Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Andrei Török"'
Autor:
Viorel Nitica, Andrei Török
Publikováno v:
Axioms, Vol 4, Iss 1, Pp 84-101 (2015)
Currently, there is great renewed interest in proving the topological transitivity of various classes of continuous dynamical systems. Even though this is one of the most basic dynamical properties that can be investigated, the tools used by various
Externí odkaz:
https://doaj.org/article/23f16f0d405d40fbb1035a0af34ca8af
Publikováno v:
PLoS ONE, Vol 5, Iss 10, p e13080 (2010)
BACKGROUND: Difficulties associated with implementing gene therapy are caused by the complexity of the underlying regulatory networks. The forms of interactions between the hundreds of genes, proteins, and metabolites in these networks are not known
Externí odkaz:
https://doaj.org/article/92c8b48d488c4865b68e5ce4b28c1f9e
Autor:
Viorel Nitica, Andrei Török
Publikováno v:
Discrete & Continuous Dynamical Systems - S. 12:2365-2377
If \begin{document}$ S $\end{document} is a semigroup in \begin{document}$ \mathbb{R}^n $\end{document} that is not separated by a linear functional, then it is known that the closure of \begin{document}$ S $\end{document} is a group. We investigate
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff94dcb1fa5c8548d28ac0aa36621dd2
https://doi.org/10.3934/dcdss.2019148
https://doi.org/10.3934/dcdss.2019148
Publikováno v:
Stochastic Processes and their Applications. 126:3145-3170
Suppose ( f , X , ν ) is a measure preserving dynamical system and ϕ : X → R is an observable with some degree of regularity. We investigate the maximum process M n : = max ( X 1 , … , X n ) , where X i = ϕ ∘ f i is a time series of observat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::878147eca10535bd2decc5f266863680
https://doi.org/10.1016/j.spa.2016.04.023
https://doi.org/10.1016/j.spa.2016.04.023
Autor:
Andrei Török, Viorel Nitica
Publikováno v:
Axioms, Vol 4, Iss 1, Pp 84-101 (2015)
Currently, there is great renewed interest in proving the topological transitivity of various classes of continuous dynamical systems. Even though this is one of the most basic dynamical properties that can be investigated, the tools used by various
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbd9e7d1cf4d40dbf1755a6ec40ee327
http://www.mdpi.com/2075-1680/4/1/84
http://www.mdpi.com/2075-1680/4/1/84
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:
Mathematical Research Letters. 20:141-161
We prove a counterpart of exponential decay of correlations for certain non- stationary systems. Namely, given two probability measures absolutely continuous with respect to a reference measure, their quasi-Holder distance (and in particular their L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::544489808fb0cbad384c287ebe146b38
https://doi.org/10.4310/mrl.2013.v20.n1.a12
https://doi.org/10.4310/mrl.2013.v20.n1.a12
Publikováno v:
Transactions of the American Mathematical Society. 364:661-688
We establish extreme value statistics for functions with multiple maxima and some degree of regularity on certain non-uniformly expanding dynamical systems. We also establish extreme value statistics for time-series of observations on discrete and co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea3b904f8551e6bfadfde56c6fb94404
https://doi.org/10.1090/s0002-9947-2011-05271-2
https://doi.org/10.1090/s0002-9947-2011-05271-2
Publikováno v:
Ergodic Theory and Dynamical Systems. 32:223-235
We show that amongCrextensions (r>0) of a uniformly hyperbolic dynamical system with fiber the standard real Heisenberg group ℋnof dimension 2n+1, those that avoid an obvious obstruction to topological transitivity are generically topologically tra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e382ccd68f00d9184b20d544a1d8980
https://doi.org/10.1017/s014338571000091x
https://doi.org/10.1017/s014338571000091x
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 388:4424-4430
Increments in financial markets have anomalous statistical properties including fat-tailed distributions and volatility clustering (i.e., the autocorrelation functions of return increments decay quickly but those of the squared increments decay slowl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38635cd28113b342a26f51d6c7629e7a
https://doi.org/10.1016/j.physa.2009.06.050
https://doi.org/10.1016/j.physa.2009.06.050