Self-interacting Markov chains - Moral, Miclo () Citation Context ...ven similar results for limit color-frequencies in Pólya urns [4], [10], as it hints at an even larger role for Dirichlet measures in related but different “reinforcement”type models (see [17], [23], =-=[22]-=...
Self-interaction60K3560J1060F1060F17Guided by the self-interaction mechanisms introduced in Benaim et al. [2] and in [5], we present a more general definition of self-interacting Markov chains (SIMCs) (than in Del Moral and Miclo [5] and Benaim et al. [2]). We then establish, ...
Markov chainsMonte Carlophase transitionsWe consider self-avoiding walks on the simple cubic lattice in which neighboring pairs of vertices of the walk (not connected by an edge) have an associated pair-wise additive energy. If the associated force is attractive, then the walk can collapse from ...