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## Collet, Pierre

Compute Distance To:
 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
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#### 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
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#### 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
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#### 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)

#### 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 0458.58002
Collet, Pierre; Eckmann, Jean-Pierre
1980
On the abundance of aperiodic behaviour for maps on the interval. Zbl 0441.58011
Collet, P.; Eckmann, J.-P.
1980
The dimension spectrum of some dynamical systems. Zbl 0683.58023
Collet, P.; Lebowitz, J. L.; Porzio, A.
1987
Instabilities and fronts in extended systems. Zbl 0732.35074
Collet, Pierre; Eckmann, Jean-Pierre
1990
Universal properties of maps on an interval. Zbl 0455.58024
Collet, P.; Eckmann, J.-P.; Lanford, O. E. III
1980
A global attracting set for the Kuramoto-Sivashinsky equation. Zbl 0777.35073
Collet, Pierre; Eckmann, Jean-Pierre; Epstein, Henri; Stubbe, Joachim
1993
Statistics of closest return for some non-uniformly hyperbolic systems. Zbl 1002.37019
Collet, P.
2001
The time dependent amplitude equation for the Swift-Hohenberg problem. Zbl 0756.35096
Collet, P.; Eckmann, J.-P.
1990
Positive Liapunov exponents and absolute continuity for maps of the interval. Zbl 0532.28014
Collet, P.; Eckmann, J.-P.
1983
Properties of continuous maps of the interval to itself. Zbl 0456.58016
Collet, P.; Eckmann, J.-P.
1980
Quasi-stationary distributions and diffusion models in population dynamics. Zbl 1176.92041
Cattiaux, Patrick; Collet, Pierre; Lambert, Amaury; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime
2009
Quasi-stationary distributions. Markov chains, diffusions and dynamical systems. Zbl 1261.60002
Collet, Pierre; Martínez, Servet; San Martín, Jaime
2013
Period doubling bifurcations for families of maps on $$R^ n$$. Zbl 0521.58041
Collet, P.; Eckmann, J.-P.; Koch, H.
1981
Large deviations for multiplicative chaos. Zbl 0755.60022
Collet, P.; Koukiou, F.
1992
Analyticity for the Kuramoto-Sivashinsky equation. Zbl 0785.35093
Collet, P.; Eckmann, J.-P.; Epstein, H.; Stubbe, J.
1993
Poisson approximation for the number of visits to balls in non-uniformly hyperbolic dynamical systems. Zbl 1261.37014
Chazottes, J.-R.; Collet, P.
2013
Ergodic properties of the Lozi mappings. Zbl 0553.58019
Collet, P.; Levy, Y.
1984
Perturbations of geodesic flows on surfaces of constant negative curvature and their mixing properties. Zbl 0585.58022
Collet, P.; Epstein, H.; Gallavotti, G.
1984
Space-time behaviour in problems of hydrodynamic type: A case study. Zbl 0757.35059
Collet, P.; Eckmann, J.-P.
1992
On the abundance of aperiodic behaviour for maps on the unit interval. Zbl 0465.58018
Collet, P.; Eckmann, J.-P.
1980
Statistical consequences of the Devroye inequality for processes. Applications to a class of non-uniformly hyperbolic dynamical systems. Zbl 1084.37008
Chazottes, J.-R.; Collet, P.; Schmitt, B.
2005
Asymptotic laws for one-dimensional diffusions conditioned to nonabsorption. Zbl 0867.60046
Collet, Pierre; Martínez, Servet; San Martín, Jaime
1995
The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems. Zbl 0806.58037
Collet, Pierre; Martínez, Servet; Schmitt, Bernard
1994
A rigorous model study of the adaptive dynamics of Mendelian diploids. Zbl 1300.92075
Collet, Pierre; Méléard, Sylvie; Metz, Johan A. J.
2013
Iterated maps on the interval as dynamical systems. Reprint of the 1980 original. Zbl 1192.37003
Collet, Pierre; Eckmann, Jean-Pierre
2009
Exponential inequalities for dynamical measures of expanding maps of the interval. Zbl 1087.37028
Collet, P.; Martinez, S.; Schmitt, B.
