21 citations · 181 across the 48 of their papers we have counts for
5 papers · 1 filter
Analysis on the cone of discrete Radon measures
Dmitri Finkelshtein, Yuri Kondratiev, Peter Kuchling +2
We study analysis on the cone of discrete Radon measures over a locally compact Polish space . We discuss probability measures on the cone and the corresponding correlation meas…
Particle-hole transformation in the continuum and determinantal point processes
Maryam Gharamah Ali Alshehri, Eugene Lytvynov
Let be an underlying space with a reference measure . Let be an integral operator in with integral kernel . A point process on is called deter…
Fock representations of multicomponent (particularly non-Abelian anyon) commutation relations
Alexei Daletskii, Alexander Kalyuzhny, Eugene Lytvynov +1
Let be a separable Hilbert space and be a self-adjoint bounded linear operator on with norm , satisfying the Yang--Baxter equation. Bożejko and Speich…
Fock representations of -deformed commutation relations
Marek Bożejko, Eugene Lytvynov, Janusz Wysoczański
We consider Fock representations of the -deformed commutation relations Here (or…
On convergence of dynamics of hopping particles to a birth-and-death process in continuum
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov
We show that some classes of birth-and-death processes in continuum (Glauber dynamics) may be derived as a scaling limit of a dynamics of interacting hopping particles (Kawasaki dy…