62 citations · 250 across the 22 of their papers we have counts for
14 papers · 1 filter
Chaos Decomposition and Gap Renormalization of Brownian Self-Intersection Local Times
Jinky Bornales, Maria João Oliveira, Ludwig Streit
We study the chaos decomposition of self-intersection local times and their regularization, with a particular view towards Varadhan's renormalization for the planar Edwards model.
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.
Dynamical Widom-Rowlinson model and its mesoscopic limit
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy +1
We consider the non-equilibrium dynamics for the Widom-Rowlinson model (without hard-core) in the continuum. The Lebowitz-Penrose-type scaling of the dynamics is studied and the sy…
A Fractional Edwards Model for Chain Polymers -Generalizations of the Flory Formula
Wolfgang Bock, Jinky Bornales, Samuel Eleuterio +2
Paper is withdrawn due to further studies.
Kawasaki dynamics in the continuum via generating functionals evolution
Dmitri L. Finkelshtein, Yuri G. Kondratiev, Maria Joao Oliveira
We construct the time evolution of Kawasaki dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in…
Markov evolutions and hierarchical equations in the continuum: II. Multicomponent systems
Dmitri L. Finkelshtein, Yuri G. Kondratiev, Maria João Oliveira
General birth-and-death as well as hopping stochastic dynamics of infinite multicomponent particle systems in the continuum are considered. We derive the corresponding evolution eq…