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Realizable monotonicity for continuous-time Markov processes
Paolo Dai Pra, Pierre-Yves Louis, Ida Minelli
We formalize and analyze the notions of stochastic monotonicity and realizable mono-tonicity for Markov Chains in continuous-time, taking values in a finite partially ordered set.…
Monotonicity and complete monotonicity for continuous-time Markov chains
Paolo Dai Pra, Pierre-Yves Louis, Ida Minelli
We analyze the notions of monotonicity and complete monotonicity for Markov Chains in continuous-time, taking values in a finite partially ordered set. Similarly to what happens in…
Synchronization via interacting reinforcement
Paolo Dai Pra, Pierre-Yves Louis, Ida G. Minelli
We consider a system of urns of Polya-type, with balls of two colors; the reinforcement of each urn depends both on the content of the same urn and on the average content of all ur…