Authors |
Title |
Journal |
Abstract |
Li-Juan Cheng, Anton Thalmaier & Feng-Yu Wang |
Hessian Estimates on Dirichlet and Neumann Eigenfunctions of Laplacian |
Int. Math. Res. Not. IMRN 2024, no. 21, 13563-13585 |
 |
Li-Juan Cheng, Anton Thalmaier & Feng-Yu Wang |
Covariant Riesz transform on differential forms for |
Calc. Var. Partial Differential Equations 62 (2023), no. 9, Art. 245, 23 pp |
 |
Li-Juan Cheng, Anton Thalmaier & Feng-Yu Wang |
Some inequalities on Riemannian manifolds linking Entropy, Fisher information, Stein discrepancy and Wasserstein distance |
Journal of Functional Analysis 285 (2023), no. 5, 109997 |
 |
Li-Juan Cheng & Anton Thalmaier |
Dimension-free Harnack inequalities for conjugate heat
equations and their applications to geometric flows |
Analysis & PDE 16 (2023), no. 7, 1589-1620 |
 |
Qin-Qian Chen, Li-Juan Cheng & Anton Thalmaier |
Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds |
Stochastics and Partial Differential Equations 11 (2023), no. 2, 685-713 |
 |
Li-Juan Cheng, Erlend Grong & Anton Thalmaier |
Functional inequalities on path space of sub-Riemannian manifolds and applications |
Nonlinear Analysis 210 (2021), 112387 |
 |
Li-Juan Cheng, Anton Thalmaier & Shao-Qin Zhang |
Exponential
contraction in Wasserstein distance on static and evolving manifolds |
Rev. Roumaine Math. Pures Appl. 66 (2021), no. 1, 107-129 |
 |
Marc Arnaudon, Anton Thalmaier & Feng-Yu Wang |
Gradient Estimates on Dirichlet and Neumann Eigenfunctions |
Int. Math. Res. Not. IMRN 2020, no. 20, 7279-7305 |
 |
Batu Güneysu & Anton Thalmaier |
Scattering theory without injectivity radius assumptions, and spectral stability for the Ricci flow |
Ann. Inst. Fourier (Grenoble) 70 (2020), no. 1, 437-456 |
 |
Fabrice Baudoin, Erlend Grong, Kazumasa Kuwada, Rob Neel & Anton Thalmaier |
Radial processes for sub-Riemannian Brownian motions and applications |
Electron. J. Probab. 25 (2020), paper no. 97, 17 pp. |
 |
Anton Thalmaier & James Thompson |
Exponential integrability and exit times of diffusions on sub-Riemannian and metric measure spaces |
Bernoulli 26 (2020), no. 3, 2202-2225 |
 |
Fabrice Baudoin, Erlend Grong, Kazumasa Kuwada & Anton Thalmaier |
Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations |
Calc. Var. Partial Differential Equations 58 (2019), no. 4, Art. 130, 38 pp |
 |
Anton Thalmaier & James Thompson |
Derivative and divergence formulae for diffusion semigroups |
Ann. Probab. 47 (2019) no. 2, 743-773 |
 |
Erlend Grong & Anton Thalmaier |
Stochastic completeness and gradient representations for sub-Riemannian manifolds |
Potential Anal. 51 (2019), no. 2, 219-254 |
 |
Li-Juan Cheng, Anton Thalmaier & James Thompson |
Functional inequalities on manifolds with non-convex boundary |
Sci. China Math. 61 (2018), no. 8, 1421-1436 |
 |
Li-Juan Cheng, Anton Thalmaier & James Thompson |
Quantitative C1-estimates by Bismut formulae |
J. Math. Anal. Appl. 465 (2018), no. 2, 803-813 |
 |
Li-Juan Cheng, Anton Thalmaier & James Thompson |
Uniform gradient estimates on manifolds with a boundary and applications |
Anal. Math. Phys. 8 (2018), no. 4, 571-588 |
 |
Li-Juan Cheng & Anton Thalmaier |
Evolution systems of measures and semigroups properties on evolving manifolds |
Electron. J. Probab. 23 (2018), paper no. 20, 27 pp. |
 |
Li-Juan Cheng & Anton Thalmaier |
Spectral gap on Riemannian path space over static and evolving manifolds |
Journal of Functional Analysis 274 (2018) 959-984 |
 |
Li-Juan Cheng & Anton Thalmaier |
Characterization of pinched Ricci curvature by functional inequalities |
Journal of Geometric Analysis 28 (2018), no. 3, 2312-2345 |
 |
Anton Thalmaier |
Geometry of subelliptic diffusions |
Geometry, Analysis and Dynamics on sub-Riemannian Manifolds, Vol. II.
