Equipped Graded Graphs, Projective Limits of Simplices, and Their Boundaries

In this paper, we develop a theory of equipped graded graphs (or Bratteli diagrams) and an alternative theory of projective limits of finite-dimensional simplices. An equipment is an additional structure on the graph, namely, a system of “cotransition” probabilities on the set of its paths. The main...

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Bibliographic Details
Published in:	Journal of mathematical sciences (New York, N.Y.) Vol. 209; no. 6; pp. 860 - 873
Main Author:	Vershik, A. M.
Format:	Journal Article
Language:	English
Published:	New York Springer US 09.09.2015 Springer
Subjects:	Algebra Markov processes Mathematics Mathematics and Statistics Martin Boundary Path Space Projective Limit Bratteli Diagram Choquet Simplex
ISSN:	1072-3374, 1573-8795
Online Access:	Get full text
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