State space collapse for queueing networks.
Bramson, Maury (1998)
Documenta Mathematica
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Bramson, Maury (1998)
Documenta Mathematica
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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.
B. Popovic (1980)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Lawler, Gregory F. (1998)
Mathematical Physics Electronic Journal [electronic only]
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Jonathan Warren (1999)
Séminaire de probabilités de Strasbourg
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J. P. Keller (1978)
Publications du Département de mathématiques (Lyon)
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Nizar Demni, Dominique Lépingle (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Soucaliuc, Florin, Werner, Wendelin (2002)
Electronic Communications in Probability [electronic only]
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Alfred Aanu Akinsete (2001)
Kragujevac Journal of Mathematics
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Tsirelson, Boris (1998)
Documenta Mathematica
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Martin T. Barlow, Krzysztof Burdzy, Haya Kaspi, Avi Mandelbaum (2001)
Séminaire de probabilités de Strasbourg
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Sznitman, Alain-Sol (1998)
Documenta Mathematica
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Daduna, Hans (1991)
Journal of Applied Mathematics and Stochastic Analysis
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Ching-Tang Wu, Marc Yor (2002)
Publicacions Matemàtiques
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Brownian motions defined as linear transformations of two independent Brownian motions are studied, together with certain orthogonal decompositions of Brownian filtrations.