Krieger's theorem
WebIn mathematics, Carathéodory's existence theorem says that an ordinary differential equation has a solution under relatively mild conditions.It is a generalization of Peano's existence theorem. Peano's theorem requires that the right-hand side of the differential equation be continuous, while Carathéodory's theorem shows existence of solutions (in … Webresult for Cuntz–Krieger algebras [6], ultragraph algebras and labelled graph C∗-algebras is the existence of a Cuntz–Krieger uniqueness theorem, firstly proved for the …
Krieger's theorem
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Web23 mei 2024 · We prove that every free ergodic action with finite Rokhlin entropy admits generating partitions which are almost Bernoulli, strengthening the theorem of … WebWe extend the theory of ergodic optimization and maximizing measures to the non-commutative field of C*-dynamical systems. We then employ this ergodic optimization machinery to provide an alternate characterization of unique erogdicity of C*-dynamical systems when the resident group action satisfies certain Choquet-theoretic assumptions.
WebKrieger’s finite generator theorem for actions of countable groups I. Invent. Math. 215(1) (2024), 265–310]. In this paper we prove a non-ergodic finite generator theorem and use … WebFor measure preserving ergodic systems the celebrated Krieger generator theorem gives a complete answer in terms of measure theoretical entropy : Theorem 1.1. (Theorem 2.1 and 4.3 in [Kri70]) Let Tbe an ergodic automorphism of a standard probability space (X;U; ) then Tembeds measure theoretically in the
Web1 jan. 2006 · Strictly ergodic embedding (Theorem of Jewett and Krieger) Manfred Denker, Christian Grillenberger &. Karl Sigmund. Chapter. First Online: 01 January 2006. 1042 Accesses. 1 Citations. Part of the Lecture Notes in Mathematics book series (LNM,volume 527) WebTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 356, Number 9, Pages 3557{3619 S 0002-9947(04)03437-3 Article electronically published on January 16, 2004 ON THE STRUCTUR
WebOver the years, Krieger’s theorem acquired much fame and underwent various generalizations. In 1972, Katznelson and Weiss [24] outlined a proof of Krieger’s …
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