scholarly journals A continuous-time persistent random walk model for flocking

2018 ◽  
Vol 28 (7) ◽  
pp. 075507 ◽  
Author(s):  
Daniel Escaff ◽  
Raúl Toral ◽  
Christian Van den Broeck ◽  
Katja Lindenberg
2021 ◽  
Vol 34 (4) ◽  
Author(s):  
M. Muge Karaman ◽  
Jiaxuan Zhang ◽  
Karen L. Xie ◽  
Wenzhen Zhu ◽  
Xiaohong Joe Zhou

1988 ◽  
Vol 25 (A) ◽  
pp. 335-346
Author(s):  
J. Gani

This paper considers a bivariate random walk modelon a rectangular lattice for a particle injected into a fluid flowing in a tank. The numbers of jumps of the particle in thexandydirections in this particular model are correlated. It is shown that when the random walk forms a bivariate Markov chain in continuous time, it is possible to obtain the state probabilitiespxy(t) through their Laplace transforms. Two exit rules are considered and results for both of them derived.


1989 ◽  
Vol 39 (11) ◽  
pp. 6010-6015 ◽  
Author(s):  
Carlos B. Briozzo ◽  
Carlos E. Budde ◽  
Manuel O. Cáceres

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