scholarly journals New Characterization of the Weak Disorder Phase of Directed Polymers in Bounded Random Environments

Author(s):  
Stefan Junk
2019 ◽  
Vol 18 (01) ◽  
pp. 1950003 ◽  
Author(s):  
Bruno Rémillard ◽  
Jean Vaillancourt

Parrondo’s paradox is extended to regime switching random walks in random environments. The paradoxical behavior of the resulting random walk is explained by the effect of the random environment. Full characterization of the asymptotic behavior is achieved in terms of the dimensions of some random subspaces occurring in Oseledec’s theorem. The regime switching mechanism gives our models a richer and more complex asymptotic behavior than the simple random walks in random environments appearing in the literature, in terms of transience and recurrence.


2008 ◽  
Vol 26 (5) ◽  
pp. 1000-1012 ◽  
Author(s):  
Mitsuharu Miura ◽  
Yoshihiro Tawara ◽  
Kaneharu Tsuchida

1996 ◽  
Vol 85 (1-2) ◽  
pp. 277-289 ◽  
Author(s):  
Renming Song ◽  
Xian Yin Zhou

Nonlinearity ◽  
2021 ◽  
Vol 34 (10) ◽  
pp. 7335-7370
Author(s):  
Yu Gu ◽  
Christopher Henderson

Author(s):  
B. L. Soloff ◽  
T. A. Rado

Mycobacteriophage R1 was originally isolated from a lysogenic culture of M. butyricum. The virus was propagated on a leucine-requiring derivative of M. smegmatis, 607 leu−, isolated by nitrosoguanidine mutagenesis of typestrain ATCC 607. Growth was accomplished in a minimal medium containing glycerol and glucose as carbon source and enriched by the addition of 80 μg/ ml L-leucine. Bacteria in early logarithmic growth phase were infected with virus at a multiplicity of 5, and incubated with aeration for 8 hours. The partially lysed suspension was diluted 1:10 in growth medium and incubated for a further 8 hours. This permitted stationary phase cells to re-enter logarithmic growth and resulted in complete lysis of the culture.


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