Constructing some measures related to diffusions in Riemannian manifolds

被引：0

作者：

Smolyanov, OG ^{[1
]}

von Weizsäcker, H ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119899, Russia

来源：

CONSTANTIN CARATHEODORY IN HIS ORIGINS, PROCEEDINGS | 2001年

关键词：

D O I：

暂无

中图分类号：

N09 [自然科学史]; B [哲学、宗教];

学科分类号：

01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;

摘要：

A new approach to constructing diffusions on Riemannian manifolds based On the notion of surface measure is considered. One of motivations of this approach is to develop simple methods of obtaining Feynman-Kac type formulas for evolution equations on Riemannian manifolds and Cameron-Martin-Girsanov-Maruyama-Ramer type formulas for measures, on some spaces of functions taking values in Riemannian manifolds, generated by diffusions. Some applications to defining Onsager-Machlup functionals for such measures are also possible.

引用

页码：27 / 35

页数：9

共 50 条

[21] Wiener surface measures on trajectories in Riemannian manifolds
Smolyanov, OG
von Weizsäcker, H
Wittich, O
Sidorova, NA
DOKLADY MATHEMATICS, 2002, 65 (02) : 239 - 244
[22] ASYMPTOTIC QUANTIZATION FOR PROBABILITY MEASURES ON RIEMANNIAN MANIFOLDS
Iacobelli, Mikaela
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2016, 22 (03) : 770 - 785
[23] Semiclassical measures and the Schrodinger flow on Riemannian manifolds
Macia, Fabricio
NONLINEARITY, 2009, 22 (05) : 1003 - 1020
[24] Curvature measures of pseudo-Riemannian manifolds
Bernig, Andreas
Faifman, Dmitry
Solanes, Gil
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2022, 2022 (788): : 77 - 127
[25] A revisit to "On BMO and Carleson measures on Riemannian manifolds"
Li, Bo
Li, Jinxia
Lin, Qingze
Ma, Bolin
Shen, Tianjun
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2023,
[26] On some topologic invariants of Riemannian manifolds
Pontrjagin, J
COMPTES RENDUS DE L ACADEMIE DES SCIENCES DE L URSS, 1944, 43 : 91 - 94
[27] SOME SEMISYMMETRY CONDITIONS ON RIEMANNIAN MANIFOLDS
Yildiz, Ahmet
Cetinkaya, Azime
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2014, 29 (01): : 1 - 11
[28] RIEMANNIAN MANIFOLDS ADMITTING SOME GEODESIC
KUROGI, T
PROCEEDINGS OF THE JAPAN ACADEMY, 1974, 50 (02): : 124 - 126
[29] Smoothing Effects and Extinction in Finite Time for Fractional Fast Diffusions on Riemannian Manifolds
Berchio, Elvise
Bonforte, Matteo
Grillo, Gabriele
JOURNAL OF GEOMETRIC ANALYSIS, 2025, 35 (05)
[30] CONSTRUCTION OF DIFFUSIONS ON PATH AND LOOP-SPACES OF COMPACT RIEMANNIAN-MANIFOLDS
DRIVER, BK
ROCKNER, M
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1992, 315 (05): : 603 - 608

← 1 2 3 4 5 →