Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms
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[1] Elton P. Hsu. Stochastic analysis on manifolds , 2002 .
[2] Feng-Yu Wang,et al. Quasi-regular Dirichlet forms on Riemannian path and loop spaces , 2008 .
[3] The Log-Sobolev Inequality on Loop Space over a Compact Riemannian Manifold☆ , 1998 .
[4] Differential calculus on path and loop spaces. I: Logarithmic Sobolev inequalities on path spaces , 1995 .
[5] Remarks on spectral gaps on the Riemannian path space , 2015, 1508.07657.
[6] 王 风雨. Functional inequalities, Markov semigroups and spectral theory , 2005 .
[7] Thomas A. Laetsch. An Approximation to Wiener Measure and Quantization of the Hamiltonian on Manifolds with Non-positive Sectional Curvature , 2012, 1210.3524.
[8] B. O'neill. Semi-Riemannian Geometry With Applications to Relativity , 1983 .
[9] Martin Hairer,et al. The motion of a random string , 2016, 1605.02192.
[10] On diffusive motion of closed curves , 1988 .
[11] Elton P. Hsu. Logarithmic Sobolev Inequalities on Path Spaces Over Riemannian Manifolds , 1997 .
[12] Martin Hairer,et al. An analytic BPHZ theorem for regularity structures , 2016, 1612.08138.
[13] Rongchan Zhu,et al. Restricted Markov uniqueness for the stochastic quantization of $P(\Phi)_2$ and its applications , 2015 .
[14] M. Röckner,et al. Ergodicity for the Stochastic Quantization Problems on the 2D-Torus , 2016, 1606.02102.
[15] Feng-Yu Wang,et al. Analysis on free Riemannian path spaces , 2005 .
[16] Characterizations of the Upper Bound of Bakry–Emery Curvature , 2016, The Journal of Geometric Analysis.
[17] Xue-Mei Li,et al. A concrete estimate for the weak Poincaré inequality on loop space , 2009, 0910.4846.
[18] Quasi-invariance of the Wiener measure on the path space over a complete Riemannian manifold , 1995 .
[19] A. Kolesnikov. Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures , 2006 .
[20] Xin Chen,et al. Functional inequalities on path space over a non-compact Riemannian manifold , 2013, 1307.4482.
[21] Feng-Yu Wang. Identifying Constant Curvature Manifolds, Einstein Manifolds, and Ricci Parallel Manifolds , 2017, The Journal of Geometric Analysis.
[22] Feng-Yu Wang. Weak Poincaré inequalities on path spaces , 2004 .
[23] J. Norris. Ornstein-Uhlenbeck processes indexed by the circle , 1998 .
[24] Elton P. Hsu. Analysis on path and loop spaces , 1999 .
[25] Nicolas Perkowski,et al. PARACONTROLLED DISTRIBUTIONS AND SINGULAR PDES , 2012, Forum of Mathematics, Pi.
[26] B. Driver. A Cameron-Martin type quasi-invariance theorem for pinned Brownian motion on a compact Riemannian manifold , 1994 .
[27] On integral transformations associated with a certain Lagrangian-as a prototype of quantization , 1985 .
[28] I. Chavel. Riemannian Geometry: Subject Index , 2006 .
[29] M. Röckner,et al. Construction of a rotational invariant diffusion on the free loop space , 1993 .
[30] Elton P. Hsu,et al. Martingale Representation and a Simple Proof of Logarithmic Sobolev Inequalities on Path Spaces , 1997 .
[31] Vector fields on mapping spaces and related Dirichlet forms and diffusions , 1997 .
[32] A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold , 1992 .
[33] A stochastic partial differential equation with values in a manifold , 1992 .
[34] T. Zhukovskaya,et al. Functional Inequalities , 2021, Inequalities in Analysis and Probability.
[35] Logarithmic Sobolev Inequalities of Diffusions for the L2 Metric , 2006 .
[36] Martin Hairer,et al. A theory of regularity structures , 2013, 1303.5113.
[37] Symmetric Ornstein-Uhlenbeck semigroups and their generators , 2002, math/0205315.
[38] J. Löbus. A class of processes on the path space over a compact Riemannian manifold with unbounded diffusion , 2004 .
[39] G. Prato. Kolmogorov Equations For Stochastic Pdes , 2004 .
[40] M. Röckner,et al. Stochastic differential equations in infinite dimensions: solutions via Dirichlet forms , 1991 .
[41] Feng-Yu Wang. Analysis for Diffusion Processes on Riemannian Manifolds , 2013 .
[42] QUASI-REGULAR DIRICHLET FORMS ON FREE RIEMANNIAN PATH SPACES , 2009 .
[43] Zhi-Ming Ma,et al. Construction of diffusions on configuration spaces , 2000 .
[44] FINITE DIMENSIONAL APPROXIMATIONS TO WIENER MEASURE AND PATH INTEGRAL FORMULAS ON MANIFOLDS , 1998, math/9807098.
[45] Anton Thalmaier,et al. Characterization of Pinched Ricci Curvature by Functional Inequalities , 2016, 1611.02160.
[46] Martin Hairer,et al. Algebraic renormalisation of regularity structures , 2016, Inventiones mathematicae.