35 citations · 161 across the 45 of their papers we have counts for
7 papers · 2 filters
Operator-scaling Gaussian random fields via aggregation
Yi Shen, Yizao Wang
We propose an aggregated random-field model, and investigate the scaling limits of the aggregated partial-sum random fields. In our model, each copy of the random field in the aggr…
From infinite urn schemes to self-similar stable processes
Olivier Durieu, Gennady Samorodnitsky, Yizao Wang
We investigate the randomized Karlin model with parameter , which is based on an infinite urn scheme. It has been shown before that when the randomization is bounded, th…
From random partitions to fractional Brownian sheets
Olivier Durieu, Yizao Wang
We propose discrete random-field models that are based on random partitions of . The covariance structure of each random field is determined by the underlying random…
Limit fluctuations for density of asymmetric simple exclusion processes with open boundaries
Włodzimierz Bryc, Yizao Wang
We investigate the fluctuations of cumulative density of particles in the asymmetric simple exclusion process with respect to the stationary distribution (also known as the steady…
Generalized random fields and Lévy's continuity theorem on the space of tempered distributions
Hermine Biermé, Olivier Durieu, Yizao Wang
In this note, we recall main properties of generalized random fields and present a proof of the continuity theorem of Paul Lévy for generalized random fields in the space of temper…
Dual representations of Laplace transforms of Brownian excursion and generalized meanders
Włodzimierz Bryc, Yizao Wang
The Laplace transform of the -dimensional distribution of Brownian excursion is expressed as the Laplace transform of the -dimensional distribution of an auxiliary Markov…