2002
Computing the topological entropy of maps. Zbl 0529.58029
Collet, P.; Crutchfield, J. P.; Eckmann, J.-P.
1983
Concentration inequalities for random fields via coupling. Zbl 1111.60070
Chazottes, J.-R.; Collet, P.; Külske, C.; Redig, F.
2007
Repetition times for Gibbsian sources. Zbl 0945.60017
Collet, Pierre; Galves, Antonio; Schmitt, Bernard
1999
The existence of dendritic fronts. Zbl 0711.35061
Collet, P.; Eckmann, J. P
1986
Concepts and results in chaotic dynamics. A short course. Zbl 1107.37001
Collet, Pierre; Eckmann, Jean-Pierre
2006
Extensive properties of the complex Ginzburg-Landau equation. Zbl 0920.35071
Collet, Pierre; Eckmann, Jean-Pierre
1999
Some ergodic properties of maps of the interval. Zbl 0876.58024
Collet, Pierre
1996
Thermodynamic limit of the Ginzburg-Landau equations. Zbl 0803.35066
Collet, P.
1994
Statistics of close visits to the indifferent fixed point of an interval map. Zbl 1100.37502
Collet, P.; Galves, A.
1993
On universality for area-preserving maps of the plane. Zbl 1194.37050
Collet, P.; Eckmann, J.-P.; Koch, H.
1981
Asymptotic behaviour of a Brownian motion on exterior domains. Zbl 0959.60077
Collet, Pierre; Martínez, Servet; San Martín, Jaime
2000
The definition and measurement of the topological entropy per unit volume in parabolic PDEs. Zbl 0984.37095
Collet, P.; Eckmann, J.-P.
1999
Asymptotic limit law for the close approach of two trajectories in expanding maps of the circle. Zbl 0808.60028
Coelho, Zaqueu; Collet, Pierre
1994
A model of heat conduction. Zbl 1247.80006
Collet, P.; Eckmann, J.-P.
2009
Asymptotic distribution of tests for expanding maps of the interval. Zbl 1058.37027
Collet, P.; Martinez, S.; Schmitt, B.
2004
Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes. Zbl 1335.92073
Chazottes, J.-R.; Collet, P.; Méléard, S.
2016
The Pianigiani-Yorke measure for topological Markov chains. Zbl 0902.58016
Collet, Pierre; Martínez, Servet; Schmitt, Bernard
1997
Global existence and large time asymptotic bounds of $$L^ \infty$$ solutions of thermal diffusive combustion systems on $$\mathbb{R}^ n$$. Zbl 0882.35058
Collet, P.; Xin, J.
1996
Unpredictability of the occurrence time of a long laminar period in a model of temporal intermittency. Zbl 0756.60022
Collet, P.; Galves, A.; Schmitt, B.
1992
The stability of modulated fronts. Zbl 0711.35062
Collet, Pierre; Eckmann, Jean-Pierre
1987
Quasi-stationary distributions for structured birth and death processes with mutations. Zbl 1245.92062
Collet, Pierre; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime
2011
Poisson processes for subsystems of finite type in symbolic dynamics. Zbl 1187.37040
Chazottes, Jean-René; Coelho, Zaqueu; Collet, Pierre
2009
Almost-sure central limit theorems and the Erdős-Rényi law for expanding maps of the interval. Zbl 1076.37023
Chazottes, J.-R.; Collet, P.
2005
Solutions without phase-slip for the Ginsburg-Landau equation. Zbl 0748.35044
Collet, P.; Eckmann, J.-P.
1992
Study of the iterations of a mapping associated to a spin glass model. Zbl 0553.60099
Collet, P.; Eckmann, J.-P.; Glaser, V.; Martin, A.
1984
Stochastic models for a chemostat and long-time behavior. Zbl 1274.60239
Collet, Pierre; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime
2013
Random perturbations of stochastic processes with unbounded variable length memory. Zbl 1206.62160
Collet, Pierre; Galves, Antonio; Leonardi, Florencia
2008
Asymptotic velocity of one dimensional diffusions with periodic drift. Zbl 1145.60324
Collet, P.; Martínez, S.
