A. Ivanov

activity

20032023

most citedSpecial Functions for Heat Kernel Expansion

16 citations · 41 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.DS2022★ 3 cited

On $S L (2, R)$ -cocycles over irrational rotations with secondary collisions

Alexey V. Ivanov

We consider a skew product $F_{A} = (σ_{ω}, A)$ over irrational rotation $σ_{ω} (x) = x + ω$ of a circle $T^{1}$ . It is supposed that the transformation $A: \mathbb{T}^{1} \to…

math.DS2020★ 5 cited

On singularly perturbed linear cocyles over irrational rotations

Alexey Ivanov

We study a linear cocycle over irrational rotation $σ_{ω} (x) = x + ω$ of a circle $T^{1}$ . It is supposed the cocycle is generated by a $C^{1}$ -map $A_{\varepsilon}: \mathbb…

math.DS2019

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 $U (q, t) = f (t) V (q)$ .…

On SL(2,R)-cocycles over irrational rotations with secondary collisions

On singularly perturbed linear cocyles over irrational rotations

On transversal connecting orbits of Lagrangian systems in non-stationary force field: Newton-Kantorovich approach

On $S L (2, R)$ -cocycles over irrational rotations with secondary collisions