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Correlated random walks

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Abstract

We present a new approach to the calculation of first passage statistics for correlated random walks on one-dimensional discrete systems. The processes may be non-Markovian and also nonstationary. A number of examples are used to demonstrate the theory.

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References

  1. S. Fujita, Y. Okamura, E. Blaisten, and S. V. Godoy,J. Chem. Phys. 73:4569 (1980); Y. Okamura, E. Blaisten-Barojas, S. Fujita, and S. V. Godoy,Phys. Rev. B 22:1638 (1980); S. Fujita, Y. Okamura, and J. T. Chen,J. Chem. Phys. 72:3993 (1980); S. Fujita, E. Blaisten-Barojas, M. Torres, and S. V. Godoy,J. Chem. Phys. 75:3097 (1981).

    Google Scholar 

  2. S. Goldstein,Q. J. Mech. Appl. Math. 4:129 (1951); Y. Okamura, E. Blaisten-Barojas, S. V. Godoy, S. E. Ulloa, and S. Fujita,J. Chem. Phys. 76:601 (1982); S. V. Godoy,J. Chem. Phys. 78:6940 (1983); S. V. Godoy, F. Huelsz, and S. Fujita,Acta Phys. Aust. 55:189 (1984).

    Google Scholar 

  3. J. W. Haus and K. W. Kehr,Phys. Rep. 150:264 (1987).

    Google Scholar 

  4. J. Masoliver, K. Lindenberg, and B. J. West,Phys. Rev. A 33:2177; 34:1481, 2351 (1986).

    Google Scholar 

  5. G. H. Weiss, J. Masoliver, K. Lindenberg, and B. J. West,Phys. Rev. A 36:1435 (1987).

    Google Scholar 

  6. G. H. Weiss,Adv. Chem. Phys. 13:1 (1966).

    Google Scholar 

  7. L. B. W. Jolley,Summation of Series (Dover, New York, 1961), p. 15.

    Google Scholar 

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de la Selva, S.M.T., Lindenberg, K. & West, B.J. Correlated random walks. J Stat Phys 53, 203–219 (1988). https://doi.org/10.1007/BF01011553

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