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Information content of self-similar structures

Grant number: 18/14952-7
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): December 01, 2018
Effective date (End): May 31, 2019
Field of knowledge:Physical Sciences and Mathematics - Probability and Statistics
Principal Investigator:Anatoli Iambartsev
Grantee:Evgenia Vladimirovna Chunikhina
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:17/10555-0 - Stochastic modeling of interacting systems, AP.TEM

Abstract

In this post-doctoral research program, we propose to investigate several problems in the area of information quantification of the self-similar structures. More precisely, we plan to find the entropy rate for Tokunaga self-similar trees and for the geometric Tokunaga processes, explain the behavior of the entropy rates, and compare it with the behavior of the entropy rate of uniformly distributed planted binary plane trees with Horton exponent.