Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Dalia Terhesiu"'
Publikováno v:
Probability Theory and Related Fields. 186:159-219
We prove limit laws for infinite horizon planar periodic Lorentz gases when, as time n tends to infinity, the scatterer size $$\rho $$ ρ may also tend to zero simultaneously at a sufficiently slow pace. In particular we obtain a non-standard Central
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::152e01194a9a77530d3a386b737a33f3
https://doi.org/10.1007/s00440-023-01197-6
https://doi.org/10.1007/s00440-023-01197-6
Autor:
Dalia Terhesiu
Publikováno v:
Monatshefte für Mathematik. 198:859-893
We obtain Krickeberg mixing for a class of $${{\mathbb {Z}}}$$ Z -extensions of Gibbs Markov semiflows with roof function and displacement function not in $$L^2$$ L 2 , where previous methods fail. This is done via a ‘smooth tail’ estimate for th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d4e29820954739f9b9654508613aa460
https://doi.org/10.1007/s00605-022-01693-2
https://doi.org/10.1007/s00605-022-01693-2
Autor:
Péter Kevei, Dalia Terhesiu
Publikováno v:
Journal of Theoretical Probability. 33:2027-2060
Regular variation is an essential condition for the existence of a Darling–Kac law. We weaken this condition assuming that the renewal distribution belongs to the domain of geometric partial attraction of a semistable law. In the simple setting of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e731cfbf32ebfecafa8889b3436e63d3
https://doi.org/10.1007/s10959-019-00930-z
https://doi.org/10.1007/s10959-019-00930-z
Autor:
Françoise Pène, Dalia Terhesiu
Publikováno v:
Communications in Mathematical Physics
Communications in Mathematical Physics, Springer Verlag, 2021, 382 (3), pp.1625-1689. ⟨10.1007/s00220-021-03984-5⟩
Communications in Mathematical Physics, Springer Verlag, 2021, 382 (3), pp.1625-1689. ⟨10.1007/s00220-021-03984-5⟩
We obtain sharp error rates in the local limit theorem for the Sinai billiard map (one and two dimensional) with infinite horizon. This result allows us to further obtain higher order terms and thus, sharp mixing rates in the speed of mixing of dynam
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ba767f203f3f0635ee0e2e5fbeedba5
https://hal.archives-ouvertes.fr/hal-03452874
https://hal.archives-ouvertes.fr/hal-03452874
We obtain limit theorems (Stable Laws and Central Limit Theorems, both Gaussian and non-Gaussian) and thermodynamic properties for a class of non-uniformly hyperbolic flows: almost Anosov flows, constructed here. The proofs of the limit theorems for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::abc19bfb5872bcd27e1d093c5cc71aa7
https://hdl.handle.net/10023/21735
https://hdl.handle.net/10023/21735
We show that there is a natural restriction on the smoothness of spaces where the transfer operator for a continuous dynamical system has a spectral gap. Such a space cannot be embedded in a Hölder space with Hölder exponent greater than 1/2 unless
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::961d55b6f6a66e5fc07739d4ad83c1d6
We establish exponential decay in H\"older norm of transfer operators applied to smooth observables of uniformly and nonuniformly expanding semiflows with exponential decay of correlations.
Comment: After refereeing, the first version has been s
Comment: After refereeing, the first version has been s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68188c0647832d08f650489aad2c7875
Autor:
Ian Melbourne, Dalia Terhesiu
Publikováno v:
Ann. Inst. H. Poincaré Probab. Statist. 56, no. 1 (2020), 449-476
We obtain results on mixing for a large class of (not necessarily Markov) infinite measure semiflows and flows. Erickson proved, amongst other things, a strong renewal theorem in the corresponding i.i.d. setting. Using operator renewal theory, we ext
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a377400f7ce59877a857c6832d066986
https://doi.org/10.1214/19-aihp968
https://doi.org/10.1214/19-aihp968
Autor:
Dalia Terhesiu, Péter Kevei
We obtain a strong renewal theorem with infinite mean beyond regular variation, when the underlying distribution belongs to the domain of geometric partial attraction a semistable law with index $\alpha\in (1/2,1]$. In the process we obtain local lim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2f73559310ed5997a6b8ef71e243267
Publikováno v:
Transactions of the American Mathematical Society. 371:7343-7386
We develop an abstract framework for obtaining optimal rates of mixing and higher order asymptotics for infinite measure semiflows. Previously, such results were restricted to the situation where there is a first return Poincaré map that is uniforml
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ab7ce8e87ee4d9cbdfbd3ad513559ec9
https://doi.org/10.1090/tran/7582
https://doi.org/10.1090/tran/7582