62 citations · 250 across the 22 of their papers we have counts for
22 papers
Stirling operators in spatial combinatorics
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov +1
We define and study a spatial (infinite-dimensional) counterpart of Stirling numbers. In classical combinatorics, the Pochhammer symbol can be extended from a natural numbe…
Sheffer homeomorphisms of spaces of entire functions in infinite dimensional analysis
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov +2
For certain Sheffer sequences on , Grabiner (1988) proved that, for each , the corresponding Sheffer operator extends…
An infinite dimensional umbral calculus
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov +1
The aim of this paper is to develop foundations of umbral calculus on the space of distributions on , which leads to a general theory of Sheffer polynomi…
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…