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On first hitting times in stochastic mechanics

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Stochastic Mechanics and Stochastic Processes

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1325))

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References

  1. Albeverio, S., Blanchard, Ph., Hoegh-Krohn, R. (1984): Newtonian Diffusions and Planets with a remark on non-standard Dirichlet forms and Polymers. In 'stochastic Analysis and Applications', Proceedings, Swansea 1983, editors A. Truman and D. Williams, 1–25. Lecture Notes in Maths. 1095, Springer-Verlag.

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  2. Batchelor, A., Truman, A., First Hitting Times for Excited States, in preparation.

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  3. Batchelor, A., Truman, A., First Hitting Times in Stochastic Mechanics, in preparation.

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  4. Bethe, H.A., Leon, M. (1962): Negative Meson Absorption in Liquid Hydrogen. Phys. Rev. 127, 636–647.

    Article  Google Scholar 

  5. Mandl, P. (1968): Analytical Treatment of One-Dimensional Markov Processes. Springer-Verlag, New York.

    MATH  Google Scholar 

  6. Nelson, E. (1967): Dynamical Theories of Brownian Motion. Mathematical Notes. Princeton: Princeton University Press.

    MATH  Google Scholar 

  7. Nelson, E. (1985): Quantum Fluctuations. Princeton Series in Physics. Princeton: Princeton University Press.

    MATH  Google Scholar 

  8. Newell, G.F. (1962): Asymptotic Extreme Value Distribution for One-Dimensional Diffusion Processes. J. of Math. and Mech. 11, 481–496.

    MathSciNet  MATH  Google Scholar 

  9. Truman, A. (1986): An Introduction to the stochastic mechanics of stationary states with applications. In ‘From local times to global geometry, control and physics', editor K.D. Elworthy, 329–344. Pitman Research Notes in Maths. Series 150. Longman Scientific and Technical.

    Google Scholar 

  10. Williams, D., Rogers, L.C.G. (1987): Diffusions, Markov Processes and Martingales, Volume 2 Itô Calculus. Chichester: John Wiley.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University College of Swansea, Singleton Park, SA2 8PP, Swansea

    Andrew Batchelor & Aubrey Truman

Authors
  1. Andrew Batchelor
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  2. Aubrey Truman
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Aubrey Truman Ian M. Davies

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© 1988 Springer-Verlag

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Batchelor, A., Truman, A. (1988). On first hitting times in stochastic mechanics. In: Truman, A., Davies, I.M. (eds) Stochastic Mechanics and Stochastic Processes. Lecture Notes in Mathematics, vol 1325. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077912

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  • DOI: https://doi.org/10.1007/BFb0077912

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50015-5

  • Online ISBN: 978-3-540-45887-6

  • eBook Packages: Springer Book Archive

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