Abstract
We consider particle systems on lattices with internal dynamics at each site and random jumps between sites. Models with simple chaotic local dynamics, namely expanding circle maps, are considered. Results on mean drift rates, central limit theorems and dependences on jump parameters are proved.
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Communicated by A. Kupiainen
A version of most of the results in this paper is contained in this author’s Ph.D. thesis [K].
This research is partially supported by a grant from the NSF.
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Kobre, E., Young, LS. Extended Systems with Deterministic Local Dynamics and Random Jumps. Commun. Math. Phys. 275, 709–720 (2007). https://doi.org/10.1007/s00220-007-0312-5
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DOI: https://doi.org/10.1007/s00220-007-0312-5