Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Gouezel, Sebastien"'
Autor:
Azemar, Aitor, Gadre, Vaibhav, Gouëzel, Sébastien, Haettel, Thomas, Lessa, Pablo, Uyanik, Caglar
Publikováno v:
Journal of Modern Dynamics, 2023, 19: 815-832
Consider a closed surface $M$ with negative Euler characteristic, and an admissible probability measure on the fundamental group of $M$ with finite first moment. Corresponding to each point in the Teichm\"uller space of $M$, there is an associated ra
Externí odkaz:
http://arxiv.org/abs/2212.06581
We study the minimal distance between two orbit segments of length n, in a random dynamical system with sufficiently good mixing properties. This problem has already been solved in non-random dynamical system, and on average in random dynamical syste
Externí odkaz:
http://arxiv.org/abs/2209.13240
Autor:
Gouëzel, Sébastien
We report on a formalization of the change of variables formula in integrals, in the mathlib library for Lean. Our version of this theorem is extremely general, and builds on developments in linear algebra, analysis, measure theory and descriptive se
Externí odkaz:
http://arxiv.org/abs/2207.12742
Autor:
Gouëzel, Sébastien
The Gromov-Hausdorff space is usually defined in textbooks as "the space of all compact metric spaces up to isometry". We describe a formalization of this notion in the Lean proof assistant, insisting on how we need to depart from the usual informal
Externí odkaz:
http://arxiv.org/abs/2108.13660
Autor:
Gouëzel, Sébastien
Publikováno v:
Tunisian J. Math. 4 (2022) 635-671
We consider nonelementary random walks on general hyperbolic spaces. Without any moment condition on the walk, we show that it escapes linearly to infinity, with exponential error bounds. We even get such exponential bounds up to the rate of escape o
Externí odkaz:
http://arxiv.org/abs/2102.01408
In the context of geodesic flows of noncompact negatively curved manifolds, we propose three different definitions of entropy and pressure at infinity, through growth of periodic orbits, critical exponents of Poincar\'e series, and entropy (pressure)
Externí odkaz:
http://arxiv.org/abs/2007.08816
Autor:
Gouëzel, Sébastien, Lefeuvre, Thibault
Publikováno v:
Analysis & PDE 14 (2021) 301-322
We complete the microlocal study of the geodesic X-ray transform on Riemannian manifolds with Anosov geodesic flow initiated by Guillarmou and pursued by Guillarmou and the second author. We prove new stability estimates and clarify some properties o
Externí odkaz:
http://arxiv.org/abs/1904.12290
We introduce methods to study the combinatorics of the normal form of large random elements in Artin-Tits monoids. These methods also apply in an axiomatic framework that encompasses other monoids such as dual braid monoids.
Comment: 53 pages, 2
Comment: 53 pages, 2
Externí odkaz:
http://arxiv.org/abs/1902.02286
The range process $R_n$ of a random walk is the collection of sites visited by the random walk up to time $n$. In this work we deal with the question of whether the range process of a random walk or the range process of a cocycle over an ergodic tran
Externí odkaz:
http://arxiv.org/abs/1810.10454
Autor:
Gouëzel, Sébastien, Shchur, Vladimir
There is a gap in the proof of the main theorem in the article [ShCh13a] on optimal bounds for the Morse lemma in Gromov-hyperbolic spaces. We correct this gap, showing that the main theorem of [ShCh13a] is correct. We also describe a computer certif
Externí odkaz:
http://arxiv.org/abs/1810.04579