1 citations · 1 across the 2 of their papers we have counts for
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On the minimal drift for recurrence in the frog model on -ary trees
Chengkun Guo, Si Tang, Ningxi Wei
We study the recurrence of one-per-site frog model on a -ary tree with drift parameter , which determines the bias of frogs' random walks. We are i…
Occupation densities of Ensembles of Branching Random Walks
Si Tang, Steven P. Lalley
We study the limiting occupation density process for a large number of critical and driftless branching random walks. We show that the rescaled occupation densities of $\lfloor sN\…
The frog model on trees with drift
Erin Beckman, Natalie Frank, Yufeng Jiang +2
We provide a uniform upper bound on the minimal drift so that the one-per-site frog model on a -ary tree is recurrent. To do this, we introduce a subprocess that couples across…
Coexistence in chase-escape
Rick Durrett, Matthew Junge, Si Tang
We study a competitive stochastic growth model called chase-escape in which red particles spread to adjacent uncolored sites and blue only to adjacent red sites. Red particles are…
Extreme eigenvalues of sparse, heavy tailed random matrices
Antonio Auffinger, Si Tang
We study the statistics of the largest eigenvalues of sample covariance matrices when the entries of the matrix a…