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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,The Stable Derrida–Retaux System at Criticality,n the integrability assumption is not satisfied, our result allows to identify the large-time order of magnitude of the product of the moment generating functions at criticality, confirming and completing a previous result in Collet et al. (Commun Math Phys 94:353–370, 1984).

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Ground State Stability in Two Spin Glass Models,bility of multiple ground states—are closely related to the stability of their ground states. Here we examine the stability of ground states in two models, one of which is presumed to have a ground state structure that is qualitatively similar to other realistic short-range spin glasses in finite dimensions.

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Time Correlation Exponents in Last Passage Percolation,ge percolation. As a by-product of the proof, we also get quantitative estimates for locally Brownian nature of pre-limits of Airy. process coming from exponential LPP, a result of independent interest.

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1050-6977 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.978-3-030-60756-2978-3-030-60754-8Series IS

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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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