Recent Publications

Authors	Title	Journal	Abstract
Anton Thalmaier	Brownian motion and the formation of singularities in the heat flow for harmonic maps	Probab. Theory Relat. Fields 105 (1996) 335-367
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	On the differentiation of heat semigroups and Poisson integrals	Stochastics and Stochastics Reports 61 (1997) 297-321
Anton Thalmaier & Feng-Yu Wang	Gradient estimates for harmonic functions on regular domains in Riemannian manifolds	Journal of Functional Analysis 155 (1998) 109-124
Marc Arnaudon & Anton Thalmaier	Stability of stochastic differential equations in manifolds	Séminaire de Probabilités XXXII, 188-214, Lecture Notes in Mathematics 1686, Springer, 1998
Marc Arnaudon & Anton Thalmaier	Complete lifts of connections and stochastic Jacobi fields	J. Math. Pures Appl. 77 (1998) 283-315
Anton Thalmaier	Some remarks on the heat flow for functions and forms	Electron. Comm. Probab. 3 (1998) 43-49
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
Marc Arnaudon & Anton Thalmaier	Bismut type differentiation of semigroups	Prob. Theory and Math. Stat. (Vilnius, 1998), 23-32,  VSP/TEV, Utrecht and Vilnius, 1999
Bruce K. Driver & Anton Thalmaier	Heat equation derivative formulas for vector bundles	Journal of Functional Analysis 183 (2001) 42-108
Marc Arnaudon, Robert O. Bauer & Anton Thalmaier	A probabilistic approach to the Yang-Mills heat equation	J. Math. Pures Appl. 81 (2002) 143-166
Hélène Airault, Paul Malliavin & Anton Thalmaier	Support of Virasoro unitarizing measures	C. R. Acad. Sci. Paris  335 (2002) 621-626
Marc Arnaudon & Anton Thalmaier	Horizontal martingales in vector bundles	Séminaire de Probabilités XXXVI, 419--456, Lecture Notes in Mathematics 1801, Springer, 2003
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	Yang-Mills fields and random holonomy along Brownian bridges	Ann. Probab. 31 (2003) 769-790
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
Paul Malliavin & Anton Thalmaier	Numerical error for SDE: Asymptotic expansion and hyperdistributions	C. R. Acad. Sci. Paris  336 (2003) 851-856
Anton Thalmaier & Feng-Yu Wang	Derivative estimates of semigroups and Riesz transforms on vector bundles	Potential Analysis  20 (2004) 105-123
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
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
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
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, 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, 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, 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	Li-Yau Type Gradient Estimates and Harnack Inequalities by Stochastic Analysis	Advanced Studies in Pure Mathematics 57 (2010) 29-48
Marc Arnaudon, Koléhè Abdoulaye Coulibaly & Anton Thalmaier	Horizontal diffusion in C¹ path space	Séminaire de Probabilités, Lecture Notes in Mathematics, Springer (2010)
Shizan Fang, Dejun Luo & Anton Thalmaier	Stochastic differential equations with coefficients in Sobolev spaces	Journal of Functional Analysis (2010)
Marc Arnaudon & Anton Thalmaier	Brownian motion and negative curvature	Workshop on Boundaries (Graz, 2009), Birkhäuser, 2010

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