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Talk based on paper with Persi Diaconis The Asymmetric OneDimensional Constrained
 

Summary: Talk based on paper with Persi Diaconis
The Asymmetric One­Dimensional Constrained
Ising Model: Rigorous Results
to appear in J. Statistical Physics.
Preprint and copy of these slides on my home­
page.
1

The East Process
ffl ffl ffl ffl
Parameter 0 ! p ! 1. Equivalent descriptions:
ffl ! ffl ffl rate p
ffl ffl ! ffl rate 1 \Gamma p:
or: each particle, after exponential(1) random
time, sends a ``pulse'' to site on its East; that
site is reset via
P(occupied) = p; P(unoccupied) = 1 \Gamma p:
Process is time­reversible, stationary distribu­
tion i.i.d. Bernoulli(p).
Seek to quantify the heuristic observation

  

Source: Aldous, David J. - Department of Statistics, University of California at Berkeley

 

Collections: Mathematics