Generalized Master Equations for Random Walks with Time-Dependent Jump Sizes

2018 ◽  
Vol 78 (3) ◽  
pp. 1330-1349
Author(s):  
Diego Torrejon ◽  
Maria Emelianenko
Keyword(s):  
Random Walks ◽  
Master Equations ◽  
Time Dependent ◽  
Generalized Master Equations ◽  
Jump Sizes

Generalized master equations for continuous-time random walks

1973 ◽  
Vol 9 (1) ◽  
pp. 45-50 ◽  
Author(s):  
V. M. Kenkre ◽  
E. W. Montroll ◽  
M. F. Shlesinger
Keyword(s):  
Random Walks ◽  
Continuous Time ◽  
Master Equations ◽  
Generalized Master Equations ◽  
Continuous Time Random Walks

scholarly journals Phenomenological memory-kernel master equations and time-dependent Markovian processes

2010 ◽  
Vol 81 (6) ◽  
Author(s):  
L. Mazzola ◽  
E.-M. Laine ◽  
H.-P. Breuer ◽  
S. Maniscalco ◽  
J. Piilo
Keyword(s):  
Master Equations ◽  
Time Dependent ◽  
Memory Kernel ◽  
Markovian Processes

Dams with additive inputs revisited

1977 ◽  
Vol 14 (2) ◽  
pp. 367-374 ◽  
Author(s):  
P. A. Pegg ◽  
R. M. Phatarfod
Keyword(s):  
Random Walks ◽  
Time Dependent ◽  
Release Ratio ◽  
Finite Dam

In this paper we consider a finite dam with unit release. Ratio identities are derived for the various random walks involved, and from them are derived the p.g.f. of the time of first emptiness with and without overflow and the complete time-dependent distribution of the dam content.

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