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math.PR2026
Atypical Decay Rates for Atypical Heights in Random Recursive Trees
Xinxin Chen, Heng Ma
We establish the large deviation probabilities for the height of random recursive trees, revealing polynomial upper-tail decay and stretched-exponential lower-tail decay. Remarkabl…
math.PR2015
Gaussian bounds and Collisions of variable speed random walks on lattices with power law conductances
Xinxing Chen
We consider a weighted lattice with conductance . We show that the heat kernel of a variable speed random walk on it satisfies a two-sided Gaussian bound by usi…
math.PR2013★ 4 cited
Pointwise upper estimates for transition probability of continuous time random walks on graphs
Xinxing Chen
Let be a continuous time random walk on a weighted graph. Given the on-diagonal upper bounds of transition probabilities at two vertices and , we use an adapted metr…