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

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

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)

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

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

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

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

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

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

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

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...

Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | Mathematics | Partial Differential Equations | MATHEMATICS | SUPPORT THEOREM | MATHEMATICS, APPLIED | SEMIGROUP THEORY | JUMP-PROCESSES | REGULARITY | Finite element method | Markov processes | Usage | Stochastic analysis | Innovations | Poisson processes | Studies | Partial differential equations | Probability

Ordinary Differential Equations | Functional Analysis | Analysis | Difference and Functional Equations | Mathematics, general | Mathematics | Partial Differential Equations | MATHEMATICS | SUPPORT THEOREM | MATHEMATICS, APPLIED | SEMIGROUP THEORY | JUMP-PROCESSES | REGULARITY | Finite element method | Markov processes | Usage | Stochastic analysis | Innovations | Poisson processes | Studies | Partial differential equations | Probability

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

Symmetric matrices | Stochastic processes | Estimation | Calculus | Generators | Random variables | Mathematical model

Conference Proceeding

15.
Full Text
Malliavin Calculus of Bismut Type for Fractional Powers of Laplacians in Semi-Group Theory

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

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

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

We give two stochastic diffeologies on the free loop space which allow us to define stochastic equivariant cohomology theories in the Chen-Souriau sense and to...

Mathematical manifolds | Brownian motion | Tangents | Determinism | Approximation | Algebra | Mathematical integrals | Vector fields | Brownian bridge | Cyclic cohomology | Equivariant cohomology | INDEX THEOREM | HODGE-KODAIRA DECOMPOSITION | CALCULUS | LOOP SPACE | STATISTICS & PROBABILITY | equivariant cohomology | BUNDLE | DIFFERENTIAL FORMS | cyclic cohomology | CHEN-SOURIAU | BROWNIAN BRIDGE | HOMOLOGY | Mathematics - Probability | 55N91 | 58J65 | 46L80

Mathematical manifolds | Brownian motion | Tangents | Determinism | Approximation | Algebra | Mathematical integrals | Vector fields | Brownian bridge | Cyclic cohomology | Equivariant cohomology | INDEX THEOREM | HODGE-KODAIRA DECOMPOSITION | CALCULUS | LOOP SPACE | STATISTICS & PROBABILITY | equivariant cohomology | BUNDLE | DIFFERENTIAL FORMS | cyclic cohomology | CHEN-SOURIAU | BROWNIAN BRIDGE | HOMOLOGY | Mathematics - Probability | 55N91 | 58J65 | 46L80

Journal Article

Applied mathematics (Irvine, Calif.), ISSN 2152-7385, 2012, Volume 3, Issue 12, pp. 2063 - 2070

Journal Article

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