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Explicit LDP for a slowed RW driven by a symmetric exclusion process | | Luca Avena
; Milton Jara
; Florian Voellering
; | | Date: |
10 Sep 2014 | | Abstract: | We consider a random walk (RW) driven by a simple symmetric exclusion process
(SSE). Rescaling the RW and the SSE in such a way that a joint hydrodynamic
limit theorem holds we prove a joint path large deviation principle. The
corresponding large deviation rate function can be split into two components,
the rate function of the SSE and the one of the RW given the path of the SSE.
Such components have different structures (Gaussian and Poissoinian,
respectively) and to overcome this difficulty we make use of the theory of
Orlicz spaces. In particular, the component of the rate function corresponding
to the RW is explicit. | | Source: | arXiv, 1409.3013 | | Services: | Forum | Review | PDF | Favorites | |
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