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Семинар Лаборатории Чебышёва «Теория вероятностей»
17 февраля 2011 г. 12:00, г. Санкт-Петербург, 14-я линия ВО, 29Б, аудитория 413
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Criticality of the Abelian sandpile model on converging sequences of graphs
Michel Matter University of Geneva
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Эта страница: | 141 |
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Аннотация:
We consider the question of the criticality of the Abelian sandpile model on converging sequences of graphs. Classically, one studies the model on a sequence of finite graphs exhausting some infinite regular lattice. The dynamics of the model is encoded by so-called avalanches and its criticality is reflected, asymptotically, by power-law decays of various statistics related to these avalanches. After considering few examples, we extend the study of the criticality of the ASM to graphs converging in a more general sense to some infinite limits.
Язык доклада: английский
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