124 citations · 158 across the 3 of their papers we have counts for
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math.PR2012
From Local to Global Stability in Stochastic Processing Networks through Quadratic Lyapunov Functions
Antonius B. Dieker, Jinwoo Shin
We construct a generic, simple, and efficient scheduling policy for stochastic processing networks, and provide a general framework to establish its stability. Our policy is random…
math.PR2007★ 34 cited
Determinantal transition kernels for some interacting particles on the line
A. B. Dieker, J. Warren
We find the transition kernels for four Markovian interacting particle systems on the line, by proving that each of these kernels is intertwined with a Karlin-McGregor type kernel.…
math.PR2007★ 124 cited
Large deviations for random walks under subexponentiality: the big-jump domain
D. Denisov, A. B. Dieker, V. Shneer
For a given one-dimensional random walk with a subexponential step-size distribution, we present a unifying theory to study the sequences for which $\mathsf{P}\…