The incipient infinite cluster in high-dimensional percolation.
Hara, Takashi, Slade, Gordon (1998)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Displaying similar documents to “Universality for conformally invariant intersection exponents”
The incipient infinite cluster in high-dimensional percolation.
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Betsakos, Dimitrios (1998)
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Conformal restriction and related questions.
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Lawler, Gregory F. (1995)
Mathematical Physics Electronic Journal [electronic only]
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Werner, Wendelin (1996)
Electronic Communications in Probability [electronic only]
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Soucaliuc, Florin, Werner, Wendelin (2002)
Electronic Communications in Probability [electronic only]
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Brownian motion and random obstacles.
Sznitman, Alain-Sol (1998)
Documenta Mathematica
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Strict concavity of the half plane intersection exponent for planar Brownian motion.
Lawler, Gregory F. (2000)
Electronic Journal of Probability [electronic only]
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The level sets of iterated brownian motion
Krzysztof Burdzy, Davar Khoshnevisan (1995)
Séminaire de probabilités de Strasbourg
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Constructions of a Brownian path with a given minimum.
Bertoin, Jean, Pitman, Jim, Ruiz de Chavez, Juan (1999)
Electronic Communications in Probability [electronic only]
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Avoiding-probabilities for Brownian snakes and super-Browian motion.
Abraham, Romain, Werner, Wendelin (1997)
Electronic Journal of Probability [electronic only]
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Brownian Motion, Reflection Groups and Tanaka Formula
Nizar Demni, Dominique Lépingle (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Revisiting the sample path of Brownian motion
S. James Taylor (2006)
Banach Center Publications
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Brownian motion is the most studied of all stochastic processes; it is also the basis for stochastic analysis developed in the second half of the 20th century. The fine properties of the sample path of a Brownian motion have been carefully studied, starting with the fundamental work of Paul Lévy who also considered more general processes with independent increments and extended the Brownian motion results to this class. Lévy showed that a Brownian path in d (d ≥ 2) dimensions had zero...
Convergence to the brownian Web for a generalization of the drainage network model
Cristian Coletti, Glauco Valle (2014)
Annales de l'I.H.P. Probabilités et statistiques
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We introduce a system of one-dimensional coalescing nonsimple random walks with long range jumps allowing paths that can cross each other and are dependent even before coalescence. We show that under diffusive scaling this system converges in distribution to the Brownian Web.