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research article
Some results for long-range exclusion processes
We examine the long-range exclusion process introduced by Spitzer and studied by Liggett and answer some of the open questions raised by Liggett. In particular, we show the existence of equilibria corresponding to bounded dual harmonic functions and that the process can have right-discontinuous paths at strictly positive times. We also show that "explosions" when they occur, do so at fixed times determined by the initial configuration. Finally, we give an example for which the configuration with all sites occupied is not stable although the rate at which particles arrive at any given site for that configuration is infinite.
Type
research article
Web of Science ID
WOS:000256661800006
Authors
Publication date
2008
Published in
Volume
142
Start page
189
End page
217
Subjects
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 30, 2010
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