Resolvent metric and the heat kernel estimate for random walks |
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| Authors: | András Telcs Vincenzo Vespri |
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| Institution: | 1. Department of Quantitative Methods, Faculty of Economics, University of Pannonia, Veszprém, Hungary;2. Department of Computer Science and Information Theory, Budapest University of Technology and Economics, Magyar tudósok k?rútja 2, H-1117, Budapest, Hungary;3. Dipartimento di Matematica ed Informatica Ulisse Dini, Universitá degli studi di Firenze Viale Morgagni, 67/a I-50134 Firenze, Italy |
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| Abstract: | In this paper we introduce the resolvent metric, the generalization of the resistance metric used for strongly recurrent walks. By using the properties of the resolvent metric we show heat kernel estimates for recurrent and transient random walks. |
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