2 citations · 3 across the 4 of their papers we have counts for
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An equivalent representation of the Jacobi field of a Lévy process
Eugene Lytvynov
In [Yu.M. Berezansky, E. Lytvynov, D. A. Mierzejewski, Ukrainian Math. J. 55 (2003), 853--858 ], the Jacobi field of a Lévy process was derived. This field consists of commuting se…
The semigroup of the Glauber dynamics of a continuous system of free particles
Yuri Kondratiev, Eugene Lytvynov, Michael Röckner
We study properties of the semigroup on the space , where is the configuration space over a locally compact second countable Hausdorff topol…
Lévy processes and Jacobi fields
Eugene Lytvynov
We review the recent results on the Jacobi field of a (real-valued) Lévy process defined on a Riemannian manifold. In the case where the Lévy process is neither Gaussian, nor Poiss…
The square of white noise as a Jacobi field
E. Lytvynov
We identify the representation of the square of white noise obtained by L. Accardi, U. Franz and M. Skeide in [Comm. Math. Phys. 228 (2002), 123--150] with the Jacobi field of a Lé…
Infinite interacting diffusion particles I: Equilibrium process and its scaling limit
Yuri Kondratiev, Eugene Lytvynov, Michael Röckner
A stochastic dynamics of a classical continuous system is a stochastic process which takes values in the space of all locally finite subsets (configurati…