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pro vyhledávání: '"37A40, 60F05"'
Autor:
Aaronson, Jon., Sera, Toru
We prove functional, distributional limit theorems for the occupation times of pointwise dual ergodic transformations at "tied-down" times immediately after "excursions". The limiting processes are tied down Mittag-Leffler processes and the transform
Externí odkaz:
http://arxiv.org/abs/2104.12006
Autor:
Aaronson, Jon., Sera, Toru
We prove distributional limit theorems (conditional and integrated) for the occupation times of certain weakly mixing, pointwise dual ergodic transformations at "tied-down" times immediately after "excursions". The limiting random variables include t
Externí odkaz:
http://arxiv.org/abs/1910.09846
Autor:
Aaronson, Jon., Terhesiu, Dalia
Publikováno v:
DCDS-A, 40, 12 (2020) 6575-6609
We prove local limit theorems for a cocycle over a semiflow by establishing topological, mixing properties of the associated skew product semiflow. We also establish conditional rational weak mixing of certain skew product semiflows and various mixin
Externí odkaz:
http://arxiv.org/abs/1710.10150
Autor:
Aaronson, Jon, Sarig, Omri
Publikováno v:
Ergod. Th. Dynam. Sys. 34 (2014) 705-724
We prove distributional limit theorems for random walk adic transformations obtaining ergodic distributional limits of exponential chi squared form.
Comment: Keywords: Infinite ergodic theory, distributional convergence, random walk adic transfo
Comment: Keywords: Infinite ergodic theory, distributional convergence, random walk adic transfo
Externí odkaz:
http://arxiv.org/abs/1202.4485
Autor:
Aaronson, Jon, Park, Kyewon Koh
Publikováno v:
Fund. Math. 206 (2009), 1--21
We show that a certain type of quasi finite, conservative, ergodic, measure preserving transformation always has a maximal zero entropy factor, generated by predictable sets. We also construct a conservative, ergodic, measure preserving transformatio
Externí odkaz:
http://arxiv.org/abs/0705.2148
Autor:
Aaronson, Jon., Sera, Toru
Publikováno v:
Israel Journal of Mathematics. 251:3-47
We prove distributional limit theorems (conditional and integrated) for the occupation times of certain weakly mixing, pointwise dual ergodic transformations at "tied-down" times immediately after "excursions". The limiting random variables include t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f934aacb6b1b82cad845338fa51b96bb
https://doi.org/10.1007/s11856-022-2430-3
https://doi.org/10.1007/s11856-022-2430-3
Autor:
Dalia Terhesiu, Jon Aaronson
We prove local limit theorems for a cocycle over a semiflow by establishing topological, mixing properties of the associated skew product semiflow. We also establish conditional rational weak mixing of certain skew product semiflows and various mixin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::862c3d72f59bc392d676ed77801d63cc
Autor:
Omri Sarig, Jon Aaronson
Publikováno v:
Ergodic Theory and Dynamical Systems
We prove distributional limit theorems for random walk adic transformations obtaining ergodic distributional limits of exponential chi squared form.
Keywords: Infinite ergodic theory, distributional convergence, random walk adic transformation
Keywords: Infinite ergodic theory, distributional convergence, random walk adic transformation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50d233016946fb2011b9472c3a597a48
Autor:
Jon Aaronson, Kyewon Koh Park
We show that a certain type of quasi finite, conservative, ergodic, measure preserving transformation always has a maximal zero entropy factor, generated by predictable sets. We also construct a conservative, ergodic, measure preserving transformatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a2ad8221448789f1afd629a11f7bcccc