Random walks on hypergroup of conics in finite fields

Details Random walks on hypergroup of conics in finite fields Random walks on hypergroup of conics in finite fields

2006-06-20

arxiv.org/abs/math/0606485v1

Mathematics

Probability

To appear in the Global Journal in Pure and Applied Mathematics

Scientific paper

In this paper we study random walks on the hypergroup of conics in finite
fields. We investigate the behavior of random walks on this hypergroup, the
equilibrium distribution and the mixing times. We use the coupling method to
show that the mixing time of random walks on hypergroup of conics is only
linear.

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