Direct limit of shift-invariant measures on a Hilbert space

VM Busovikov, VZ Sakbaev - Lobachevskii Journal of Mathematics, 2023 - Springer
A translationally invariant measure on a Hilbert space is constructed such that this measure
is invariant with respect to a group of shifts along a divergence-free vector fields from wide …

Levy Laplacians, holonomy group and instantons on 4-manifolds

BO Volkov - Potential Analysis, 2023 - Springer
A connection between the Yang–Mills gauge fields on 4-dimensional orientable compact
Riemannian manifolds and modified Lévy Laplacians is studied. A modified Lévy Laplacian …

Modified Lévy Laplacian on manifold and Yang–Mills instantons

BO Volkov - International Journal of Modern Physics A, 2022 - World Scientific
In this paper, an infinite-dimensional Laplacian defined as the Cesáro mean of the second-
order directional derivatives on manifold is considered. This Laplacian is parametrized by …

-аппроксимации решений параболических дифференциальных уравнений на многообразиях

АС Смирнова - Журнал Средневолжского математического …, 2022 - mathnet.ru
В работе рассматривается задача Коши для параболического уравнения с частными
производными в римановом многообразии ограниченной геометрии. Приводится …

[PDF][PDF] International Online Conference “One-Parameter Semigroups of Operators 2021”

VALMG Kozlova - nnov.hse.ru
The trajectories of the system are encoded by paths on the graph [1, 6] and can be found
using route algorithms in the graph by many agents, and closed paths by many salesmen …

[PDF][PDF] 3. Interplay between linear infinite-dimensional systems and nonlinear finite-dimensional systems

J Hölz - BOOK OF ABSTRACTS - nnov.hse.ru
MSC2010 codes: 37M25, 37C10, 34M45, 47E05, 42-04 In the spirit of optimal
approximation and reduced order modelling the goal of DMD methods and variants is to …