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ASYMPTOTIC PROPERTIES OF RANDOM WALKS ON p-ADIC SPACES
Journal article   Peer reviewed

ASYMPTOTIC PROPERTIES OF RANDOM WALKS ON p-ADIC SPACES

J.L Lucio and Y Meurice
Modern physics letters A, Vol.6(13), pp.1199-1201
04/30/1991
DOI: 10.1142/S0217732391001263

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Abstract

We give an upper and a lower bound for the average distance covered after n steps for a family of random walks on a D-dimensional p-adic space. We mention the implications of this result for the critical dimensions of scalar field theories on such a space.

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