Interpolations between bosonic and fermionic relations given by generalized Brownian motions.
Marek Bozejko, Roland Speicher (1996)
Mathematische Zeitschrift
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Marek Bozejko, Roland Speicher (1996)
Mathematische Zeitschrift
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Krysztof Burdza (1986)
Mathematische Zeitschrift
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Lawler, Gregory F. (1998)
Mathematical Physics Electronic Journal [electronic only]
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Sznitman, Alain-Sol (1998)
Documenta Mathematica
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Soucaliuc, Florin, Werner, Wendelin (2002)
Electronic Communications in Probability [electronic only]
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Nizar Demni, Dominique Lépingle (2012)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Jonathan Warren (1999)
Séminaire de probabilités de Strasbourg
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Tsirelson, Boris (1998)
Documenta Mathematica
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Lawler, Gregory F. (1995)
Mathematical Physics Electronic Journal [electronic only]
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Martin T. Barlow, Krzysztof Burdzy, Haya Kaspi, Avi Mandelbaum (2001)
Séminaire de probabilités de Strasbourg
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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.
Krzysztof Burdzy, Davar Khoshnevisan (1995)
Séminaire de probabilités de Strasbourg
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