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Generalized master equations and the telegrapher's equation

Author

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  • Hongler, M.-O.
  • Streit, L.

Abstract

The possibility of using generalized telegrapher's equations (GTEs) to describe the time evolution of probability densities of non-Markovian stochastic processes is consedered. The solutions of hyperbolic equations of the type of GTE being generally not positive definite, we derive conditions for which this global property if fulfilled.

Suggested Citation

  • Hongler, M.-O. & Streit, L., 1990. "Generalized master equations and the telegrapher's equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 165(2), pages 196-206.
    • Handle: RePEc:eee:phsmap:v:165:y:1990:i:2:p:196-206
    DOI: 10.1016/0378-4371(90)90191-T
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    References listed on IDEAS

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    1. Hongler, M.-O., 1986. "Supersymmetry and signal propagation in inhomogeneous transmission lines," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(1), pages 407-416.
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    Cited by:

    1. Filliger, Roger & Hongler, Max-Olivier, 2004. "Supersymmetry in random two-velocity processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 332(C), pages 141-150.

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    1. Filliger, Roger & Hongler, Max-Olivier, 2004. "Supersymmetry in random two-velocity processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 332(C), pages 141-150.

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