Zobrazeno 1 - 10 of 19 pro vyhledávání: '"Yeor Hafouta"'
2
Large deviations, moment estimates and almost sure invariance principles for skew products with mixing base maps and expanding-on-average fibers
Autor: YEOR HAFOUTA
Publikováno v: Ergodic Theory and Dynamical Systems. :1-41
In this paper we show how to apply classical probabilistic tools for partial sums $\sum _{j=0}^{n-1}\varphi \circ \tau ^j$ generated by a skew product $\tau $ , built over a sufficiently well-mixing base map and a random expanding dynamical system. U
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d70b5a9057a490e4f8458b151c67cb33
https://doi.org/10.1017/etds.2023.23
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5
Almost sure invariance principle for random dynamical systems via Gouëzel's approach
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
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6
Limit Theorems for Random Non-uniformly Expanding or Hyperbolic Maps with Exponential Tails
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
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7
On Eagleson's theorem in the non‐stationary setup
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
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8
A functional CLT for nonconventional polynomial arrays
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
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68da95d8b4563228b9ba856c1350549b
https://doi.org/10.3934/dcds.2020151
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9
Almost Sure Invariance Principle for Random Distance Expanding Maps with a Nonuniform Decay of Correlations
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
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10
Nonconventional moderate deviations theorems and exponential concentration inequalities
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
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::268a75c5aa465abaa5c40d6fe7384311
https://projecteuclid.org/euclid.aihp/1580720495
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