Yinshan Chang

most citedPhase transition in loop percolation

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math.PR2016

Two observations on the capacity of the range of simple random walks on $Z^{3}$ and $Z^{4}$

Yinshan Chang

We prove a weak law of large numbers for the capacity of the range of simple random walks on $Z^{4}$ . On $Z^{3}$ , we show that the capacity, properly scaled, conv…

math.PR2014★ 2 cited

Phase transition in loop percolation

Yinshan Chang, Artëm Sapozhnikov

We are interested in the clusters formed by a Poisson ensemble of Markovian loops on infinite graphs. This model was introduced and studied in [LeJ12] and [LL12]. It is a model wit…

Two observations on the capacity of the range of simple random walks on Z3 and Z4

Phase transition in loop percolation

Two observations on the capacity of the range of simple random walks on $Z^{3}$ and $Z^{4}$