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» On Markov Chains for Independent Sets
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AUTOMATICA
2005
117views more  AUTOMATICA 2005»
13 years 7 months ago
Dwell-time controllers for stochastic systems with switching Markov chain
We study the problem of feedback stabilization of a family of nonlinear stochastic systems with switching mechanism modeled by a Markov chain. We introduce a novel notion of stabi...
Stefano Battilotti, A. De Santis
FOCS
2007
IEEE
14 years 1 months ago
Mixing Time Power Laws at Criticality
We study the mixing time of some Markov Chains converging to critical physical models. These models are indexed by a parameter β and there exists some critical value βc where th...
Yun Long, Asaf Nachmias, Yuval Peres
MOR
2006
79views more  MOR 2006»
13 years 7 months ago
The Value of Markov Chain Games with Lack of Information on One Side
We consider a two-player zero-sum game given by a Markov chain over a finite set of states K and a family of zero-sum matrix games (Gk)kK. The sequence of states follows the Marko...
Jérôme Renault
SIAMSC
2010
114views more  SIAMSC 2010»
13 years 5 months ago
Smoothed Aggregation Multigrid for Markov Chains
Abstract. A smoothed aggregation multigrid method is presented for the numerical calculation of the stationary probability vector of an irreducible sparse Markov chain. It is shown...
Hans De Sterck, Thomas A. Manteuffel, Stephen F. M...
CDC
2009
IEEE
147views Control Systems» more  CDC 2009»
14 years 7 days ago
A simulation-based method for aggregating Markov chains
— This paper addresses model reduction for a Markov chain on a large state space. A simulation-based framework is introduced to perform state aggregation of the Markov chain base...
Kun Deng, Prashant G. Mehta, Sean P. Meyn