonais, Denis 6 Zelik, Sergey V. 5 Barreira, Luis Manuel 5 Block, Louis Stuart 5 Cattiaux, Patrick 5 Cloez, Bertrand 5 Cosnard, Michel Y. 5 Fernandez, Bastien 5 Gao, Shujing 5 Haken, Hermann 5 Hening, Alexandru 5 Hössjer, Ola G. 5 Keller, Gerhard 5 Lyubich, Mikhail Yur’evich 5 Mounaix, Philippe 5 Pène, Françoise 5 Porzio, Anna 5 Robinson, James Cooper 5 Roquejoffre, Jean-Michel 5 Schmitt, Bernard 5 Simpelaere, Dominique 5 Smyrlis, Yiorgos-Sokratis 5 Turchetti, Giorgio 5 Wayne, C. Eugene 5 Yang, Fan 5 Zhou, Zhong 4 Alvin, Lori 4 Baldwin, Stewart L. 4 Billiard, Sylvain 4 Blokh, Alexander M. 4 Bunimovich, Leonid Abramovich 4 Byers, William 4 Capel, Hans W. 4 Chernov, Nikolai Ivanovich 4 Doelman, Arjen 4 Duan, Jinqiao 4 Düll, Wolf-Patrick 4 Epstein, Henri 4 Gaidashev, Denis G. 4 Gallay, Thierry 4 Gallo, Sandro 4 Gao, Hongjun 4 Geronimo, Jeffrey S. ...and 1,643 more Authors all top 5 Cited in 271 Serials 131 Journal of Statistical Physics 115 Physica D 97 Communications in Mathematical Physics 59 Chaos, Solitons and Fractals 57 Ergodic Theory and Dynamical Systems 33 Transactions of the American Mathematical Society 30 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 28 Journal of Mathematical Biology 28 Chaos 26 Journal of Differential Equations 26 Stochastic Processes and their Applications 21 Physics Letters. 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Académie des Sciences, Paris 6 Archive for Rational Mechanics and Analysis 6 Mathematical Methods in the Applied Sciences 6 Applied Mathematics Letters 6 Communications in Partial Differential Equations 6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 5 International Journal of Theoretical Physics 5 Applied Mathematics and Computation 5 Monatshefte für Mathematik 5 Stochastic Analysis and Applications 5 Electronic Journal of Probability 5 Nonlinear Dynamics 5 Communications in Nonlinear Science and Numerical Simulation 5 Proceedings of the Steklov Institute of Mathematics 4 Computers & Mathematics with Applications 4 Journal of Fluid Mechanics 4 Letters in Mathematical Physics 4 Physics Reports 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Bulletin of Mathematical Biology 4 Publications Mathématiques 4 Journal of Computational and Applied Mathematics 4 Theoretical Population Biology 4 Journal of Theoretical Probability 4 Indagationes Mathematicae. New Series 4 Electronic Communications in Probability 4 Bernoulli 4 SIAM Journal on Applied Dynamical Systems 4 Science China. Mathematics 3 Bulletin of the Australian Mathematical Society 3 Journal of Computational Physics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Annales de l’Institut Fourier 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Duke Mathematical Journal 3 Journal of Mathematical Economics 3 Mathematics and Computers in Simulation 3 Applied Mathematics and Mechanics. (English Edition) 3 Constructive Approximation 3 Journal of Economic Dynamics & Control 3 Linear Algebra and its Applications 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Acta Mathematica Sinica. New Series 3 Boletim da Sociedade Brasileira de Matemática. Nova Série 3 Potential Analysis 3 Physics of Fluids 3 Economic Theory 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Acta Mathematica Sinica. English Series 3 Annales Henri Poincaré 3 Nonlinear Analysis. Real World Applications 3 Advances in Complex Systems 3 Journal of Dynamical Systems and Geometric Theories 2 Journal d’Analyse Mathématique ...and 171 more Serials all top 5 Cited in 52 Fields 876 Dynamical systems and ergodic theory (37-XX) 343 Probability theory and stochastic processes (60-XX) 248 Partial differential equations (35-XX) 131 Biology and other natural sciences (92-XX) 112 Statistical mechanics, structure of matter (82-XX) 108 Measure and integration (28-XX) 84 Ordinary differential equations (34-XX) 68 Fluid mechanics (76-XX) 62 General topology (54-XX) 57 Difference and functional equations (39-XX) 52 Numerical analysis (65-XX) 49 Real functions (26-XX) 44 Statistics (62-XX) 42 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 35 Operator theory (47-XX) 34 Global analysis, analysis on manifolds (58-XX) 29 Computer science (68-XX) 28 Systems theory; control (93-XX) 22 Mechanics of particles and systems (70-XX) 20 Functions of a complex variable (30-XX) 19 Combinatorics (05-XX) 19 Quantum theory (81-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 Classical thermodynamics, heat transfer (80-XX) 14 Number theory (11-XX) 14 Information and communication theory, circuits (94-XX) 11 Approximations and expansions (41-XX) 10 Geophysics (86-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Differential geometry (53-XX) 8 Mechanics of deformable solids (74-XX) 8 Operations research, mathematical programming (90-XX) 7 Functional analysis (46-XX) 7 Manifolds and cell complexes (57-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Topological groups, Lie groups (22-XX) 5 Potential theory (31-XX) 4 General and overarching topics; collections (00-XX) 4 Abstract harmonic analysis (43-XX) 3 Mathematical logic and foundations (03-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Convex and discrete geometry (52-XX) 3 Optics, electromagnetic theory (78-XX) 3 Relativity and gravitational theory (83-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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