16 citations · 41 across the 7 of their papers we have counts for
7 papers
MellinBarnes Transformation for Two-Loop Master-Diagram
S. E. Derkachev, A. V. Ivanov, L. A. Shumilov
In the paper, we obtain an expression for a two-loop master-diagram by using the MellinBarnes transformation. In the two-dimensional case we managed to factorize the answer and…
On -cocycles over irrational rotations with secondary collisions
Alexey V. Ivanov
We consider a skew product over irrational rotation of a circle . It is supposed that the transformation $A: \mathbb{T}^{1} \to…
Special Functions for Heat Kernel Expansion
A. V. Ivanov, N. V. Kharuk
In this paper, we study an asymptotic expansion of the heat kernel for a Laplace operator on a smooth Riemannian manifold without a boundary at enough small values of the proper ti…
On singularly perturbed linear cocyles over irrational rotations
Alexey Ivanov
We study a linear cocycle over irrational rotation of a circle . It is supposed the cocycle is generated by a -map $A_{\varepsilon}: \mathbb…
On transversal connecting orbits of Lagrangian systems in non-stationary force field: Newton-Kantorovich approach
Alexey Ivanov
We consider a natural Lagrangian system defined on a complete Riemannian manifold being subjected to the action of a non-stationary force field with potential .…
Locally uniformly rotund renormings of the spaces of continuous functions on Fedorchuk compacts
S. P. Gul'ko, A. V. Ivanov, M. S. Shulikina +1
We show that admits an equivalent pointwise lower semicontinuous locally uniformly rotund norm provided is Fedorchuk compact of spectral height 3. In other words adm…