Nonlinear Markov processes and kinetic equations (Cambridge Tracts in Mathematics 182)

2011 ◽  
Vol 43 (6) ◽  
pp. 1245-1247 ◽  
Author(s):  
David Applebaum
Keyword(s):  
Markov Processes ◽  
Kinetic Equations ◽  
Nonlinear Markov Processes

Nonlinear Markov Processes and Kinetic Equations

2009 ◽  
Author(s):  
Vassili N. Kolokoltsov
Keyword(s):  
Markov Processes ◽  
Kinetic Equations ◽  
Nonlinear Markov Processes

scholarly journals On invariant measures of nonlinear Markov processes

1993 ◽  
Vol 6 (4) ◽  
pp. 385-406 ◽  
Author(s):  
N. U. Ahmed ◽  
Xinhong Ding
Keyword(s):  
Markov Process ◽  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Markov Processes ◽  
Existence And Uniqueness ◽  
Invariant Measures ◽  
Nonlinear Markov Processes

We consider a nonlinear (in the sense of McKean) Markov process described by a stochastic differential equations in Rd. We prove the existence and uniqueness of invariant measures of such process.

scholarly journals Local stability of Kolmogorov forward equations for finite state nonlinear Markov processes

2015 ◽  
Vol 20 (0) ◽  
Author(s):  
Amarjit Budhiraja ◽  
Paul Dupuis ◽  
Markus Fischer ◽  
Kavita Ramanan
Keyword(s):  
Markov Processes ◽  
Local Stability ◽  
Finite State ◽  
Nonlinear Markov Processes ◽  
Forward Equations ◽  
Kolmogorov Forward Equations

MICRO-DYNAMIC ASSOCIATED WITH TWO-STATE NONLINEAR MARKOV PROCESSES: WITH AN APPLICATION TO FREE RECALL

2011 ◽  
Vol 10 (01) ◽  
pp. 41-58 ◽  
Author(s):  
T. D. FRANK ◽  
T. RHODES
Keyword(s):  
Free Recall ◽  
Markov Processes ◽  
Dynamic Models ◽  
Mean Field ◽  
Variational Calculus ◽  
State Model ◽  
Recall Data ◽  
Nonlinear Markov Processes ◽  
Many Body Systems ◽  
Two State Model

We examine the relationship between time-discrete nonlinear Markov processes defined in terms of nonlinear Markov chains and corresponding micro-dynamic models describing many-body systems composed of a finite number of units interacting with each other via a mean field. To this end, we consider a two-state model and examine appropriately defined measures for attractor strength and noise amplitude using variational calculus. We focus on a two-state model and demonstrate an application to free recall data from 8 participants.

Relationship of fluctuations and transport for nonlinear Markov processes

1986 ◽  
Vol 33 (6) ◽  
pp. 4307-4311 ◽  
Author(s):  
James W. Dufty ◽  
J. Javier Brey ◽  
M. Cristina Marchetti
Keyword(s):  
Markov Processes ◽  
Nonlinear Markov Processes ◽  
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