9 citations · 11 across the 3 of their papers we have counts for
3 papers
math.PR2014
A scaling limit for the degree distribution in sublinear preferential attachment schemes
Jihyeok Choi, Sunder Sethuraman, Shankar C. Venkataramani
We consider a general class of preferential attachment schemes evolving by a reinforcement rule with respect to certain sublinear weights. In these schemes, which grow a random net…
math.PR2013★ 2 cited
On the convergence of densities of finite voter models to the Wright-Fisher diffusion
Yu-Ting Chen, Jihyeok Choi, J. Theodore Cox
We study voter models defined on large sets. Through a perspective emphasizing the martingale property of voter density processes, we prove that in general, their convergence to th…
math.PR2011★ 9 cited
Large deviations for the degree structure in preferential attachment schemes
Jihyeok Choi, Sunder Sethuraman
Preferential attachment schemes, where the selection mechanism is linear and possibly time-dependent, are considered, and an infinite-dimensional large deviation principle for the…