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   Gradient Estimates on Dirichlet and Neumann Eigenfunctions; Thalmaier, Anton  ; in International Mathematics Research Notices (2020), 2020(20), 7279-7305 By methods of stochastic analysis on Riemannian manifolds, we derive explicit two-sided gradient estimates for Dirichlet eigenfunctions on a d-dimensional compact Riemannian manifold D with boundary ... [more ▼] By methods of stochastic analysis on Riemannian manifolds, we derive explicit two-sided gradient estimates for Dirichlet eigenfunctions on a d-dimensional compact Riemannian manifold D with boundary. Corresponding two-sided gradient estimates for Neumann eigenfunctions are derived in the second part of the paper. [less ▲] Detailed reference viewed: 566 (112 UL) Equivalent Harnack and gradient inequalities for pointwise curvature lower bound; Thalmaier, Anton ; in Bulletin des Sciences Mathématiques (2014), 138(5), 643-655 Detailed reference viewed: 312 (28 UL)The differentiation of hypoelliptic diffusion semigroups; Thalmaier, Anton in Don Burkholder: A Collection of Articles in His Honor (2012) Detailed reference viewed: 358 (40 UL)Horizontal diffusion in C¹ path space; ; Thalmaier, Anton in Séminaire de Probabilités XLIII (2011) Detailed reference viewed: 281 (12 UL)Brownian motion and negative curvature; Thalmaier, Anton in Random walks, boundaries and spectra (2011) Detailed reference viewed: 268 (6 UL)Li-Yau type gradient estimates and Harnack inequalities by stochastic analysis; Thalmaier, Anton in Probabilistic approach to geometry (2010) Detailed reference viewed: 292 (19 UL)The differentiation of hypoelliptic diffusion semigroups; Thalmaier, Anton in Illinois Journal of Mathematics (2010), 54(4), 1285-1311 Detailed reference viewed: 143 (5 UL)Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds; Thalmaier, Anton ; in Stochastic Processes & Their Applications (2009), 119(10), 3653-3670 Detailed reference viewed: 241 (21 UL)Existence of non-trivial harmonic functions on Cartan-Hadamard manifolds of unbounded curvature; Thalmaier, Anton ; in Mathematische Zeitschrift (2009), 263(2), 369-409 Detailed reference viewed: 202 (3 UL)Brownian motion with respect to a metric depending on time: definition, existence and applications to Ricci flow; ; Thalmaier, Anton in Comptes Rendus. Mathématique (2008), 346(13-14), 773-778 Detailed reference viewed: 278 (8 UL)Gradient estimates for positive harmonic functions by stochastic analysis; ; Thalmaier, Anton in Stochastic Processes & Their Applications (2007), 117(2), 202-220 Detailed reference viewed: 253 (19 UL)Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below; Thalmaier, Anton ; in Bulletin des Sciences Mathématiques (2006), 130(3), 223-233 Detailed reference viewed: 259 (8 UL)A Bismut type formula for the Hessian of heat semigroups; ; Thalmaier, Anton in Comptes Rendus. Mathématique (2003), 336(8), 661-666 Detailed reference viewed: 234 (5 UL)Yang-Mills fields and random holonomy along Brownian bridges; Thalmaier, Anton in Annals of Probability (2003), 31(2), 769-790 Detailed reference viewed: 211 (8 UL)Horizontal martingales in vector bundles; Thalmaier, Anton in Séminaire de Probabilités XXXVI (2003) Detailed reference viewed: 207 (7 UL)A probabilistic approach to the Yang-Mills heat equation; ; Thalmaier, Anton in Journal de Mathématiques Pures et Appliquées (2002), 81(2), 143-166 Detailed reference viewed: 207 (2 UL)Bismut type differentiation of semigroups.; Thalmaier, Anton in Probability theory and mathematical statistics. (1999) Detailed reference viewed: 148 (8 UL)Manifold-valued martingales, changes of probabilities, and smoothness of finely harmonic maps; ; Thalmaier, Anton in Annales de l'Institut Henri Poincare (B) Probability & Statistics (1999), 35(6), 765-791 Detailed reference viewed: 207 (4 UL)Stability of stochastic differential equations in manifolds; Thalmaier, Anton in Séminaire de Probabilités, XXXII (1998) Detailed reference viewed: 226 (8 UL)Complete lifts of connections and stochastic Jacobi fields; Thalmaier, Anton in Journal de Mathématiques Pures et Appliquées (1998), 77(3), 283-315 Detailed reference viewed: 222 (3 UL) |
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