Probabilistic Limit Theorems for Dynamical Systems
Théorèmes limites probabilistes pour les systèmes dynamiques
29 October – 2 November 2018
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Scientific Committee
Comité scientifique Viviane Baladi (IMJ-PRG Paris) |
Organizing Committee
Comité d’organisation Ian Melbourne (University of Warwick) |
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The last few years have witnessed an impressive development of the study of stochastic properties of chaotic dynamical systems (billiards in various planar domains, iteration of sequence of transformations, slow fast systems, etc.).
In the same time, probabilistic methods (such as martingale approximation, coupling, etc.) proved to be powerfool tools to establish probabilistic limit theorems. The ambition of this conference is to gather international experts with different areas of expertise with the objective of sharing models, questions and methods, in order to create the conditions for tackling challenging problems in the field of dynamical systems. |
L’étude des propriétés stochastiques des systèmes dynamiques chaotiques a connu un impressionnant développement ces dernières années. Un intérêt grandissant a été apporté aux billards dans différents domaines du plan et à d’autres systèmes non-uniformément hyperboliques, mais aussi aux systèmes partiellement hyperboliques, aux itérations (séquentielles ou aléatoires) de différents systèmes dynamiques, aux systèmes lents-rapides, etc.
Dans le même temps, un certain nombre de méthodes probabilistes (comme les méthodes d’approximation par des martingales, de couplage, etc.) sont apparues comme de puissants outils permettant l’établissement de théorèmes limites probabilistes. L’ambition de cette conférence est de rassembler des experts internationaux avec différents domaines d’expertises dans l’objectif de partager les modèles, les questions et les méthodes afin de créer les conditions propices à la résolution de problèmes ambitieux dans le domaine des systèmes dynamiques. |
Oliver Butterley (ICTP Trieste) Resonances of Nilmanifold Automorphisms, Equidistribution of Nilflows
Guy Cohen (Ben-Gurion University) FCLT for toral automorphisms along the orbits of random walks (pdf)
Christophe Cuny (Université de Brest) Rates in almost sure invariance principle for non uniformly expanding maps (pdf)
Jacopo De Simoi (University of Toronto) Diffusion limit for a slow-fast Standard Map – VIDEO –
Ana Cristina Moreira Freitas (University of Porto) The extremal index and the cluster size (pdf)
Davide Giraudo (RUB Bochum) Limit theorems for random fields 1 – weak (pdf)
Sébastien Gouëzel (Université de Nantes) Growth of normalizing sequences in limit theorem – VIDEO –
Nicolai Haydn (University of Southern California) Local escape rates for φ-mixing systems
Adam Jakubowski (Nicolaus Copernicus University) Stable limits for Markov chains and contractivity properties of transition operators (pdf)
Alexey Korepanov (University of Warwick) Statistical stability on short time scale
Zemer Kosloff (Hebrew University of Jerusalem) A strong law of large numbers for the boundary of the range the simple random walk in two dimensions
Sana Louhichi (Université Grenoble Alpes) Multiplicative ergodicity of Laplace transforms for additive functional of Markov chains with application to age-dependent branching process (pdf)
Péter Nándori (University of Maryland) Mixing and the local central limit theorem for hyperbolic dynamical systems (pdf) – VIDEO –
Emmanuel Rio (Université de Versailles Saint-Quentin-en-Yvelines) On the second Borel-Cantelli lemma for weakly dependent stationnary sequences
Fanni Sélley (Hungarian Academy of Sciences Rényi Institute) Asymptotic behaviour of infinite coupled map systems
Çağrı Sert (ETH Zurich) The joint spectrum and limit theorems for random matrix products
Dalia Terhesiu (University of Exeter) Limit theorems for Almost Anosov flows – VIDEO –
Damien Thomine (Université Paris-Sud) An application of probabilistic potential theory to dynamical system (pdf)
Mike Todd (University of St Andrews) Pressure and limit theorems: the infinite measure case
Hong-Kun Zhang (University of Massachussetts) Levy diffusion of dispersing billiards with at points (pdf) – VIDEO –
Na Zhang (University of Cincinnati) Quenched CLT for stationary random fields under projective criteria (pdf)
Matt Galton (University of Warwick) Iterated weak invariance principle for slowly mixing dynamical systems (pdf)
Davide Giraudo (RUB Bochum) Deviation inequalities for martingales (pdf)
Lucas Reding (Université de Rouen Normandie) 1) On the quenched CLT for stationary random fields (pdf) 2) On the Nadaraya-Watson regression estimator for irregularly spaced data (pdf)
Julien Sedro (Université Paris-Sud) Quenched limit theorems via complex cone contraction (pdf)
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