2008
Devroye inequality for a class of non-uniformly hyperbolic dynamical systems. Zbl 1084.37023
Chazottes, J.-R.; Collet, P.; Schmitt, B.
2005
On the essential spectrum of the transfer operator for expanding Markov maps. Zbl 0754.58032
Collet, Pierre; Isola, Stefano
1991
The existence of dendritic fronts. Zbl 0629.35062
Collet, P.; Eckmann, J.-P.
1986
A concentration inequality for interval maps with an indifferent fixed point. Zbl 1180.37049
Chazottes, J.-R.; Collet, P.; Redig, F.; Verbitskiy, E.
2009
On the existence of conditionally invariant probability measures in dynamical systems. Zbl 0974.37003
Collet, Pierre; Martínez, Servet; Maume-Deschamps, Véronique
2000
Ratio limit theorems for a Brownian motion killed at the boundary of a Benedicks domain. Zbl 0965.60076
Collet, Pierre; Martínez, Servet; San Martín, Jaime
1999
Quasi-stationary distribution and Gibbs measure of expanding systems. Zbl 0897.60097
Collet, Pierre; Martínez, Servet; Schmitt, Bernard
1996
Some limit ratio theorem related to a real endomorphism in case of a neutral fixed point. Zbl 0703.58016
Collet, P.; Ferrero, P.
1990
Renormalization group analysis of some dynamical systems with noise. Zbl 0713.58028
Collet, P.; Lesne, A.
1989
Liapunov multipliers and decay of correlations in dynamical systems. Zbl 1157.37306
Collet, P.; Eckmann, J.-P.
2004
Topological entropy and $$\varepsilon$$-entropy for damped hyperbolic equations. Zbl 0963.37020
Collet, P.; Eckmann, J.-P.
2000
A spin-glass model with random couplings. Zbl 0553.60098
Collet, P.; Eckmann, J.-P.
1984
A note on the power spectrum of the iterates of Feigenbaum’s function. Zbl 0477.39002
Collet, P.; Eckmann, J.-P.; Thomas, L.
1981
On time scales and quasi-stationary distributions for multitype birth-and-death processes. Zbl 1434.60237
Chazottes, J.-R.; Collet, P.; Méléard, S.
2019
The effect of competition and horizontal trait inheritance on invasion, fixation, and polymorphism. Zbl 1349.92117
Billiard, Sylvain; Collet, Pierre; Ferrière, Régis; Méléard, Sylvie; Tran, Viet Chi
2016
Loss of memory of hidden Markov models and Lyapunov exponents. Zbl 1293.62173
Collet, Pierre; Leonardi, Florencia
2014
Superdiffusive heat transport in a class of deterministic one-dimensional many-particle Lorentz gases. Zbl 1180.82149
Collet, Pierre; Eckmann, Jean-Pierre; Mejía-Monasterio, Carlos
2009
Coupling, concentration inequalities, and stochastic dynamics. Zbl 1159.81310
Chazottes, Jean-René; Collet, Pierre; Redig, Frank
2008
Propagation effects on the breakdown of a linear amplifier model: complex-mass Schrödinger equation driven by the square of a Gaussian field. Zbl 1111.35310
Mounaix, Philippe; Collet, Pierre; Lebowitz, Joel L.
2006
Asymptotic of the heat kernel in general Benedicks domains. Zbl 1020.60069
Collet, Pierre; Martínez, Servet; San Martín, Jaime
2003
A rigorous upper bound on the propagation speed for the Swift-Hohenberg and related equations. Zbl 1124.35322
Collet, P.; Eckmann, J.-P.
2002
The number of large graphs with a positive density of triangles. Zbl 1011.05028
Collet, P.; Eckmann, J.-P.
2002
Sampling almost-periodic functions with random probes of finite density. Zbl 0871.60094
Collet, P.
1996
Asymptotic distribution of entrance times for expanding maps of the interval. Zbl 0845.60034
Collet, P.; Galves, A.
