scholarly journals Deterministic walks in a random cylinder

2021 ◽  
Vol 14 ◽  
Author(s):  
Tanav Choudhary
Keyword(s):  
Deterministic Walks

scholarly journals Deterministic walks in random networks: an application to thesaurus graphs

2002 ◽  
Vol 315 (3-4) ◽  
pp. 665-676 ◽  
Author(s):  
O Kinouchi ◽  
A.S Martinez ◽  
G.F Lima ◽  
G.M Lourenço ◽  
S Risau-Gusman
Keyword(s):  
Random Networks ◽  
Deterministic Walks

scholarly journals Entropy dimension for deterministic walks in random sceneries

2021 ◽  
pp. 1-18
Author(s):  
DOU DOU ◽  
KYEWON KOH PARK
Keyword(s):  
Growth Rate ◽  
Dynamical Systems ◽  
Base System ◽  
Irrational Rotations ◽  
Intermediate Growth ◽  
Skew Products ◽  
Entropy Dimension ◽  
Deterministic Walks ◽  
Different Levels ◽  
Bernoulli Systems

Abstract Entropy dimension is an entropy-type quantity which takes values in $[0,1]$ and classifies different levels of intermediate growth rate of complexity for dynamical systems. In this paper, we consider the complexity of skew products of irrational rotations with Bernoulli systems, which can be viewed as deterministic walks in random sceneries, and show that this class of models can have any given entropy dimension by choosing suitable rotations for the base system.

scholarly journals Deterministic walks in random environment

2020 ◽  
Vol 48 (5) ◽  
pp. 2212-2257
Author(s):  
Romain Aimino ◽  
Carlangelo Liverani
Keyword(s):  
Random Environment ◽  
Deterministic Walks
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