منابع مشابه
Bernoulli Schemes and Their Isomorphisms
In these lectures I shall present some of the ideas and methods used in the proof of the celebrated theorem stating that two Bernoulli schemes are isomorphic if and only if they have the same entropy. I shall concentrate, because of lack of time, on a well known partial result, Sinai's theorem, which states that two Bernoulli schemes are weakly isomorphic if and only if they have the same entro...
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We consider billiards in bounded non-polygonal domains of R with piecewise smooth boundary. More precisely, we assume that the curves forming the boundary are straight lines or strictly convex inward curves (dispersing) or strictly convex outward curves of a special type (absolutely focusing). It follows from the work of Sinai, Bunimovich, Wojtkowski, Markarian and Donnay [S, Bu2, W2, M1, Do, B...
متن کاملJacobi-bernoulli Cohomology and Deformations of Schemes and Maps
We introduce a notion of Jacobi-Bernoulli cohomology associated to a semisimplicial Lie algebra (SELA). For an algebraic scheme X over C, we construct a tangent SELA TX and show that the Jacobi-Bernoulli cohomology of TX is related to infinitesimal deformations of X.
متن کاملIsing Model and Bernoulli Schemes in One Dimension
We prove that the one-dimensional random fields with finite first moment are isomorphic to Bernoulli schemes. §
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1974
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01651505