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Recurrent random walks on homogeneous spaces of p-adic algebraic groups of polynomial growth

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Abstract.

Let G be a p-adic algebraic group of polynomial growth and H be a closed subgroup of G. We prove the growth conjecture for the homogeneous space G/H, that is, G/H supports a recurrent random walk if and only if G/H has polynomial growth of degree atmost two.

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Authors and Affiliations

  1. Indian Statistical Institute, Stat-Math Unit, 8th Mile Mysore Road, Bangalore, 560 059, India

    C. Robinson Edward Raja

  2. IECN and Loria, Université Henri Poincaré, BP 239, Nancy, France

    René Schott

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  1. C. Robinson Edward Raja
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  2. René Schott
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Correspondence to C. Robinson Edward Raja.

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Received: 23 November 2007

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Raja, C.R.E., Schott, R. Recurrent random walks on homogeneous spaces of p-adic algebraic groups of polynomial growth. Arch. Math. 91, 379–384 (2008). https://doi.org/10.1007/s00013-008-2663-3

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  • DOI: https://doi.org/10.1007/s00013-008-2663-3

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