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Energy of cutoff functions and heat kernel upper bounds

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S. Andres and M.T. Barlow*

It is well known that electrical resistance arguments provide (usually) the best method for determining whether a graph is transient or recurrent. In this talk I will discuss a similar characterization of ‘sub-diffusive behaviour’—this occurs in spaces with many obstacles or traps.

The characterization is in terms of the energy of cutoff functions in annuli.

This talk is part of the Probability series.

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