Skip to main content
Log in

Approximation for the invariant measures of markov maps inR d

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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.

References

  1. Boyarsky, A., Lou, Y.S.: Approximating measures invariant under higher-dimensional chaotic transformations. J. Approx. Theory65, 231–244 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  2. Bugiel, P.: Approximation for the measures of ergodic transformations of the real line. Z. Wahrscheinlichkeitstheorie verw. Gebiete59, 27–38 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  3. Bugiel, P.: Ergodic properties of Markov maps inR d. Probab. Th. Rel. Fields88, 483–496 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  4. Bugiel, P.: On a Bernoulli property of some piecewiseC 2-diffeomorphisms inR d. Mh. Math.116, 99–110 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  5. Dunford, N., Schwartz, J.T.: Linear Operators. Part I: General Theory. Interscience Publishers: New York, London 1958

    Google Scholar 

  6. Góra, P., Boyarsky, A.: On functions of bounded variation in higher dimensions. Amer. Math. Monthly99, 159–160 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  7. Iosifescu, M.: Mixing properties forf-expansions. In: Prohorov et al. (eds.) Probability Theory and Mathematical Statistics. Vol. 2, pp. 1–8, VNU Science Press 1986

  8. Lasota, A., Yorke, J.A.: On the existence of invariant measure for piecewise monotonic transformation. Trans. Amer. Math. Soc.186, 481–488 (1973)

    Article  MathSciNet  Google Scholar 

  9. Li, T.Y.: Finite approximation for Frobenius-Perron operator: A solution to Ulam’s conjecture. J. Approx. Theory17, 177–186 (1976)

    Article  MATH  Google Scholar 

  10. Rechard, O.: Invariant measures for many-one transformations. Duke Math. J.23, 477–488 (1956)

    Article  MATH  MathSciNet  Google Scholar 

  11. Ulam, S.: Problems in Mathematics. Interscience: New York 1960

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to the memory of my parents

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bugiel, P. Approximation for the invariant measures of markov maps inR d . Math Z 221, 139–152 (1996). https://doi.org/10.1007/BF02622104

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02622104

Keywords

Navigation