35 citations · 161 across the 45 of their papers we have counts for
4 papers · 2 filters
The local structure of -Gaussian processes
Włodzimierz Bryc, Yizao Wang
The local structure of -Ornstein-Uhlenbeck processes and -Brownian motions are investigated, for all . These are the classical Markov processes corresponding to t…
From infinite urn schemes to decompositions of self-similar Gaussian processes
Olivier Durieu, Yizao Wang
We investigate a special case of infinite urn schemes first considered by Karlin (1967), especially its occupancy and odd-occupancy processes. We first propose a natural randomizat…
Invariance principles for operator-scaling Gaussian random fields
Hermine Biermé, Olivier Durieu, Yizao Wang
Recently, Hammond and Sheffield introduced a model of correlated random walks that scale to fractional Brownian motions with long-range dependence. In this paper, we consider a nat…
Limit theorems for weighted Bernoulli random fields under Hannan's condition
Jana Klicnarová, Dalibor Volný, Yizao Wang
Consider a Bernoulli random field satisfying the Hannan's condition. Recently, invariance principles for partial sums of random fields over rectangular index sets are established.…