PATH INTEGRALS FOR DIFFUSION PROCESSES IN RIEMANNIAN SPACES

被引：10

作者：

DEKKER, H

机构：

[1] Physics Laboratory TNO, Den Haag

来源：

PHYSICS LETTERS A | 1978年 / 69卷 / 04期

关键词：

D O I：

10.1016/0375-9601(78)90173-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Onsager-Machlup lagrangian for general continuous Markov processes in curved spaces will be derived invoking (i) continuous and differentiable trajectories, (ii) a Fourier series analysis of stochastic paths and (iii) the principle of general covariance. No discretization rule will be required in order to put the continuous action on a lattice. © 1978.

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页码：241 / 243

页数：3

相关论文

共 12 条

[1] FUNCTIONAL INTEGRAL FOR GENERALIZED WIENER PROCESSES AND NONEQUILIBRIUM PHENOMENA [J].

DEKKER, H .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1976, 85 (03) :598-606

[2] DIFFUSION PROCESSES AND THEIR PATHS [J].

DEKKER, H .

PHYSICS LETTERS A, 1978, 67 (02) :90-92

[3] PROOF OF PATH INTEGRAL-REPRESENTATION OF NON-LINEAR FOKKER-PLANCK EQUATION BY MEANS OF FOURIER-SERIES [J].

DEKKER, H .

PHYSICS LETTERS A, 1978, 65 (5-6) :388-390

[4] TIME-LOCAL GAUSSIAN PROCESSES, PATH INTEGRALS AND NONEQUILIBRIUM NONLINEAR DIFFUSION [J].

DEKKER, H .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1976, 85 (02) :363-373

[5] FEYNMAN PROOF OF EXACT RELATION BETWEEN A CLASS OF PATH SUMS AND GENERAL NONLINEAR FOKKER-PLANCK EQUATION [J].

DEKKER, H .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1976, 84 (01) :205-211

[6]

DEKKER H, 1978, PREPRINT

[7]

DEKKER H, UNPUBLISHED

[8]

HAKEN H, 1976, Z PHYS B CON MAT, V24, P321, DOI 10.1007/BF01360904

[9] OPERATOR ORDERINGS AND FUNCTIONAL FORMULATIONS OF QUANTUM AND STOCHASTIC DYNAMICS [J].

LESCHKE, H ;

SCHMUTZ, M .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1977, 27 (01) :85-94

[10]

STRATONOVICH RL, 1971, SEL TRANSL MATH STAT, V10, P273