Strict concavity of the intersection exponent for Brownian motion in two and three dimensions.
Lawler, Gregory F. (1998)
Mathematical Physics Electronic Journal [electronic only]
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Lawler, Gregory F. (1998)
Mathematical Physics Electronic Journal [electronic only]
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Betsakos, Dimitrios (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Soucaliuc, Florin, Werner, Wendelin (2002)
Electronic Communications in Probability [electronic only]
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Sznitman, Alain-Sol (1998)
Documenta Mathematica
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Nizar Demni, Dominique Lépingle (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Alf Jonsson (1996)
Mathematische Zeitschrift
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Lawler, Gregory F. (1995)
Mathematical Physics Electronic Journal [electronic only]
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Jonathan Warren (1999)
Séminaire de probabilités de Strasbourg
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Tsirelson, Boris (1998)
Documenta Mathematica
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Krzysztof Burdzy, Donald E. Marshall (1993)
Annales de l'I.H.P. Probabilités et statistiques
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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.
Martin Barlow, Richard F. Bass, Takashi Kumagai, Alexander Teplyaev (2010)
Journal of the European Mathematical Society
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We prove that, up to scalar multiples, there exists only one local regular Dirichlet form on a generalized Sierpi´nski carpet that is invariant with respect to the local symmetries of the carpet. Consequently, for each such fractal the law of Brownian motion is uniquely determined and the Laplacian is well defined.