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pro vyhledávání: '"Kloeckner, Benoît"'
Autor:
Boukhecham, Houssam, Kloeckner, Benoît
It is well-known that the SRB measure of a $C^{1+\alpha}$ Anosov diffeomorphism has exponential decay of correlations with respect to H{\"o}lder-continuous observables. We propose a new approach to this phenomenon, based on optimal transport. More pr
Externí odkaz:
http://arxiv.org/abs/2309.05350
Autor:
Kloeckner, Benoît, Mihalache, Nicolae
In the field of dynamical systems, it is not rare to meet irregular functions, which are typically H{\"o}lder but not Lipschitz (e.g. the Weierstrass functions). Our goal is to scratch the surface of the following question: what happens if we conside
Externí odkaz:
http://arxiv.org/abs/2210.13038
Autor:
Lawrence, Akindé René, Canzi, Alice, Bridlance, Cécile, Olivié, Nicolas, Lansonneur, Claire, Catale, Clarissa, Pizzamiglio, Lara, Kloeckner, Benoit, Silvin, Aymeric, Munro, David A.D., Fortoul, Aurélien, Boido, Davide, Zehani, Feriel, Cartonnet, Hugues, Viguier, Sarah, Oller, Guillaume, Squarzoni, Paola, Candat, Adrien, Helft, Julie, Allet, Cécile, Watrin, Francoise, Manent, Jean-Bernard, Paoletti, Pierre, Thieffry, Denis, Cantini, Laura, Pridans, Clare, Priller, Josef, Gélot, Antoinette, Giacobini, Paolo, Ciobanu, Luisa, Ginhoux, Florent, Thion, Morgane Sonia, Lokmane, Ludmilla, Garel, Sonia
Publikováno v:
In Cell 15 February 2024 187(4):962-980
Autor:
Kloeckner, Benoît
In this note we prove a spectral gap for various Markov chains on various functional spaces. While proving that a spectral gap exists is relatively common, explicit estimates seems somewhat rare.These estimates are then used to apply the concentratio
Externí odkaz:
http://arxiv.org/abs/2102.09215
We define a nonlinear thermodynamical formalism which translates into dynamical system theory the statistical mechanics of generalized mean-field models, extending investigation of the quadratic case by Leplaideur and Watbled. Under suitable conditio
Externí odkaz:
http://arxiv.org/abs/2002.00576
Autor:
Kloeckner, Benoît
We consider synchronous iterative voting, where voters are given the opportunity to strategically choose their ballots depending on the outcome deduced from the previous collective choices.We propose two settings for synchronous iterative voting, one
Externí odkaz:
http://arxiv.org/abs/2001.04216
Autor:
Kloeckner, Benoît
In this article we show how ideas, methods and results from optimal transportation can be used to study various aspects of the stationary measuresof Iterated Function Systems equipped with a probability distribution. We recover a classical existence
Externí odkaz:
http://arxiv.org/abs/1909.01655
Autor:
Kloeckner, Benoit
We consider dynamical systems $T: X \to X$ that are extensions of a factor $S: Y \to Y$ through a projection $\pi: X \to Y$ with shrinking fibers, i.e. such that $T$ is uniformly continuous along fibers $\pi^{-1}(y)$ and the diameter of iterate image
Externí odkaz:
http://arxiv.org/abs/1812.08437
Akademický článek
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Autor:
Kloeckner, Benoît
We propose a "decomposition method" to prove non-asymptotic bound for the convergence of empirical measures in various dual norms. The main point is to show that if one measures convergence in duality with sufficiently regular observables, the conver
Externí odkaz:
http://arxiv.org/abs/1802.04038