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Anton Thalmaier
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| Adresse postale |
Université du Luxembourg 2, Avenue de l'Université L-4365 Esch-sur-Alzette |
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To personal homepage: http://math.uni.lu/thalmaier
About Anton Thalmaier's research group
Last updated on: mercredi 01 février 2017
Sous presse
Dimension-free Harnack inequalities for conjugate heat equations and their applications to geometric flows;
in Analysis and PDE (in press)
2023
Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds; ;
in Stochastic Partial Differential Equations: Analysis and Computations (2023), 11(2), 685-713
Some inequalities on Riemannian manifolds linking Entropy, Fisher information, Stein discrepancy and Wasserstein distance; ;
in Journal of Functional Analysis (2023), 285(5), 109997
2022
Variations of the sub-Riemannian distance on Sasakian manifolds with applications to coupling; ; ;
E-print/Working paper (2022)
Hessian estimates for Dirichlet and Neumann eigenfunctions of Laplacian;
E-print/Working paper (2022)
Second Order Bismut formulae and applications to Neumann semigroups on manifolds; ;
E-print/Working paper (2022)
2021
Hessian heat kernel estimates and Calderón-Zygmund inequalities on complete Riemannian manifolds; ;
E-print/Working paper (2021)
Functional inequalities on path space of sub-Riemannian manifolds and applications; ;
in Nonlinear Analysis: Theory, Methods and Applications (2021), 210(112387), 1-30
Exponential contraction in Wasserstein distance on static and evolving manifolds; ;
in Revue Roumaine de Mathématiques Pures et Appliquées (2021), 66(1), 107-129
2020
Gradient Estimates on Dirichlet and Neumann Eigenfunctions; ;
in International Mathematics Research Notices (2020), 2020(20), 7279-7305
Radial processes for sub-Riemannian Brownian motions and applications; ; ; ;
in Electronic Journal of Probability (2020), 25(paper no. 97), 1-17
Scattering theory without injectivity radius assumptions, and spectral stability for the Ricci flow;
in Annales de l'Institut Fourier (2020), 70(1), 437-456
Exponential integrability and exit times of diffusions on sub-Riemannian and metric measure spaces;
in Bernoulli (2020), 26(3), 2202-2225
2019
Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations; ; ;
in Calculus of Variations and Partial Differential Equations (2019), 58:130(4), 1-38
Stochastic completeness and gradient representations for sub-Riemannian manifolds;
in Potential Analysis (2019), 51(2), 219-254
Derivative and divergence formulae for diffusion semigroups;
in Annals of Probability (2019), 47(2), 743-773
2018
Evolution systems of measures and semigroup properties on evolving manifolds;
in Electronic Journal of Probability (2018), 23(20), 1-27
Spectral gap on Riemannian path space over static and evolving manifolds;
in Journal of Functional Analysis (2018), 274(4), 959-984
Characterization of pinched Ricci curvature by functional inequalities;
in Journal of Geometric Analysis (2018), 28(3), 2312-2345
Uniform gradient estimates on manifolds with a boundary and applications; ;
in Analysis and Mathematical Physics (2018), 8(4), 571-588
Functional inequalities on manifolds with non-convex boundary; ;
in Science China Mathematics (2018), 61(8), 1421-1436
Quantitative C1-estimates by Bismut formulae; ;
in Journal of Mathematical Analysis and Applications (2018), 465(2), 803-813
2016
Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations: Part II;
in Mathematische Zeitschrift (2016), 282(1), 131-164
Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations: Part I;
in Mathematische Zeitschrift (2016), 282(1), 99-130
Geometry of subelliptic diffusionsin Barilari, Davide; Boscain, Ugo; Sigalotti, Mario (Eds.) Geometry, Analysis and Dynamics on sub-Riemannian Manifolds. Volume II (2016)
2015
On gradient solitons of the Ricci-Harmonic flow; ;
in Acta Mathematica Sinica (2015), 31(11), 1798-1804
Martingales on manifolds with time-dependent connection; ;
in Journal of Theoretical Probability (2015), 28(3), 1038-1062
An entropy formula for the heat equation on manifolds with time-dependent metric, application to ancient solutions; ;
in Potential Analysis (2015), 42(2), 483-497
Heat equation in vector bundles with time-dependent metric;
in Journal of the Mathematical Society of Japan (2015), 67(4), 1759-1769
2014
Equivalent Harnack and gradient inequalities for pointwise curvature lower bound; ;
in Bulletin des Sciences Mathématiques (2014), 138(5), 643-655
A stochastic approach to the harmonic map heat flow on manifolds with time-dependent Riemannian metric; ;
