E. Lytvynov

activity

20012025

most citedOn a spectral representation for correlation measures in configuration space analysis

21 citations · 181 across the 48 of their papers we have counts for

collaborators

Showing 2011Show all

4 papers · 1 filter

math.PR2011★ 5 cited

Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy +1

Let $Γ$ denote the space of all locally finite subsets (configurations) in $R^{d}$ . A stochastic dynamics of binary jumps in continuum is a Markov process on $Γ$ in which pai…

math.PR2011★ 17 cited

Non-commutative Lévy processes for generalized (particularly anyon) statistics

Marek Bozejko, Eugene Lytvynov, Janusz Wysoczanski

Let $T = R^{d}$ . Let a function $Q : T^{2} \to C$ satisfy $Q (s, t) = Q (t, s) ˉ$ and $∣ Q (s, t) ∣ = 1$ . A generalized statistics is described by creation operators $\partial_{t}^{†}$ a…

math.PR2011★ 5 cited

Determinantal point processes with J-Hermitian correlation kernels

Eugene Lytvynov

Let X be a locally compact Polish space and let m be a reference Radon measure on X. Let $Γ_{X}$ denote the configuration space over X, that is, the space of all locally finite subse…

math.PR2011★ 5 cited

Binary jumps in continuum. I. Equilibrium processes and their scaling limits

Dmitri L. Finkelshtein, Yuri G. Kondratiev, Oleksandr V. Kutoviy +1

Let $Γ$ denote the space of all locally finite subsets (configurations) in $R^{d}$ . A stochastic dynamics of binary jumps in continuum is a Markov process on $Γ$ in which pairs of pa…