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Path Integrals for Diffusion Processes in Riemannian Spaces

1978
3 pages
Published in:
  • Phys.Lett.A 69 (1978) 241-243
DOI:
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19781979198001
Abstract: (Elsevier)
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.
  • DIFFUSION
  • FIELD THEORY: PATH INTEGRAL
  • FUNCTIONAL ANALYSIS
  • STATISTICS: PHASE SPACE
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    • H. Haken
      • Z.Phys.B 24 (1976) 321
  • [2]
    • H. Dekker
      • Phys.Lett.A 67 (1978) 90
  • [3]
    • H. Dekker
      • Physica A 85 (1976) 363
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    • H. Dekker
      • Physica A 85 (1976) 598
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      • Z.Phys.B 26 (1977) 281
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    • U. Weiss
      • Z.Phys.B 30 (1978) 429
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    to be published
    • H. Dekker
      • Physica A (1978) to be published
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    • H. Leschke
      ,
    • M. Schmutz
      • Z.Phys.B 27 (1977) 85
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    • H. Dekker
      • Phys.Lett.A 65 (1978) 388
  • [10]
    preprint (July)
    • H. Dekker
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    Gravitation and cosmology

    • S. Weinberg
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    • R.L. Stratonovich
      • Selected Transl.Math.Statist.Prob. 10 (1971) 273
  • [13]
    • H. Dekker
      • Physica A 84 (1976) 205