Titlebook: In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius; Maria Eulália Vares,Roberto Fernández,Charles M. N Book 2021 The Editor(s) (

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Structural Properties of Conditioned Random Walks on Integer Lattices with Random Local Constraintsr of limiting results by letting the high level to tend to infinity. In particular, we generalise results for a simple symmetric one-dimensional random walk obtained earlier in the paper by Benjamini and Berestycki (J Eur Math Soc 12(4):819–854, 2010).

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Book 2021This is a volume in memory of Vladas Sidoravicius who passed away in 2019. Vladas has edited two volumes appeared in this series ("In and Out of Equilibrium") and is now honored by friends and colleagues with research papers reflecting Vladas‘ interests and contributions to probability theory.

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Avalanches in Critical Activated Random Walks,We consider Activated Random Walks on . with totally asymmetric jumps and critical particle density, with different time scales for the progressive release of particles and the dissipation dynamics. We show that the cumulative flow of particles through the origin rescales to a pure-jump self-similar process which we describe explicitly.

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Progress in Probabilityhttp://image.papertrans.cn/i/image/463067.jpg

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