1995
Geometric expansion of the boundary free energy of a dilute gas. Zbl 0634.76076
Collet, Pierre; Dunlop, François
1987
On concentration inequalities and their applications for Gibbs measures in lattice systems. Zbl 1382.82008
Chazottes, J.-R.; Collet, P.; Redig, F.
2017
Trees of nuclei and bounds on the number of triangulations of the 3-ball. Zbl 1317.57013
Collet, P.; Eckmann, J.-P.; Younan, M.
2014
Linear amplifier breakdown and concentration properties of a Gaussian field given that its $$L^{2}$$-norm is large. Zbl 1220.82087
Mounaix, Philippe; Collet, Pierre
2011
Nonequilibrium stationary state of a truncated stochastic nonlinear Schrödinger equation: formulation and mean-field approximation. Zbl 1263.82041
Mounaix, Philippe; Collet, Pierre; Lebowitz, Joel L.
2010
Variance and exponential estimates via coupling. Zbl 1114.60025
Collet, Pierre
2006
Product measures and dynamics for solid-on-solid interfaces. Zbl 0939.82035
Collet, Pierre; Dunlop, François; Foster, Damien P.; Gobron, Thierry
1997
Determining nodes for extended dissipative systems. Zbl 0899.35025
Collet, Pierre; Titi, Edriss S.
1996
Multifractal analysis of nearly circular Julia set and thermodynamical formalism. Zbl 0759.58033
Collet, P.; Dobbertin, R.; Moussa, P.
1992
Langevin dynamics of spreading and wetting. Zbl 1050.82516
Abraham, D. B.; Collet, P.; De Coninck, J.; Dunlop, F.
1990
Absolutely continuous invariant measure for expanding Pick maps of the interval except at a marginal fixed point. Zbl 0706.58030
Collet, P.; Ferrero, P.
1989
Hausdorff dimension of the singularities for invariant measures of expanding dynamical systems. Zbl 0666.58026
Collet, P.
1988
How do oscillating fronts form? Zbl 0697.35063
Collet, P.; Eckmann, J.-P.
1986
Local $$C^{\infty}$$ conjugacy on the Julia set for some holomorphic perturbations of $$z\to z^ 2$$. Zbl 0558.30028
Collet, P.
1984
Existence and completeness of the wave operators in scattering theory with momentum-dependent potentials. Zbl 0358.35064
Berthier, A. M.; Collet, P.
1977
Diffusions from infinity. Zbl 1447.60131
Bansaye, Vincent; Collet, Pierre; Martinez, Servet; Méléard, Sylvie; San Martin, Jaime
2019
Wetting transitions for a random line in long-range potential. Zbl 1327.82026
Collet, P.; Dunlop, F.; Huillet, T.
2015
Chains of infinite order, chains with memory of variable length, and maps of the interval. Zbl 1254.82001
Collet, Pierre; Galves, Antonio
2012
Estimates of Kolmogorov complexity in approximating Cantor sets. Zbl 1209.28007
Bonanno, C.; Chazottes, J-R; Collet, P.
2011
Complexity for extended dynamical systems. Zbl 1143.37003
Bonanno, Claudio; Collet, Pierre
2007
Ratio limit theorem for parabolic horn-shaped domains. Zbl 1115.60074
Collet, Pierre; Martinez, Servet; San Martin, Jaime
2006
A short ergodic theory refresher. Zbl 1136.37303
Collet, P.
2005
On time scales and quasi-stationary distributions for multitype birth-and-death processes. Zbl 1434.60237
Chazottes, J.-R.; Collet, P.; Méléard, S.
2019
Diffusions from infinity. Zbl 1447.60131
Bansaye, Vincent; Collet, Pierre; Martinez, Servet; Méléard, Sylvie; San Martin, Jaime
2019
On concentration inequalities and their applications for Gibbs measures in lattice systems. Zbl 1382.82008
Chazottes, J.-R.; Collet, P.; Redig, F.
2017
Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes. Zbl 1335.92073
Chazottes, J.-R.; Collet, P.; Méléard, S.
