Skip to main content
Log in

Random processes with common cotransition probabilities

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

The paper is devoted to the investigation of equivalent Markov diffusion processes. Analogues of the fundamental facts of the discrete theory are obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. W. Feller, An Introduction to Probability Theory and Its Applications, Vol. II, Wiley, New York (1966).

    Google Scholar 

  2. A. M. Vershik and S. V. Kerov, "Locally semisimple algebras. Combinatorial theory and the K0-functor," Itogi Nauki i Tekhniki, Ser. Sovr. Probl. Mat. Noveish. Dostizh.,26, 3–56 (1985).

    Google Scholar 

  3. A. M. Vershik and S. V. Kerov, "Asymptotic theory of the characters of a symmetric group," Funkts. Anal. Prilozhen.,15, No. 4, 15–27 (1981).

    Google Scholar 

  4. V. A. Kaimanovich and A. M. Vershik, "Random walks on discrete groups: boundary and entropy," Ann. Probab.,11, No. 3, 457–490 (1983).

    Google Scholar 

  5. S. V. Kerov, "Realization of*-representation of Hecke algebras, and the orthogonal Young form," Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,161, 155–172 (1987).

    Google Scholar 

  6. S. V. Kerov, "Combinatorial examples in the theory of AF-algebras," Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,172, 55–67 (1989).

    Google Scholar 

  7. G. Szegö, Orthogonal Polynomials, Amer. Math. Soc., Providence (1959).

  8. T. S. Chihara, An Introduction to Orthogonal Polynomials, Gordon and Breach, New York (1978).

    Google Scholar 

  9. B. Jamison, "The Markov processes of Schrödinger," Z. Wahrsch. Verw. Gebiete,32, No. 4, 323–331 (1975).

    Google Scholar 

  10. D. E. Handelman, Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem, Lecture Notes in Math., No. 1282, Springer, Berlin (1987).

    Google Scholar 

  11. K. Ito, Probability Processes. II (Russian translation), Izdat. Inostr. Liter., Moscow (1963).

    Google Scholar 

  12. R. R. Phelps, Lectures on Choquet's Theorem, Van Nostrand, Princeton (1966).

    Google Scholar 

  13. H. Bateman and A. Erdélyi, Higher Transcendental Functions, Vol. II, McGraw-Hill, New York (1953).

    Google Scholar 

  14. E. B. Dynkin, Markov Processes, Vols. I, II, Springer, Berlin (1965).

    Google Scholar 

Download references

Authors

Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova Akademii Nauk SSSR, Vol. 184, pp. 169–181, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kerov, S.V., Orevkova, O.A. Random processes with common cotransition probabilities. J Math Sci 68, 516–525 (1994). https://doi.org/10.1007/BF01254276

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01254276

Keywords

Navigation