101 citations · 308 across the 18 of their papers we have counts for
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math.PR2007★ 25 cited
Self-similar stable processes arising from high-density limits of occupation times of particle systems
Tomasz Bojdecki, Luis G. Gorostiza, Anna Talarczyk
We extend results on time-rescaled occupation time fluctuation limits of the -branching particle system with Poisson initial condition. The earli…
math.PR2007★ 101 cited
Some extensions of fractional Brownian motion and sub-fractional Brownian motion related to particle systems
Tomasz Bojdecki, Luis G. Gorostiza, Anna Talarczyk
In this paper we study three self-similar, long-range dependence, Gaussian processes. The first one, with covariance \int_0^{s\wedge t} u^a [(t-u)^b+(s-u)^b]du, parameters a>-1, -1…