2016
The effect of competition and horizontal trait inheritance on invasion, fixation, and polymorphism. Zbl 1349.92117
Billiard, Sylvain; Collet, Pierre; Ferrière, Régis; Méléard, Sylvie; Tran, Viet Chi
2016
Wetting transitions for a random line in long-range potential. Zbl 1327.82026
Collet, P.; Dunlop, F.; Huillet, T.
2015
Loss of memory of hidden Markov models and Lyapunov exponents. Zbl 1293.62173
Collet, Pierre; Leonardi, Florencia
2014
Trees of nuclei and bounds on the number of triangulations of the 3-ball. Zbl 1317.57013
Collet, P.; Eckmann, J.-P.; Younan, M.
2014
Quasi-stationary distributions. Markov chains, diffusions and dynamical systems. Zbl 1261.60002
Collet, Pierre; Martínez, Servet; San Martín, Jaime
2013
Poisson approximation for the number of visits to balls in non-uniformly hyperbolic dynamical systems. Zbl 1261.37014
Chazottes, J.-R.; Collet, P.
2013
A rigorous model study of the adaptive dynamics of Mendelian diploids. Zbl 1300.92075
Collet, Pierre; Méléard, Sylvie; Metz, Johan A. J.
2013
Stochastic models for a chemostat and long-time behavior. Zbl 1274.60239
Collet, Pierre; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime
2013
Chains of infinite order, chains with memory of variable length, and maps of the interval. Zbl 1254.82001
Collet, Pierre; Galves, Antonio
2012
Quasi-stationary distributions for structured birth and death processes with mutations. Zbl 1245.92062
Collet, Pierre; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime
2011
Linear amplifier breakdown and concentration properties of a Gaussian field given that its $$L^{2}$$-norm is large. Zbl 1220.82087
Mounaix, Philippe; Collet, Pierre
2011
Estimates of Kolmogorov complexity in approximating Cantor sets. Zbl 1209.28007
Bonanno, C.; Chazottes, J-R; Collet, P.
2011
Nonequilibrium stationary state of a truncated stochastic nonlinear Schrödinger equation: formulation and mean-field approximation. Zbl 1263.82041
Mounaix, Philippe; Collet, Pierre; Lebowitz, Joel L.
2010
Quasi-stationary distributions and diffusion models in population dynamics. Zbl 1176.92041
Cattiaux, Patrick; Collet, Pierre; Lambert, Amaury; Martínez, Servet; Méléard, Sylvie; San Martín, Jaime
2009
Iterated maps on the interval as dynamical systems. Reprint of the 1980 original. Zbl 1192.37003
Collet, Pierre; Eckmann, Jean-Pierre
2009
A model of heat conduction. Zbl 1247.80006
Collet, P.; Eckmann, J.-P.
2009
Poisson processes for subsystems of finite type in symbolic dynamics. Zbl 1187.37040
Chazottes, Jean-René; Coelho, Zaqueu; Collet, Pierre
2009
A concentration inequality for interval maps with an indifferent fixed point. Zbl 1180.37049
Chazottes, J.-R.; Collet, P.; Redig, F.; Verbitskiy, E.
2009
Superdiffusive heat transport in a class of deterministic one-dimensional many-particle Lorentz gases. Zbl 1180.82149
Collet, Pierre; Eckmann, Jean-Pierre; Mejía-Monasterio, Carlos
2009
Random perturbations of stochastic processes with unbounded variable length memory. Zbl 1206.62160
Collet, Pierre; Galves, Antonio; Leonardi, Florencia
2008
Asymptotic velocity of one dimensional diffusions with periodic drift. Zbl 1145.60324
Collet, P.; Martínez, S.
2008
Coupling, concentration inequalities, and stochastic dynamics. Zbl 1159.81310
Chazottes, Jean-René; Collet, Pierre; Redig, Frank
2008
Concentration inequalities for random fields via coupling. Zbl 1111.60070
Chazottes, J.-R.; Collet, P.; Külske, C.; Redig, F.
