3 papers
math-ph2026
Quantum "Twin Peaks" or Path Integrals in the Future Light Cone
Vladimir V. Belokurov, Vsevolod V. Chistiakov, Klavdiia A. Lursmanashvili +1
By analogy with the Wiener measure on the Euclidean plane that is invariant under the group of rotations and quasi-invariant under the group of diffeomorphisms, we construct the pa…
math.HO2025
On the occasion of Dr. Ivan Dmitrievich Remizov's 40th birthday
Ksenia Dragunova, Elmira Kalimulina, Rustem Kalmetev +8
This article celebrates the 40th anniversary of Dr. Ivan Dmitrievich Remizov, a mathematician who made a number of important contributions to the theory of one-parameter operator s…
math-ph2025
Proof of the polar decomposition of the Wiener measure
V. V. Belokurov, E. T. Shavgulidze, N. E. Shavgulidze
In the paper, we give the proof of the polar decomposition of the Wiener measure according to the orbits of the group of diffeomorphisms.