92 citations · 561 across the 76 of their papers we have counts for
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Discrete Fractal Dimensions of the Ranges of Random Walks in Associate with Random Conductances
Yimin Xiao, Xinghua Zheng
Let X= {X_t, t \ge 0} be a continuous time random walk in an environment of i.i.d. random conductances {μ_e \in [1, \infty), e \in E_d}, where E_d is the set of nonoriented nearest…
Spectral conditions for strong local nondeterminism and exact Hausdorff measure of ranges of Gaussian random fields
Nana Luan, Yimin Xiao
Let be a Gaussian random field with values in defined by \[ X(t) = \big(X_1(t),..., X_d(t)\big),\qquad t \in \R^N, \] where are ind…
Brownian motion and thermal capacity
Davar Khoshnevisan, Yimin Xiao
Let denote -dimensional Brownian motion. We find an explicit formula for the essential supremum of Hausdorff dimension of , where and $F\sub…
Multivariate Operator-Self-Similar Random Fields
Yuqiang Li, Yimin Xiao
Multivariate random fields whose distributions are invariant under operator-scalings in both time-domain and state space are studied. Such random fields are called operator-self-si…
Occupation Time Fluctuations of Weakly Degenerate Branching Systems
Yuqiang Li, Yimin Xiao
We establish limit theorems for re-scaled occupation time fluctuations of a sequence of branching particle systems in with anisotropic space motion and weakly degenerate spl…
Packing Dimension Profiles and Levy Processes
Davar Khoshnevisan, Rene Schilling, Yimin Xiao
We extend the concept of packing dimension profiles, due to Falconer and Howroyd (1997) and Howroyd (2001), and use our extension in order to determine the packing dimension of an…