2007
Complexity for extended dynamical systems. Zbl 1143.37003
Bonanno, Claudio; Collet, Pierre
2007
Concepts and results in chaotic dynamics. A short course. Zbl 1107.37001
Collet, Pierre; Eckmann, Jean-Pierre
2006
Propagation effects on the breakdown of a linear amplifier model: complex-mass Schrödinger equation driven by the square of a Gaussian field. Zbl 1111.35310
Mounaix, Philippe; Collet, Pierre; Lebowitz, Joel L.
2006
Variance and exponential estimates via coupling. Zbl 1114.60025
Collet, Pierre
2006
Ratio limit theorem for parabolic horn-shaped domains. Zbl 1115.60074
Collet, Pierre; Martinez, Servet; San Martin, Jaime
2006
Statistical consequences of the Devroye inequality for processes. Applications to a class of non-uniformly hyperbolic dynamical systems. Zbl 1084.37008
Chazottes, J.-R.; Collet, P.; Schmitt, B.
2005
Almost-sure central limit theorems and the Erdős-Rényi law for expanding maps of the interval. Zbl 1076.37023
Chazottes, J.-R.; Collet, P.
2005
Devroye inequality for a class of non-uniformly hyperbolic dynamical systems. Zbl 1084.37023
Chazottes, J.-R.; Collet, P.; Schmitt, B.
2005
A short ergodic theory refresher. Zbl 1136.37303
Collet, P.
2005
Dynamics of triangulations. Zbl 1090.60061
Collet, P.; Eckmann, J.-P.
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 1078.37002
Collet, P. (ed.); Courbage, M. (ed.); Métens, S. (ed.); Neishtadt, A. (ed.); Zaslavsky, G. (ed.)
2005
Asymptotic distribution of tests for expanding maps of the interval. Zbl 1058.37027
Collet, P.; Martinez, S.; Schmitt, B.
2004
Liapunov multipliers and decay of correlations in dynamical systems. Zbl 1157.37306
Collet, P.; Eckmann, J.-P.
2004
Asymptotic of the heat kernel in general Benedicks domains. Zbl 1020.60069
Collet, Pierre; Martínez, Servet; San Martín, Jaime
2003
Order relations of measures when avoiding decreasing sets. Zbl 1052.60055
Collet, Pierre; López, F. Javier; Martínez, Servet
2003
Exponential inequalities for dynamical measures of expanding maps of the interval. Zbl 1087.37028
Collet, P.; Martinez, S.; Schmitt, B.
2002
A rigorous upper bound on the propagation speed for the Swift-Hohenberg and related equations. Zbl 1124.35322
Collet, P.; Eckmann, J.-P.
2002
The number of large graphs with a positive density of triangles. Zbl 1011.05028
Collet, P.; Eckmann, J.-P.
2002
Extensive quantities for infinite systems. Zbl 1036.37027
Collet, P.
2002
An optimisation method for separating and rebuilding one-dimensional dispersive waves from multi-point measurements. Application to elastic or viscoelastic bars. Zbl 1046.74021
Bussac, Marie-Noëlle; Collet, Pierre; Gary, Gérard; Othman, Ramzi
2002
Statistics of closest return for some non-uniformly hyperbolic systems. Zbl 1002.37019
Collet, P.
2001
Asymptotic behaviour of a Brownian motion on exterior domains. Zbl 0959.60077
Collet, Pierre; Martínez, Servet; San Martín, Jaime
2000
On the existence of conditionally invariant probability measures in dynamical systems. Zbl 0974.37003
Collet, Pierre; Martínez, Servet; Maume-Deschamps, Véronique
2000
Topological entropy and $$\varepsilon$$-entropy for damped hyperbolic equations. Zbl 0963.37020
Collet, P.; Eckmann, J.-P.
2000
Extensive entropies for extended system. Zbl 1196.35130
Collet, P.
2000
Repetition times for Gibbsian sources. Zbl 0945.60017
Collet, Pierre; Galves, Antonio; Schmitt, Bernard
1999
Extensive properties of the complex Ginzburg-Landau equation. Zbl 0920.35071
Collet, Pierre; Eckmann, Jean-Pierre
1999
The definition and measurement of the topological entropy per unit volume in parabolic PDEs. Zbl 0984.37095
Collet, P.; Eckmann, J.-P.
