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papers

Publications (35)

math.DS2006

Complexity for extended dynamical systems

Claudio Bonanno, Pierre Collet

cs.NE2007

GUIDE: Unifying Evolutionary Engines through a Graphical User Interface

Pierre Collet, Marc Schoenauer

math.PR2009

Quasi-stationary distributions for structured birth and death processes with mutations

Pierre Collet, Servet Martinez, Sylvie Méléard +1

cond-mat.stat-mech1997

Oscillations of Observables in 1-Dimensional Lattice Systems

Pierre Collet, Jean-Pierre Eckmann

math.PR2014

Loss of memory of hidden Markov models and Lyapunov exponents

Pierre Collet, Florencia Leonardi

math.PR2016

Blurred stochastic chains

Pierre Collet, Antonio Galves

math.PR2007

Random perturbations of stochastic chains with unbounded variable length memory

Pierre Collet, Antonio Galves, Florencia G. Leonardi

cs.AI2017

Anomaly detection and motif discovery in symbolic representations of time series

Fabio Guigou, Pierre Collet, Pierre Parrend

math.PR2017

Stochastic dynamics for adaptation and evolution of microorganisms

Sylvain Billiard, Pierre Collet, Régis Ferrière +2

physics.ed-ph2013

The FuturICT Education Accelerator

Jeffrey Johnson, Simon Buckingham Shum, Alistair Willis +17

cs.AI2007

Evolving localizations in reaction-diffusion cellular automata

Andrew Adamatzky, Larry Bull, Pierre Collet +1

nlin.CD2003

Liapunov Multipliers and Decay of Correlations in Dynamical Systems

Pierre Collet, Jean-Pierre Eckmann

math-ph2002

The Number of Large Graphs with a Positive Density of Triangles

Pierre Collet, Jean-Pierre Eckmann

math.PR2011

A rigorous model study of the adaptative dynamics of Mendelian diploids

Pierre Collet, Sylvie Méléard, J. A. J. Metz

math-ph2009

Note on the Transition to Intermittency for the exponential of the Square of a Steinhaus Series

Philippe Mounaix, Pierre Collet

q-bio.PE2015

The effect of competition and horizontal trait inheritance on invasion, fixation and polymorphism

Sylvain Billiard, Pierre Collet, Régis Ferrière +2

math-ph2007

Erratum: Propagation Effects on the Breakdown of a Linear Amplifier Model: Complex-Mass Schrodinger Equation Driven by the Square of a Gaussian Field

Philippe Mounaix, Pierre Collet, Joel L. Lebowitz

math.PR2015

Asymptotics for the heat kernel in multicone domains

Pierre Collet, Mauricio Duarte, Servet Martinez +2

math-ph2004

Dynamics of Triangulations

Pierre Collet, Jean-Pierre Eckmann

nlin.PS2000

Proof of the marginal stability bound for the Swift-Hohenberg equation and related equations

Pierre Collet, Jean-Pierre Eckmann

math.PR2012

Stochastic models for a chemostat and long time behavior

Pierre Collet, Servet Martinez, Sylvie Meleard +1

math.PR2012

Chains of infinite order, chains with memory of variable length, and maps of the interval

Pierre Collet, Antonio Galves

math.PR2009

Quasi-stationary distributions and diffusion models in population dynamics

Patrick Cattiaux, Pierre Collet, Amaury Lambert +3

math.PR2017

Diffusions from Infinity

Vincent Bansaye, Pierre Collet, Servet Martinez +2

math.PR2015

Coupling, concentration inequalities and stochastic dynamics

Jean René Chazottes, Pierre Collet, Frank Redig

math-ph2010

Wave localization does not affect the breakdown of a Schrödinger-type amplifier driven by the square of a Gaussian field

Philippe Mounaix, Pierre Collet

math-ph2012

Trees of nuclei and bounds on the number of triangulations of the 3-ball

Pierre Collet, Jean-Pierre Eckmann, Maher Younan

cs.NE2007

Stochastic Optimization Algorithms

Pierre Collet, Jean-Philippe Rennard

math-ph2010

Nonequilibrium stationary state of a truncated stochastic NLSE: I. Formulation and mean field approximation

Philippe Mounaix, Pierre Collet, Joel L. Lebowitz

math-ph2006

Propagation Effects on the Breakdown of a Linear Amplifier Model: Complex-Mass Schrodinger Equation Driven by the Square of a Gaussian Field

Philippe Mounaix, Pierre Collet, Joel L. Lebowitz

chao-dyn1998

Extensive Properties of the Complex Ginzburg-Landau Equation

Pierre Collet, Jean-Pierre Eckmann

math.DS1999

Topological Entropy and epsilon-Entropy for Damped Hyperbolic Equations

Pierre Collet, Jean-Pierre Eckmann

math-ph2008

A Model of Heat Conduction

Pierre Collet, Jean-Pierre Eckmann

math-ph2011

Linear Amplifier Breakdown and Concentration Properties of a Gaussian Field Given that its $\bm{L^2}$-Norm is Large

Philippe Mounaix, Pierre Collet

math.MG2012

On the Complexity of some Geometrical Objects

Pierre Collet