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Titlebook: Ergodic Theory and Related Topics III; Proceedings of the I Ulrich Krengel,Karin Richter,Volker Warstat Conference proceedings 1992 Springe

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书目名称Ergodic Theory and Related Topics III
副标题Proceedings of the I
编辑Ulrich Krengel,Karin Richter,Volker Warstat
视频video
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Ergodic Theory and Related Topics III; Proceedings of the I Ulrich Krengel,Karin Richter,Volker Warstat Conference proceedings 1992 Springe
描述The purpose of the conference was to represent recentdevelopments in measure theoretic, differentiable andtopological dynamical systems as well as connections toprobability theory, stochastic processes, operatortheoryand statistical physics. Only original research papers thatdo not appear elsewhere are included in the proceedings.Their topics include: C(2)-diffeomorphisms of compactRiemann manifolds, geodesic flows, chaoticbehaviour inbillards, nonlinear ergodic theory, central limittheoremsfor subadditive processes, Hausdorff measures forparabolicrational maps, Markov operators, periods of cycles, Juliasets, ergodic theorems.From the Contents: L.A. Bunimovich: Onabsolutely focusingmirrors.- M. Denker, M. Urbanski: The dichotomy ofHausdorffmeasures and equilibrium states for parabolic rationalmaps.- F. Ledrappier: Ergodic properties of the stablefoliations.- U. Wacker: Invariance principles and centrallimit theorems for nonadditive stationary processes.- J.Schmeling, R. Siegmund-Schultze: Hoelder continuity of theholonomy map for hyperbolic basic sets.- A.M. Blokh: Thespectral decomposition, periods of cycles and Misiurewiczconjecture for graph maps.-and contributions by Chr. Bandt
出版日期Conference proceedings 1992
关键词Ergodic theory; Probability theory; Stochastic processes; Variance; linear optimization; mixing; stochasti
版次1
doihttps://doi.org/10.1007/BFb0097523
isbn_softcover978-3-540-55444-8
isbn_ebook978-3-540-47076-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1992
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Manuela Monti,Carlo Alberto Reditrans-formations? We give necessary conditions and show that they are sufficient for 2-valued processes as far as the marginals of (.., .., .., ..) are concerned. The general problem remains open. Our main tool is a construction of a class of generalized measure preserving transformations which may
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On the construction of generalized measure preserving transformations with given marginals,trans-formations? We give necessary conditions and show that they are sufficient for 2-valued processes as far as the marginals of (.., .., .., ..) are concerned. The general problem remains open. Our main tool is a construction of a class of generalized measure preserving transformations which may be of independent interest.
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https://doi.org/10.1007/3-540-36488-9The Abramov-Rokhlin formula states that the entropy of a measure-preserving transformation . equals the sum of the entropy of a factor . of . and the entropy of . relative to .. We prove this formula for non-invertible transformations and apply it to skew-product transformations.
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We determine upper and lower bounds for partial sums of subsequences of the dyadic Champernowne sequence, which are obtained from completely deterministic selection functions. This complements results by Shiokawa and Uchiyama.
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Bhuvnesh Sareen,Amita BhattacharyaWe prove that return time sequences for dynamical systems which are abelian extensions of translations, are universaly good for the pointwise ergodic theorem. This can be used to prove the pointwise ergodic theorem along Morse sequence. This last result can also be proved by means of estimations of trigonometric sums.
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