Assouad dimension of random processes

Douglas Howroyd; Han Yu

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arXiv · 1707.02507

Assouad dimension of random processes

Douglas Howroyd·Han Yu

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Abstract

In this paper we study the Assouad dimension of graphs of certain L\'evy processes and functions defined by stochastic integrals. We do this by introducing a convenient condition which guarantees a graph to have full Assouad dimension and then show that graphs of our studied processes satisfy this condition.

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Douglas Howroyd, Han Yu. 2017-07-09. Assouad dimension of random processes. https://arxiv.org/abs/1707.02507

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