Combinatorial encoding of continious dynamics, and transfer of the space of paths of the graded graphs

2019/04/24 by Vershik, A.
#05E05 #05E10 #05E45 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1904.10938

Abstract

These notes follow my articles [1, 6], and give some new important details. We propose here a new combinatorial method of encoding of measure spaces with measure preserving transformations, (or groups of transformations) in order to give new, mostly locally finite geometrical models for investigation of dynamical properties of these objects.

Related

• The problem of combinatorial encoding of a continuous dynamics and the\n notion of transfer of paths in graphs
• Groups and Dynamics: Topology, Measure, and Borel Structure
• Symbolic dynamics and the category of graphs
• The problem of describing central measures on path space of graded graphs
• Equipped graded graphs, projective limits of simplices, and their boundaries