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Symmetry, ISSN 2073-8994, 03/2011, Volume 3, Issue 1, pp. 72 - 83
...  Symmetry 2011, 3, 72-83; doi:10.3390/sym3010072 Article Remi Leandre Institut de Mathmatiques de Bourgogne, Universit de Bourgogne, 21078, Dijon Cedex... 
Haar distribution | Path group | Heat semigroup | heat semigroup | OPERATORS | MULTIDISCIPLINARY SCIENCES | path group
Journal Article
Journal of Physics: Conference Series, ISSN 1742-6588, 2012, Volume 343, Issue 1, pp. 1 - 4
We consider a simple solution of a Yang-Baxter equation on loop algebra and deduce from it a Sklyanin Poisson structure which operates continuously on a... 
Algebra | Stochasticity | Metric space | Mathematical analysis | Lie groups
Conference Proceeding
Journal of Pseudo-Differential Operators and Applications, ISSN 1662-9981, 6/2018, Volume 9, Issue 2, pp. 419 - 430
... on a Lie group Rémi Léandre 1 Received: 14 October 2016 / Revised: 15 January 2017 / Accepted: 18 January 2017 / Published online: 9 February 2017 © Springer... 
Operator Theory | Algebra | Functional Analysis | Analysis | Heat kernel | Elliptic operator of big order | Semi-group | Mathematics | Applications of Mathematics | Malliavin calculus | Partial Differential Equations | MATHEMATICS | MATHEMATICS, APPLIED | Calculus | Research | Mathematical research | Mappings (Mathematics)
Journal Article
WSEAS Transactions on Mathematics, ISSN 1109-2769, 05/2008, Volume 7, Issue 5, pp. 244 - 253
Journal Article
Journal of Physics: Conference Series, ISSN 1742-6588, 09/2015, Volume 633, Issue 1
Conference Proceeding
Axioms, ISSN 2075-1680, 06/2012, Volume 1, Issue 1, pp. 4 - 8
  We give an Itô formula associated to a non-linear semi-group associated to a m-accretive operator. 
Non-linear semi-group | Itô formula | non-linear semi-group
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 4/2008, Volume 258, Issue 4, pp. 893 - 914
...Math. Z. (2008) 258:893–914 DOI 10.1007/s00209-007-0204-6 Mathematische Zeitschrift Positivity theorem in semi-group theory Rémi Léandre Received: 31 January... 
Mathematics, general | Mathematics | MATHEMATICS | MALLIAVIN CALCULUS
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 02/2007, Volume 48, Issue 2, pp. 023509 - 023509-8
...Stochastic Moyal product on the Wiener space Giuseppe Dito a and Rémi Léandre b Institut de Mathématiques de Bourgogne, UMR CNRS 5584, Université de Bourgogne... 
PHYSICS, MATHEMATICAL | HILBERT SPACE | STOCHASTIC PROCESSES | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | QUANTIZATION | QUANTUM MECHANICS | DEFORMATION | FUNCTIONALS
Journal Article
Symmetry, ISSN 2073-8994, 09/2009, Volume 1, Issue 1, pp. 55 - 63
We define a Poisson structure on the Nualart-Pardoux test algebra associated to the path space of a finite dimensional Lie algebra. 
Malliavin calculus | Poisson structure | Malliavin Calculus | QUANTIZATION | MULTIDISCIPLINARY SCIENCES
Journal Article
Journal of Physics: Conference Series, ISSN 1742-6588, 2014, Volume 490, Issue 1, pp. 1 - 6
We give an interaction between a drift and a fractional power of a degenerated Laplacian such that the involved semi-group has a density by using the Malliavin... 
Drift | Calculus | Boundaries | Mathematical analysis | Density
Conference Proceeding
Applied Mathematics, ISSN 2152-7385, 12/2012, Volume 3, Issue 12A, pp. 2063 - 2063
We give a proof in semi-group theory based on the Malliavin Calculus of Bismut type in semi-group theory and Wentzel-Freidlin estimates in semi-group of our... 
Mathematical analysis | Proving | Calculus | Estimates
Journal Article
Advances in Difference Equations, ISSN 1687-1847, 01/2011, Volume 2011, Issue 1, pp. 803508 - 803508
: We translate in semigroup theory our result (Léandre, 1990) giving a necessary condition so that the law of a Markov process with jumps could have a strictly... 
Journal Article
Advances in Difference Equations, ISSN 1687-1839, 12/2011, Volume 2011, Issue 1, pp. 1 - 15
Journal Article
2016 International Conference on Control, Decision and Information Technologies (CoDIT), 04/2016, pp. 114 - 116
We give Varadhan type estimates for the density of an operator of order four on a Lie group, with the normalisation of W.K.B. analysis. We use for that the... 
Symmetric matrices | Stochastic processes | Estimation | Calculus | Generators | Random variables | Mathematical model
Conference Proceeding
International journal of differential equations, ISSN 1687-9643, 9/2011, Volume 2011, pp. 1 - 26
We translate into the language of semi-group theory Bismut's Calculus on boundary processes (Bismut (1983), Lèandre (1989)) which gives regularity result on... 
Journal Article
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 03/2012, Volume 8, p. 011
We make a deformation quantization by Moyal star-product on a space of functions endowed with the normalized Wick product and where Stratonovich chaos are well... 
White noise analysis | Stratonovich chaos | Connes algebra | Moyal product | PHYSICS, MATHEMATICAL | FIELD-THEORY | white noise analysis
Journal Article
Cubo (Temuco, Chile), ISSN 0719-0646, 03/2013, Volume 15, Issue 1, pp. 113 - 117
Journal Article
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 2007, Volume 3, p. 027
We define and present an example of a deformation quantization product on a Hida space of test functions endowed with a Wick product. 
White noise analysis | Moyal product | PHYSICS, MATHEMATICAL | white noise analysis
Journal Article
The Annals of Probability, ISSN 0091-1798, 7/2005, Volume 33, Issue 4, pp. 1544 - 1572
Journal Article
Applied mathematics (Irvine, Calif.), ISSN 2152-7385, 2012, Volume 3, Issue 12, pp. 2063 - 2070
Journal Article
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