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pro vyhledávání: '"Schott, Ren��"'
We present a new probabilistic analysis of distributed algorithms. Our approach relies on the theory of quasi-stationary distributions (QSD) recently developped by Champagnat and Villemonais. We give properties on the deadlock time and the distributi
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d1a329cdc18758cf76537722ac07914c
http://arxiv.org/abs/1802.02644
http://arxiv.org/abs/1802.02644
Autor:
Deya, Aur��lien, Schott, Ren��
We study the issue of integration with respect to the non-commutative fractional Brownian motion, that is the analog of the standard fractional Brownian in a non-commutative probability setting.When the Hurst index $H$ of the process is stricly large
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9908f8caf224210508a2b1762d37ce68
Autor:
Feinsilver, Philip, Schott, Ren��
Publikováno v:
Bulletin of Mathematical Sciences, Vol 10, Iss 3, Pp 1950009-1-1950009-18 (2020)
We put together the ingredients for an efficient operator calculus based on Krawtchouk polynomials, including Krawtchouk transforms and corresponding convolution structure which provide an inherently discrete alternative to Fourier analysis. In this
Autor:
Deya, Aur��lien, Schott, Ren��
Following the approach and the terminology introduced in [A. Deya and R. Schott, On the rough paths approach to non-commutative stochastic calculus, J. Funct. Anal., 2013], we construct a product L{��}vy area above the $q$-Brownian motion (for $q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bad49008495880e7809232319b3cadb3
Autor:
Deya, Aur��lien, Schott, Ren��
We study different possibilities to apply the principles of rough paths theory in a non-commutative probability setting. First, we extend previous results obtained by Capitaine, Donati-Martin and Victoir in Lyons' original formulation of rough paths
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51a64b1bdc5de40d61af69d51e5cac1d
Autor:
Feinsilver, Philip, Schott, Ren��
Krawtchouk polynomials appear in a variety of contexts, most notably as orthogonal polynomials and in coding theory via the Krawtchouk transform. We present an operator calculus formulation of the Krawtchouk transform that is suitable for computer im
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b582292e9041f737fa6b82a821eaf50f