Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Nicolai Haydn"'
Publikováno v:
Nonlinearity. 33:6760-6789
We consider random dynamical systems on manifolds modelled by a skew product which have certain geometric properties and whose measures satisfy quenched decay of correlations at a sufficient rate. We prove that the limiting distribution for the hitti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7406923d1f050babf0bbbcc2ba0937a3
https://doi.org/10.1088/1361-6544/aba88a
https://doi.org/10.1088/1361-6544/aba88a
Autor:
Nicolai Haydn, Sandro Vaienti
Publikováno v:
Communications in Mathematical Physics. 378:149-184
We describe an approach that allows us to deduce the limiting return times distribution for arbitrary sets to be compound Poisson distributed. We establish a relation between the limiting return times distribution and the probability of the cluster s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d73a8a7d47506e8cdfc52cfa01292f9
https://doi.org/10.1007/s00220-020-03795-0
https://doi.org/10.1007/s00220-020-03795-0
Autor:
Nicolai Haydn, Fan Yang
Publikováno v:
Journal of Statistical Physics. 167:297-316
We show that the entry and return times for dynamic balls (Bowen balls) is exponential for systems that have an $\alpha$-mixing invariant measure with certain regularities. We also show that systems modeled by Young's tower has exponential hitting ti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a6608d9ac553aa95d607e5553c09198
https://doi.org/10.1007/s10955-017-1745-7
https://doi.org/10.1007/s10955-017-1745-7
We prove that for a sequence of nested sets $$\{U_n\}$$ with $$\Lambda = \cap _n U_n$$ a measure zero set, the localized escape rate converges to the extremal index of $$\Lambda $$ , provided that the dynamical system is $$\phi $$ -mixing at polynomi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::afd35ad5793b70d6f6bfd99d6c216d95
Autor:
Nicolai Haydn, Fan Yang
Publikováno v:
Contemporary Mathematics. :141-160
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7ce85c666cabed876c3e781256fbd6cb
https://doi.org/10.1090/conm/698/14031
https://doi.org/10.1090/conm/698/14031
Autor:
Nicolai Haydn, Fan Yang
Publikováno v:
Journal of Statistical Physics. 163:374-392
We consider the return times dynamics to Bowen balls for continuous maps on metric spaces which have invariant probability measures with certain mixing properties. These mixing properties are satisfied for instance by systems that allow Young tower c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68741ae5f52e569ede8173485639370f
https://doi.org/10.1007/s10955-016-1487-y
https://doi.org/10.1007/s10955-016-1487-y
Autor:
Nicolai Haydn, Fan Yang
We show that dynamical systems with $\phi$-mixing measures have local escape rates which are exponential with rate $1$ at non-periodic points and equal to the extremal index at periodic points. We apply this result to equilibrium states on subshifts
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::101574576b26828a2ce52ae97f145963
http://arxiv.org/abs/1806.07148
http://arxiv.org/abs/1806.07148
Autor:
Nicolai Haydn
Publikováno v:
Journal of Statistical Physics. 159:231-254
The theorem of Shannon–McMillan–Breiman states that for every generating partition on an ergodic system of finite entropy the exponential decay rate of the measure of cylinder sets equals the metric entropy almost everywhere. In addition the meas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f0db9e24d9b76c5457e2e1b12bfe588b
https://doi.org/10.1007/s10955-014-1185-6
https://doi.org/10.1007/s10955-014-1185-6
Publikováno v:
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, 2017, 369 (8), pp. 5293-5316 ⟨10.1090/tran/6812⟩
Transactions of the American Mathematical Society, American Mathematical Society, 2017, 369 (8), pp. 5293-5316 ⟨10.1090/tran/6812⟩
Transactions of the American Mathematical Society, 2017, 369 (8), pp. 5293-5316 ⟨10.1090/tran/6812⟩
Transactions of the American Mathematical Society, American Mathematical Society, 2017, 369 (8), pp. 5293-5316 ⟨10.1090/tran/6812⟩
We establish almost sure invariance principles, a strong form of approximation by Brownian motion, for non-stationary time-series arising as observations on dynamical systems. Our examples include observations on sequential expanding maps, perturbed
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::007ecb9bc82e952d9ab2d7bdb8ef9412
https://hal.science/hal-01127754/document
https://hal.science/hal-01127754/document
Publikováno v:
Nonlinearity. 27:1669-1687
We show that for planar dispersing billiards the distribution of return times is, in the limit, Poisson for metric balls almost everywhere w.r.t. the SRB (Sinai–Ruelle–Bowen) measure. Since the Poincare return map is piecewise smooth but becomes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::98cedbc906215744d588e35dee95184f
https://doi.org/10.1088/0951-7715/27/7/1669
https://doi.org/10.1088/0951-7715/27/7/1669