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Characteristics of Random Walks on Wreath Products of Groups

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Abstract

The paper analyzes the entropy and the normalized drift of the wreath product of finitely generated groups. Examples of groups of zero entropy are given. Bibliography: 4 titles.

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REFERENCES

  1. A. V. Vershik, “Numerical characteristics of groups and their relations, ” Zap. Nauchn. Semin. POMI, 256, 5–18, (1999).

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  2. F. Spitzer, Principles of Random Walks, Van Nostrand, Princeton (1964).

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  3. N. Th. Varopoulos, “Random walks on groups. Applications to Fuchsian groups, ” Ark. Mat., 23, No. 1, 171–176 (1985).

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  4. N. Th. Varopoulos, “Théorie du potentiel sur des groupes et des variétés, ” C. R. Acad. Sci. Paris, Sér. I, 302, 203–205 (1986).

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  5. V. A. Kaimanovich andA. M. Vershik, “Random walks on discrete groups: boundary and entropy, ” Ann. Prob., 11, No. 3, 457–490 (1983).

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Authors and Affiliations

  1. St.Petersburg State University, Russia

    A. Dyubina

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  1. A. Dyubina
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Dyubina, A. Characteristics of Random Walks on Wreath Products of Groups. Journal of Mathematical Sciences 107, 4166–4171 (2001). https://doi.org/10.1023/A:1012465406149

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  • DOI: https://doi.org/10.1023/A:1012465406149

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