Harnack inequality on configuration spaces: The coupling approach and a unified treatment

Chang-Song Deng

Stochastic Processes and their Applications, 2014, vol. 124, issue 1, 220-234

Abstract: In this paper, we establish the dimension-free Harnack inequality on configuration spaces by using the coupling argument. Furthermore, a unified treatment is also used to prove the equivalence between the Harnack inequality on configuration space and that on the corresponding base space under a very mild condition.

Keywords: Harnack inequality; Configuration space; Second quantization; Coupling (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1016/j.spa.2013.07.008

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