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of 114
pro vyhledávání: '"Luzzatto, Stefano"'
Autor:
Coates, Douglas, Luzzatto, Stefano
We study a class $\widehat{\mathfrak{F}}$ of one-dimensional full branch maps introduced in [Doubly Intermittent Full Branch Maps with Critical Points and Singularities; D. Coates, S. Luzzatto, M. Mubarak, 2022], admitting two indifferent fixed point
Externí odkaz:
http://arxiv.org/abs/2302.11411
We prove strong statistical stability of a large class of one-dimensional maps which may have an arbitrary finite number of discontinuities and of non-degenerate critical points and/or singular points with infinite derivative, and satisfy some expans
Externí odkaz:
http://arxiv.org/abs/2302.09890
We study a class of one-dimensional full branch maps admitting two indifferent fixed points as well as critical points and/or unbounded derivative. Under some mild assumptions we prove the existence of a unique invariant mixing absolutely continuous
Externí odkaz:
http://arxiv.org/abs/2209.12725
Autor:
Pilarczyk, Paweł, Luzzatto, Stefano
We study the quadratic family of one-dimensional maps $f_a (x) = a - x^2$. We conduct comprehensive numerical analysis of collections of finite orbits of the critical point, computed for intervals of parameter values using rigorous numerical methods.
Externí odkaz:
http://arxiv.org/abs/2104.04024
Publikováno v:
Chaos 30, 073143 (2020)
We develop algorithms and techniques to compute rigorous bounds for finite pieces of orbits of the critical points, for intervals of parameter values, in the quadratic family of one-dimensional maps $f_a (x) = a - x^2$. We illustrate the effectivenes
Externí odkaz:
http://arxiv.org/abs/2004.13444
We give geometric conditions that are necessary and sufficient for the existence of Sinai-Ruelle-Bowen (SRB) measures for $C^{1+\alpha}$ surface diffeomorphisms, thus proving a version of the Viana conjecture. As part of our argument we give an origi
Externí odkaz:
http://arxiv.org/abs/1904.00034
Autor:
Coates, Douglas1 (AUTHOR) dc485@exeter.ac.uk, Luzzatto, Stefano2 (AUTHOR), Muhammad, Mubarak2,3 (AUTHOR)
Publikováno v:
Communications in Mathematical Physics. Sep2023, Vol. 402 Issue 2, p1845-1878. 34p.
Akademický článek
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An important class of `physically relevant' measures for dynamical systems with hyperbolic behavior is given by Sinai-Ruelle-Bowen (SRB) measures. We survey various techniques for constructing SRB measures and studying their properties, paying specia
Externí odkaz:
http://arxiv.org/abs/1607.04685
We give new sufficient conditions for the integrability and unique integrability of continuous tangent sub-bundles on manifolds of arbitrary dimension, generalizing Frobenius' classical Theorem for C^1 sub-bundles. Using these conditions we derive ne
Externí odkaz:
http://arxiv.org/abs/1606.00343