2 papers
math.PR2011
Rank-driven Markov processes
Michael Grinfeld, Philip A. Knight, Andrew R. Wade
We study a class of Markovian systems of elements taking values in that evolve in discrete time via randomized replacement rules based on the ranks of the elements.…
nlin.AO2010
Bak--Sneppen type models and rank-driven processes
Michael Grinfeld, Philip A. Knight, Andrew R. Wade
The Bak--Sneppen model is a simple stochastic model of evolution that exhibits self-organized criticality and for which few analytical results have been established. In the origina…