Rates of convergence to the local time of a diffusion
Jean Jacod (1998)
Annales de l'I.H.P. Probabilités et statistiques
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Jean Jacod (1998)
Annales de l'I.H.P. Probabilités et statistiques
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Kerbashev, Tzvetozar (1999)
Serdica Mathematical Journal
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The maximum M of a critical Bienaymé-Galton-Watson process conditioned on the total progeny N is studied. Imbedding of the process in a random walk is used. A limit theorem for the distribution of M as N → ∞ is proved. The result is trasferred to the non-critical processes. A corollary for the maximal strata of a random rooted labeled tree is obtained.
Annamaria Montanari, Daniele Morbidelli (2004)
Annales de l’institut Fourier
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We provide a structure theorem for Carnot-Carathéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincaré inequality follows.
Gustaf Gripenberg (1995)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Jerzy Sawa (1985)
Studia Mathematica
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K. Ramanathan (1984)
Acta Arithmetica
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Amine Asselah (2011)
Annales de l'I.H.P. Probabilités et statistiques
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We study the upper tails for the energy of a randomly charged symmetric and transient random walk. We assume that only charges on the same site interact pairwise. We consider estimates, that is when we average over both randomness, in dimension three or more. We obtain a large deviation principle, and an explicit rate function for a large class of charge distributions.