ENTROPY OF DYNAMICAL SYSTEMS ON WEIGHTS OF A GRAPH
Publish place: Journal of Mahani Mathematical Research، Vol: 2، Issue: 1
Publish Year: 1392
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_KJMMRC-2-1_005
تاریخ نمایه سازی: 5 خرداد 1398
Abstract:
Let $G$ be a finite simple graph whose vertices and edges are weighted by two functions. In this paper we shall define and calculate entropy of a dynamical system on weights of the graph $G$, by using the weights of vertices and edges of $G$. We examine the conditions under which entropy of the dynamical system is zero, possitive or $+infty$. At the end it is shown that, for $rin [0,+infty]$, there exists an order preserving transformation with entropy $r$.
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Authors
A. EBRAHIMZADEH
ISLAMIC AZAD UNIVERSITY
M. EBRAHIMI
SHAHID BAHONAR UNIVERSITY OF KERMAN,
MASHALLAH MASHINCHI
DEPARTMENT OF STATISTICS, SHAHID BAHONAR UNIVERSITY OF KERMAN, IRAN.