1999
Ratio limit theorems for a Brownian motion killed at the boundary of a Benedicks domain. Zbl 0965.60076
Collet, Pierre; Martínez, Servet; San Martín, Jaime
1999
On the enhancement of diffusion by chaos, escape rates and stochastic instability. Zbl 0919.58038
Collet, Pierre; Martínez, Servet; Schmitt, Bernard
1999
Extended dynamical systems. Zbl 0904.35032
Collet, P.
1998
The Pianigiani-Yorke measure for topological Markov chains. Zbl 0902.58016
Collet, Pierre; Martínez, Servet; Schmitt, Bernard
1997
Product measures and dynamics for solid-on-solid interfaces. Zbl 0939.82035
Collet, Pierre; Dunlop, François; Foster, Damien P.; Gobron, Thierry
1997
Oscillations of observables in 1-dimensional lattice systems. Zbl 0897.70004
Collet, Pierre; Eckmann, Jean-Pierre
1997
Some ergodic properties of maps of the interval. Zbl 0876.58024
Collet, Pierre
1996
Global existence and large time asymptotic bounds of $$L^ \infty$$ solutions of thermal diffusive combustion systems on $$\mathbb{R}^ n$$. Zbl 0882.35058
Collet, P.; Xin, J.
1996
Quasi-stationary distribution and Gibbs measure of expanding systems. Zbl 0897.60097
Collet, Pierre; Martínez, Servet; Schmitt, Bernard
1996
Sampling almost-periodic functions with random probes of finite density. Zbl 0871.60094
Collet, P.
1996
Determining nodes for extended dissipative systems. Zbl 0899.35025
Collet, Pierre; Titi, Edriss S.
1996
Asymptotic laws for one-dimensional diffusions conditioned to nonabsorption. Zbl 0867.60046
Collet, Pierre; Martínez, Servet; San Martín, Jaime
1995
Asymptotic distribution of entrance times for expanding maps of the interval. Zbl 0845.60034
Collet, P.; Galves, A.
1995
Conservative Langevin dynamics of solid-on-solid interfaces. Zbl 1081.82597
Collet, Pierre; Dunlop, François; Gobron, Thierry
1995
Maximum likelihood and minimum entropy identification of grammars. Zbl 0864.68078
Collet, P.; Galves, A.; Lopes, A.
1995
The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems. Zbl 0806.58037
Collet, Pierre; Martínez, Servet; Schmitt, Bernard
1994
Thermodynamic limit of the Ginzburg-Landau equations. Zbl 0803.35066
Collet, P.
1994
Asymptotic limit law for the close approach of two trajectories in expanding maps of the circle. Zbl 0808.60028
Coelho, Zaqueu; Collet, Pierre
1994
Nonlinear parabolic evolutions in unbounded domains. Zbl 0813.35027
Collet, P.
1994
A global attracting set for the Kuramoto-Sivashinsky equation. Zbl 0777.35073
Collet, Pierre; Eckmann, Jean-Pierre; Epstein, Henri; Stubbe, Joachim
1993
Analyticity for the Kuramoto-Sivashinsky equation. Zbl 0785.35093
Collet, P.; Eckmann, J.-P.; Epstein, H.; Stubbe, J.
1993
Statistics of close visits to the indifferent fixed point of an interval map. Zbl 1100.37502
Collet, P.; Galves, A.
1993
Large deviations for multiplicative chaos. Zbl 0755.60022
Collet, P.; Koukiou, F.
1992
Space-time behaviour in problems of hydrodynamic type: A case study. Zbl 0757.35059
Collet, P.; Eckmann, J.-P.
1992
Unpredictability of the occurrence time of a long laminar period in a model of temporal intermittency. Zbl 0756.60022
Collet, P.; Galves, A.; Schmitt, B.
