Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Yeor Hafouta"'
Autor:
Yeor Hafouta
Publikováno v:
Stochastic Processes and their Applications. 161:242-290
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f01fb34fcf0466796274f27213c2799
https://doi.org/10.1016/j.spa.2023.04.008
https://doi.org/10.1016/j.spa.2023.04.008
Autor:
Dmitry Dolgopyat, Yeor Hafouta
Publikováno v:
Probability Theory and Related Fields. 186:439-476
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b8636274154aecb25f031644d3286818
https://doi.org/10.1007/s00440-022-01177-2
https://doi.org/10.1007/s00440-022-01177-2
Autor:
Yeor Hafouta, Davor Dragičević
Publikováno v:
Nonlinearity. 34:6773-6798
We extend the spectral approach of S Gouëzel for the vector-valued almost sure invariance principle (ASIP) to certain classes of non-stationary sequences with a weaker control over the behaviour of the covariance matrices, assuming only linear growt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65a0325c3e8300180a669aa17918d87b
https://doi.org/10.1088/1361-6544/ac14a1
https://doi.org/10.1088/1361-6544/ac14a1
Autor:
Yeor Hafouta
Publikováno v:
Annales Henri Poincaré. 23:293-332
We prove a Berry-Esseen theorem, a local central limit theorem and (local) large and (global) moderate deviations principles for i.i.d. (uniformly) random non-uniformly expanding or hyperbolic maps with exponential first return times. Using existing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25ab983183856301ca6e8eae23cb0113
https://doi.org/10.1007/s00023-021-01094-5
https://doi.org/10.1007/s00023-021-01094-5
Autor:
Yeor Hafouta
Publikováno v:
Bulletin of the London Mathematical Society. 53:991-1008
The classical Eagleson's theorem states that if appropriately normalized Birkhoff sums generated by a measurable function and a probability preserving transformation converge in distribution, then they also converge in distribution with respect to an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::72ddaac4a8e9722f1ee3e9d818f8ec51
https://doi.org/10.1112/blms.12477
https://doi.org/10.1112/blms.12477
Autor:
Yeor Hafouta
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 40:2827-2873
In this paper we will prove a functional central limit theorems for "nonconventional" sums indexed by polynomial arrays.
Comment: 48 pages
Comment: 48 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68da95d8b4563228b9ba856c1350549b
https://doi.org/10.3934/dcds.2020151
https://doi.org/10.3934/dcds.2020151
Autor:
Davor Dragičević, Yeor Hafouta
Publikováno v:
Lecture Notes in Mathematics ISBN: 9783030748623
We prove a quenched almost sure invariance principle for certain classes of random distance expanding dynamical systems which do not necessarily exhibit uniform decay of correlations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1d88b8449e704295f3e8f4ac671ebabc
https://doi.org/10.1007/978-3-030-74863-0_5
https://doi.org/10.1007/978-3-030-74863-0_5
Autor:
Yeor Hafouta
Publikováno v:
Ann. Inst. H. Poincaré Probab. Statist. 56, no. 1 (2020), 428-448
We obtain moderate deviations theorems and exponential (Bernstein type) concentration inequalities for "nonconventional" sums of the form $S_N=\sum_{n=1}^N (F(\xi_{q_1(n)},\xi_{q_2(n)},...,\xi_{q_\ell(n)})-\bar F)$.
Comment: 24 pages; In the thi
Comment: 24 pages; In the thi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::268a75c5aa465abaa5c40d6fe7384311
https://projecteuclid.org/euclid.aihp/1580720495
https://projecteuclid.org/euclid.aihp/1580720495
Autor:
Davor Dragičević, Yeor Hafouta
The purpose of this paper is twofold. In one direction, we extend the spectral method for random piecewise expanding and hyperbolic (Anosov) dynamics developed by the first author \textit{; ; ; ; et al}; ; ; ; . to establish quenched versions of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c313b93a2871526c4e9d51983d831932
https://doi.org/10.1007/s00023-020-00965-7
https://doi.org/10.1007/s00023-020-00965-7
Autor:
Dmitry Dolgopyat, Yeor Hafouta
We obtain asymptotic expansions for local probabilities of partial sums for uniformly bounded independent but not necessarily identically distributed integer-valued random variables. The expansions involve products of polynomials and trigonometric po
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::766881c8d7ac1abc6536733cad686478