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pro vyhledávání: '"Schnellmann, Daniel"'
Autor:
Schnellmann, Daniel
This thesis consists of five articles mainly devoted to problems in dynamical systems and ergodic theory. We consider non-uniformly hyperbolic two dimensional systems and limit distributions of point measures which are absolutely continuous with resp
Externí odkaz:
http://tel.archives-ouvertes.fr/tel-00694201
http://tel.archives-ouvertes.fr/docs/00/69/42/01/PDF/schnellmann_these.pdf
http://tel.archives-ouvertes.fr/docs/00/69/42/01/PDF/schnellmann_these.pdf
Autor:
Schnellmann, Daniel
We show that for almost every map in a transversal one-parameter family of piecewise expanding unimodal maps the Birkhoff sum of suitable observables along the forward orbit of the turning point satisfies the law of iterated logarithm. This result wi
Externí odkaz:
http://arxiv.org/abs/1309.2116
We consider C^2 families t->f_t of C^4 nondegenerate unimodal maps. We study the absolutely continuous invariant probability (SRB) measure m_t of f_t, as a function of t on the set of Collet-Eckmann (CE) parameters: Upper bounds: Assuming existence o
Externí odkaz:
http://arxiv.org/abs/1302.3191
We consider two examples of Viana maps for which the base dynamics has singularities (discontinuities or critical points) and show the existence of a unique absolutely continuous invariant probability measure and related ergodic properties such as st
Externí odkaz:
http://arxiv.org/abs/1109.0849
Autor:
Schnellmann, Daniel
Let $I\subset\mathbb{R}$ be an interval and $T_a:[0,1]\to[0,1]$, $a\in I$, a one-parameter family of piecewise expanding maps such that for each $a\in I$ the map $T_a$ admits a unique absolutely continuous invariant probability measure $\mu_a$. We es
Externí odkaz:
http://arxiv.org/abs/0911.5411
Autor:
ALVES, JOSÉ F., SCHNELLMANN, DANIEL
Publikováno v:
Proceedings of the American Mathematical Society, 2013 Nov 01. 141(11), 3943-3955.
Externí odkaz:
https://www.jstor.org/stable/23562418
Publikováno v:
In Indagationes Mathematicae 2009 20(2):167-177
Autor:
Schnellmann, Daniel1 daniel.schnellmann@gmail.com
Publikováno v:
Probability Theory & Related Fields. Jun2015, Vol. 162 Issue 1/2, p365-409. 45p.
Consider a smooth one-parameter family t -> f_t of dynamical systems f_t, with |t| m_t is differentiable at t=0 (possibly in the sense of Whitney), and if its derivative can be expressed as a function of f_0, m_0, and d_t f_t|_(t=0). The goal of this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa50e1e257dfeee1de5f55e225a1c7f2
https://hal.archives-ouvertes.fr/hal-01055902
https://hal.archives-ouvertes.fr/hal-01055902
Publikováno v:
Inventiones Mathematicae
Inventiones Mathematicae, Springer Verlag, 2014, pp.doi 10.1007/s00222-014-0554-8
Inventiones Mathematicae, Springer Verlag, 2014, pp.doi 10.1007/s00222-014-0554-8
We consider C^2 families t->f_t of C^4 nondegenerate unimodal maps. We study the absolutely continuous invariant probability (SRB) measure m_t of f_t, as a function of t on the set of Collet-Eckmann (CE) parameters: Upper bounds: Assuming existence o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f066b36cd5b325ad58d54faa8a71bf1
https://hal.archives-ouvertes.fr/hal-00788636
https://hal.archives-ouvertes.fr/hal-00788636