EMS Series of Lectures in Mathematics, pp. 85-169. European Mathematical Society, Zürich, 2016
|
 |
Erlend Grong & Anton Thalmaier |
Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations: Part I |
Math. Zeitschrift 282 (2016) 99-130 |
 |
Erlend Grong & Anton Thalmaier |
Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations: Part II |
Math. Zeitschrift 282 (2016) 131-164 |
 |
Hongxin Guo, Robert Philipowski & Anton Thalmaier |
On gradient solitons of the Ricci-Harmonic flow |
Acta Math. Sin. 31 (2015) 1798-1804 |
 |
Robert Philipowski & Anton Thalmaier |
Heat equation in vector bundles with time-dependent metric |
J. Math. Soc. Japan 67 (2015) 1759-1769 |
 |
Hongxin Guo, Robert Philipowski & Anton Thalmaier |
Martingales on manifolds with time-dependent connection |
J. Theoret. Probab. 28 (2015) 1038-1062 |
 |
Hongxin Guo, Robert Philipowski & Anton Thalmaier |
An entropy formula for the heat equation on manifolds with time-dependent metric, application to ancient solutions |
Potential Analysis 42 (2015) 483-497 |
 |
Hongxin Guo, Robert Philipowski & Anton Thalmaier |
A stochastic approach to the harmonic map heat flow on manifolds with time-dependent Riemannian metric |
Stochastic Processes Appl. 124 (2014) 3535-3552 |
 |
Marc Arnaudon, Anton Thalmaier & Feng-Yu Wang |
Equivalent Harnack and gradient inequalities for pointwise curvature lower bound |
Bull. Sci. Math. 138 (2014) 643-655 |
 |
Hongxin Guo, Robert Philipowski & Anton Thalmaier |
A note on Chow's entropy functional
for the Gauss curvature flow |
C. R. Acad. Sci. Paris, Sér. I 351 (2013) 833-835 |
 |
Hongxin Guo, Robert Philipowski & Anton Thalmaier |
Entropy and lowest eigenvalue on evolving manifolds |
Pacific J. Math. 264 (2013) 61-82 |
 |
Marc Arnaudon & Anton Thalmaier |
Brownian motion and negative curvature |
Random Walks, Boundaries and Spectra,
Progress in Probability, Vol. 64, 145-163, Springer Basel, 2011
|
 |
Anton Thalmaier & Feng-Yu Wang |
A stochastic approach to a priori estimates and Liouville theorems for harmonic maps |
Bull. Sci. Math. 135 (2011) 816-843 |
 |
Marc Arnaudon, Koléhè Abdoulaye Coulibaly & Anton Thalmaier |
Horizontal diffusion in C¹ path space |
Séminaire de Probabilités XLIII, 73-94,
Lecture Notes in Mathematics 2006, Springer, 2011 |
 |
Marc Arnaudon & Anton Thalmaier |
The differentiation of
hypoelliptic diffusion semigroups |
Illinois J. Math. 54 (2010) 1285-1311 |
 |
Hélène Airault, Paul Malliavin & Anton Thalmaier |
Brownian measures on Jordan-Virasoro curves associated to the Weil-Petersson metric |
Journal of Functional Analysis 259 (2010) 3037-3079 |
 |
Marc Arnaudon & Anton Thalmaier |
Li-Yau type gradient estimates and Harnack inequalities by stochastic analysis |
Advanced Studies in Pure Mathematics 57 (2010) 29-48
|
 |
Shizan Fang, Dejun Luo & Anton Thalmaier |
Stochastic differential equations with coefficients in Sobolev spaces |
Journal of Functional Analysis 259 (2010) 1129-1168 |
 |
Marc Arnaudon, Anton Thalmaier & Feng-Yu Wang |
Gradient estimate and Harnack inequality on
non-compact Riemannian manifolds |
Stochastic Processes Appl. 119 (2009) 3653-3670 |
 |
Marc Arnaudon, Anton Thalmaier & Stefanie Ulsamer |
Existence of non-trivial harmonic functions
on Cartan-Hadamard manifolds of unbounded curvature |
Math. Zeitschrift 263 (2009) 369-409 |
 |
Marc Arnaudon, Koléhè Abdoulaye Coulibaly & Anton Thalmaier |
Brownian motion with respect to a metric
depending on time; definition, existence and applications to Ricci flow |
C. R. Acad. Sci. Paris 346 (2008) 773-778 |
 |
Marc Arnaudon, Bruce K. Driver & Anton Thalmaier |
Gradient estimates for positive harmonic functions
