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math.PR2020
A Kac Model with Exclusion
Eric Carlen, Bernt Wennberg
We consider a one dimension Kac model with conservation of energy and an exclusion rule: Fix a number of particles , and an energy . Let each of the particles have an energ…
math.PR2011
Random many-particle systems: applications from biology, and propagation of chaos in abstract models
Bernt Wennberg
The paper discusses a family of Markov processes that represent many particle systems, and their limiting behaviour when the number of particles go to infinity. The first part conc…