91 citations · 275 across the 27 of their papers we have counts for
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math.PR2014★ 7 cited
Loop percolation on discrete half-plane
Titus Lupu
We consider the random walk loop soup on the discrete half-plane and study the percolation problem, i.e. the existence of an infinite cluster of loops. We show that the critical va…
math.PR2014★ 91 cited
From loop clusters and random interlacement to the free field
Titus Lupu
It was shown by Le Jan that the occupation field of a Poisson ensemble of Markov loops ("loop soup") of parameter one-half associated to a transient symmetric Markov jump process o…