1992
Solutions without phase-slip for the Ginsburg-Landau equation. Zbl 0748.35044
Collet, P.; Eckmann, J.-P.
1992
Multifractal analysis of nearly circular Julia set and thermodynamical formalism. Zbl 0759.58033
Collet, P.; Dobbertin, R.; Moussa, P.
1992
On the essential spectrum of the transfer operator for expanding Markov maps. Zbl 0754.58032
Collet, Pierre; Isola, Stefano
1991
Amplitude analysis of the Swift Hohenberg equation. Zbl 0743.35052
Collet, P.
1991
Instabilities and fronts in extended systems. Zbl 0732.35074
Collet, Pierre; Eckmann, Jean-Pierre
1990
The time dependent amplitude equation for the Swift-Hohenberg problem. Zbl 0756.35096
Collet, P.; Eckmann, J.-P.
1990
Some limit ratio theorem related to a real endomorphism in case of a neutral fixed point. Zbl 0703.58016
Collet, P.; Ferrero, P.
1990
Langevin dynamics of spreading and wetting. Zbl 1050.82516
Abraham, D. B.; Collet, P.; De Coninck, J.; Dunlop, F.
1990
Renormalization group analysis of some dynamical systems with noise. Zbl 0713.58028
Collet, P.; Lesne, A.
1989
Absolutely continuous invariant measure for expanding Pick maps of the interval except at a marginal fixed point. Zbl 0706.58030
Collet, P.; Ferrero, P.
1989
Hausdorff dimension of the singularities for invariant measures of expanding dynamical systems. Zbl 0666.58026
Collet, P.
1988
The dimension spectrum of some dynamical systems. Zbl 0683.58023
Collet, P.; Lebowitz, J. L.; Porzio, A.
1987
The stability of modulated fronts. Zbl 0711.35062
Collet, Pierre; Eckmann, Jean-Pierre
1987
Geometric expansion of the boundary free energy of a dilute gas. Zbl 0634.76076
Collet, Pierre; Dunlop, François
1987
The existence of dendritic fronts. Zbl 0711.35061
Collet, P.; Eckmann, J. P
1986
The existence of dendritic fronts. Zbl 0629.35062
Collet, P.; Eckmann, J.-P.
1986
How do oscillating fronts form? Zbl 0697.35063
Collet, P.; Eckmann, J.-P.
1986
Ergodic properties of the Lozi mappings. Zbl 0553.58019
Collet, P.; Levy, Y.
1984
Perturbations of geodesic flows on surfaces of constant negative curvature and their mixing properties. Zbl 0585.58022
Collet, P.; Epstein, H.; Gallavotti, G.
1984
Study of the iterations of a mapping associated to a spin glass model. Zbl 0553.60099
Collet, P.; Eckmann, J.-P.; Glaser, V.; Martin, A.
1984
...and 14 more Documents
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
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#### 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. A 20 Journal of Mathematical Analysis and Applications 17 Stochastics and Dynamics 16 Israel Journal of Mathematics 16 Journal of Mathematical Physics 16 Discrete and Continuous Dynamical Systems 15 Topology and its Applications 15 Nonlinear Analysis. Theory, Methods & Applications 14 Journal of Nonlinear Science 13 Nonlinearity 12 The Annals of Probability 12 Advances in Applied Mathematics 12 Probability Theory and Related Fields 12 Journal of Dynamics and Differential Equations 11 Advances in Mathematics 10 Inventiones Mathematicae 10 Proceedings of the American Mathematical Society 10 The Annals of Applied Probability 10 Annales de l’Institut Henri Poincaré. Physique Théorique 9 Mathematical Biosciences 9 Physica A 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Dynamical Systems 8 Communications on Pure and Applied Mathematics 8 Journal of Economic Theory 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 Advances in Applied Probability 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Journal of Applied Probability 7 Journal of Functional Analysis 7 Statistics & Probability Letters 7 Bulletin of the American Mathematical Society. New Series 7 Journal of Difference Equations and Applications 7 Discrete and Continuous Dynamical Systems. Series B 7 Comptes Rendus. Mathématique. 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
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#### 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)

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