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pro vyhledávání: '"A. Kaloshin"'
This paper is part I of a series in which we aim to show that the singular support of the wave trace and the length spectrum of a smooth, strictly convex, and bounded planar billiard table are generally distinct objects. We derive an asymptotic trace
Externí odkaz:
http://arxiv.org/abs/2404.02381
In this paper we prove a perturbative version of a remarkable Bialy-Mironov (Ann.Math:389-413(196), 2022) result. They prove non perturbative Birkhoff conjecture for centrally-symmetric convex domains, namely, a centrally-symmetric convex domain with
Externí odkaz:
http://arxiv.org/abs/2306.12301
Publikováno v:
Биопрепараты: Профилактика, диагностика, лечение, Vol 24, Iss 1, Pp 91-102 (2024)
SCIENTIFIC RELEVANCE. Pseudomonas aeruginosa is one of the main causative agents of focal and diffuse suppurative inflammations in immunocompromised individuals. The multiple antimicrobial resistance of Р. aeruginosa has created an urgent need to de
Externí odkaz:
https://doaj.org/article/ec4532444db74717871208677f0fe9be
Autor:
Kaloshin, A. E., Voronin, D. M.
We construct a spectral representation of neutrino propagator in matter moving with constant velocity, or in constant homogenious magnetic field. In both cases there exists definite 4-axis $z$ of complete polarization, such that corresponding spin pr
Externí odkaz:
http://arxiv.org/abs/2110.07132
We discuss diagonalization of propagator for mixing fermions system based on the eigenvalue problem. The similarity transformation converting matrix propagator into diagonal form is obtained. The suggested diagonalization has simple algebraic propert
Externí odkaz:
http://arxiv.org/abs/2109.06470
Autor:
Kaloshin, V., Koudjinan, C. E.
For any given positive integer $l$, we prove that every plane deformation of a circle which preserves the $1/2$ and $1/(2l+1)$-rational caustics is trivial i.e. the deformation consists only of similarities (rescalings plus isometries).
Comment:
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Externí odkaz:
http://arxiv.org/abs/2107.03499
Autor:
Kaloshin, V., Koudjinan, C. E.
In the class of strictly convex smooth boundaries, each of which not having strip around its boundary foliated by invariant curves, we prove that the Taylor coefficients of the "normalized" Mather's $\beta$-function are invariants under $C^\infty$-co
Externí odkaz:
http://arxiv.org/abs/2105.14640
Autor:
Kaloshin, Pavel
Convolutional neural networks show outstanding results in a variety of computer vision tasks. However, a neural network architecture design usually faces a trade-off between model performance and computational/memory complexity. For some real-world a
Externí odkaz:
http://arxiv.org/abs/2006.06443
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We consider billiards obtained by removing from the plane finitely many strictly convex analytic obstacles satisfying the non-eclipse condition. The restriction of the dynamics to the set of non-escaping orbits is conjugated to a subshift, which prov
Externí odkaz:
http://arxiv.org/abs/1905.00890