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Random systems in ultrametric spaces

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Abstract We discuss percolation and random walks in a class of homogeneous ultrametric spaces together with similarities and differences in ultrametric and Euclidean spaces. We briefly outline the role of… Click to show full abstract

Abstract We discuss percolation and random walks in a class of homogeneous ultrametric spaces together with similarities and differences in ultrametric and Euclidean spaces. We briefly outline the role of these models in the study of interacting systems. Several open problems are presented.

Keywords: ultrametric spaces; random systems; systems ultrametric

Journal Title: Advances in Applied Probability
Year Published: 2018

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