39 citations · 176 across the 32 of their papers we have counts for
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Fractional statistical dynamics and fractional kinetics
Jose Luis da Silva, Anatoly N. Kochubei, Yuri Kondratiev
We apply the subordination principle to construct kinetic fractional statistical dynamics in the continuum in terms of solutions to Vlasov-type hierarchies. As a by-product we obta…
Polymer Measure: Varadhan's Renormalization Revisited
Wolfgang Bock, Maria João Oliveira, José Luis da Silva +1
Through chaos decomposition we improve the Varadhan estimate for the rate of convergence of the centered approximate self-intersection local time of planar Brownian motion.
Self-avoiding fractional Brownian motion - The Edwards model
Martin Grothaus, Maria João Oliveira, José Luis da Silva +1
In this work we extend Varadhan's construction of the Edwards polymer model to the case of fractional Brownian motions in , for any dimension , with arbitrary Hurst…
Intersection local times of fractional Brownian motions with as generalized white noise functionals
Custodia Drumond, Maria Joao Oliveira, Jose Luis da Silva
In , for any dimension , expansions of self-intersection local times of fractional Brownian motions with arbitrary Hurst coefficients in are presented. The e…