by stochastic analysis |
Stochastic Processes Appl. 117 (2007) 202-220 |
 |
Marc Arnaudon, Anton Thalmaier & Feng-Yu Wang |
Harnack inequality and heat kernel estimates
on manifolds with curvature unbounded below |
Bull. Sci. Math. 130 (2006) 223-233 |
 |
Hélène Airault, Paul Malliavin & Anton Thalmaier |
Canonical Brownian motion on the space of univalent functions and resolution of Beltrami equations by a continuity method along stochastic flows |
J. Math. Pures Appl. 83 (2004) 955-1018 |
 |
Ana Bela Cruzeiro, Paul Malliavin & Anton Thalmaier |
Geometrization of Monte-Carlo numerical analysis of an
elliptic operator: strong approximation |
C. R. Acad. Sci. Paris 338 (2004) 481-486 |
 |
Anton Thalmaier & Feng-Yu Wang |
Derivative estimates of semigroups and Riesz transforms on vector bundles |
Potential Analysis 20 (2004) 105-123 |
 |
Paul Malliavin & Anton Thalmaier |
Numerical error for SDE: Asymptotic expansion and hyperdistributions |
C. R. Acad. Sci. Paris 336 (2003) 851-856 |
 |
Marc Arnaudon, Holger Plank & Anton Thalmaier |
A Bismut type formula for the Hessian of heat semigroups |
C. R. Acad. Sci. Paris 336 (2003) 661-666 |
 |
Marc Arnaudon & Anton Thalmaier |
Yang-Mills fields and random holonomy along Brownian bridges |
Ann. Probab. 31 (2003) 769-790 |
 |
Emilio Barucci, Paul Malliavin, M.Elvira Mancino, Roberto Renò & Anton Thalmaier |
The price-volatility feedback rate: an implementable mathematical indicator
of market stability |
Mathematical Finance 13 (2003) 17-35 |
 |
Marc Arnaudon & Anton Thalmaier |
Horizontal martingales in vector bundles |
Séminaire de Probabilités XXXVI, 419-456,
Lecture Notes in Mathematics 1801, Springer, 2003 |
 |
Hélène Airault, Paul Malliavin & Anton Thalmaier |
Support of Virasoro unitarizing measures |
C. R. Acad. Sci. Paris 335 (2002) 621-626 |
 |
Marc Arnaudon, Robert O. Bauer & Anton Thalmaier |
A probabilistic approach to the Yang-Mills heat equation |
J. Math. Pures Appl. 81 (2002) 143-166 |
 |
Bruce K. Driver & Anton Thalmaier |
Heat equation derivative formulas for vector bundles |
Journal of Functional Analysis 183 (2001) 42-108 |
 |
Marc Arnaudon & Anton Thalmaier |
Bismut type differentiation of semigroups |
Prob. Theory and Math. Stat. (Vilnius, 1998), 23-32,
VSP/TEV, Utrecht and Vilnius, 1999 |
 |
Marc Arnaudon, Xue-Mei Li & Anton Thalmaier |
Manifold-valued martingales,
changes of probabilities, and smoothness of finely harmonic maps |
Ann. Inst. H. Poincaré Probab. Statist.
35 (1999) 765-792 |
 |
Anton Thalmaier |
Some remarks on the heat flow for functions and forms |
Electron. Comm. Probab.
3 (1998) 43-49 |
 |
Marc Arnaudon & Anton Thalmaier |
Complete lifts of connections and stochastic Jacobi fields |
J. Math. Pures Appl. 77 (1998) 283-315 |
 |
Marc Arnaudon & Anton Thalmaier |
Stability of stochastic differential equations in manifolds |
Séminaire de Probabilités XXXII, 188-214,
Lecture Notes in Mathematics 1686, Springer, 1998 |
 |
Anton Thalmaier & Feng-Yu Wang |
Gradient estimates for harmonic functions
on regular domains in Riemannian manifolds |
Journal of Functional Analysis 155 (1998) 109-124 |
 |
Anton Thalmaier |
On the differentiation of heat semigroups
and Poisson integrals |
Stochastics and Stochastics Reports 61 (1997) 297-321 |
 |
Anton Thalmaier |
Martingales on Riemannian manifolds
and the nonlinear heat equation |
Stochastic Analysis and Applications.
Proc. of the Fifth Gregynog Symposium.
World Scientific Press, 1996, 429-440 |
 |
Anton Thalmaier |
Brownian motion and the formation of singularities in the heat flow
for harmonic maps |
Probab. Theory Relat. Fields 105 (1996) 335-367 |
 |