in Stochastic Processes and Their Applications (2014), 124(11), 3535-3552
2013
A note on Chow's entropy functional for the Gauss curvature flow; ;
in Comptes Rendus de l'Académie des Sciences. Série I. Mathématique (2013), 351(21-22), 833-835
Entropy and lowest eigenvalue on evolving manifolds; ;
in Pacific Journal of Mathematics (2013), 264(1), 61-81
2012
The differentiation of hypoelliptic diffusion semigroups;
in Don Burkholder: A Collection of Articles in His Honor (2012)
2011
Paul Malliavin (10 September 1925 - 3 June 2010)in European Mathematical Society. Newsletter (2011), 81
A stochastic approach to a priori estimates and Liouville theorems for harmonic maps;
in Bulletin des Sciences Mathématiques (2011), 135(6-7), 816-843
2010
Brownian measures on Jordan-Virasoro curves associated to the Weil-Petersson metric; ;
in Journal of Functional Analysis (2010), 259(12), 3037-3079
The differentiation of hypoelliptic diffusion semigroups;
in Illinois Journal of Mathematics (2010), 54(4), 1285-1311
Li-Yau type gradient estimates and Harnack inequalities by stochastic analysis;
in Probabilistic approach to geometry (2010)
Stochastic differential equations with coefficients in Sobolev spaces; ;
in Journal of Functional Analysis (2010), 259(5), 1129-1168
2009
Existence of non-trivial harmonic functions on Cartan-Hadamard manifolds of unbounded curvature; ;
in Mathematische Zeitschrift (2009), 263(2), 369-409
Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds; ;
in Stochastic Processes and Their Applications (2009), 119(10), 3653-3670
2008
Brownian motion with respect to a metric depending on time: definition, existence and applications to Ricci flow; ;
in Comptes Rendus. Mathématique (2008), 346(13-14), 773-778
2007
Gradient estimates for positive harmonic functions by stochastic analysis; ;
in Stochastic Processes and Their Applications (2007), 117(2), 202-220
2006
Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below; ;
in Bulletin des Sciences Mathématiques (2006), 130(3), 223-233
2004
Canonical Brownian motion on the space of univalent functions and resolution of Beltrami equations by a continuity method along stochastic flows; ;
in Journal de Mathématiques Pures et Appliquées (2004), 83(8), 955-1018
Geometrization of Monte-Carlo numerical analysis of an elliptic operator: strong approximation; ;
in Comptes Rendus. Mathématique (2004), 338(6), 481-486
Derivative estimates of semigroups and Riesz transforms on vector bundles;
in Potential Analysis (2004), 20(2), 105-123
2003
A Bismut type formula for the Hessian of heat semigroups; ;
in Comptes Rendus. Mathématique (2003), 336(8), 661-666
Yang-Mills fields and random holonomy along Brownian bridges;
in Annals of Probability (2003), 31(2), 769-790
The price-volatility feedback rate: an implementable mathematical indicator of market stability; ; ; ;
in Math. Finance (2003), 13(1), 17-35
Numerical error for SDE: asymptotic expansion and hyperdistributions;
in Comptes Rendus. Mathématique (2003), 336(10), 851-856
2002
A probabilistic approach to the Yang-Mills heat equation; ;
in Journal de Mathématiques Pures et Appliquées (2002), 81(2), 143-166
2001
Heat equation derivative formulas for vector bundles;
in Journal of Functional Analysis (2001), 183(1), 42-108
1999
Manifold-valued martingales, changes of probabilities, and smoothness of finely harmonic maps; ;
in Annales de l'Institut Henri Poincare (B) Probability & Statistics (1999), 35(6), 765-791
Bismut type differentiation of semigroups.;
in Probability theory and mathematical statistics. (1999)
1998
Stability of stochastic differential equations in manifolds;
in Séminaire de Probabilités, XXXII (1998)
Complete lifts of connections and stochastic Jacobi fields;
in Journal de Mathématiques Pures et Appliquées (1998), 77(3), 283-315
Some remarks on the heat flow for functions and formsin Electronic Communications in Probability (1998), 3
Gradient estimates for harmonic functions on regular domains in Riemannian manifolds;
in Journal of Functional Analysis (1998), 155(1), 109-124
1997
On the differentiation of heat semigroups and Poisson integralsin Stochastics and Stochastics Reports (1997), 61(3-4), 297-321
1996
Martingales on Riemannian manifolds and the nonlinear heat equationin Stochastic analysis and applications (1996)
Brownian motion and the formation of singularities in the heat flow for harmonic mapsin Probability Theory and Related Fields (1996), 105(3), 335-367
1994
1989
Asymptotik Brownscher Bewegungen im Zusammenhang mit geometrischen und potentialtheoretischen Eigenschaften Riemannscher Mannigfaltigkeiten negativer KrümmungBook published by Universität Regensburg Fachbereich Mathematik (1989)
