scholarly journals Inverted orbits of exclusion processes, diffuse-extensive-amenability, and (non-?)amenability of the interval exchanges

2020 ◽  
Vol 14 (3) ◽  
pp. 871-897
Author(s):  
Christophe Garban
Keyword(s):  
Exclusion Processes ◽  
Interval Exchanges

scholarly journals Bifix codes and interval exchanges

2015 ◽  
Vol 219 (7) ◽  
pp. 2781-2798 ◽  
Author(s):  
Valérie Berthé ◽  
Clelia De Felice ◽  
Francesco Dolce ◽  
Julien Leroy ◽  
Dominique Perrin ◽  
...  
Keyword(s):  
Interval Exchanges

Exclusion processes on a growing domain

2009 ◽  
Vol 259 (3) ◽  
pp. 541-551 ◽  
Author(s):  
Benjamin J. Binder ◽  
Kerry A. Landman
Keyword(s):  
Exclusion Processes ◽  
Growing Domain

STUDY OF RANDOM PARTICLE TRAFFIC ON A MULTI-LATTICE JUNCTION

2013 ◽  
Vol 27 (09) ◽  
pp. 1350063 ◽  
Author(s):  
SHAODA LI ◽  
MINGZHE LIU ◽  
MIN ZHOU ◽  
YIZHANG YIN
Keyword(s):  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Low Density ◽  
Biological Transport ◽  
Traffic Dynamics ◽  
Exclusion Processes ◽  
Density Profiles ◽  
Random Particle ◽  
Asymmetric Exclusion Processes

In this paper, we investigate particle traffic on an m-input n-output (MINO) junction using totally asymmetric exclusion processes (TASEPs) under random sequential update. The model is suitable for description of biological transport. A general theoretical solution for traffic dynamics of TASEPs is developed based on a mean-field approximation. It is found that the low-density and high-density regions can be calculated qualitatively and quantitatively once the number of m and/or n is determined. The phase diagram, system current and density profiles are obtained through theoretical analysis and supported by Monte Carlo simulations. Comparison between a m-input n-output TASEP junction in random and parallel sequential updates has also been reported.

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