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pro vyhledávání: '"Mironov, P. P."'
Within the context of wavefunctions of integrable many-body systems, rational multivariable Baker-Akhiezer (BA) functions were introduced by O. Chalykh, M. Feigin and A. Veselov and, in the case of the trigonometric Ruijsenaars-Schneider system, can
Externí odkaz:
http://arxiv.org/abs/2411.16517
Macdonald symmetric polynomial at $t=q^{-m}$ reduces to a sum of much simpler complementary non-symmetric polynomials, which satisfy a simple system of the first order linear difference equations with constant coefficients, much simpler than those in
Externí odkaz:
http://arxiv.org/abs/2411.14194
Autor:
Mironov, S., Sharov, M.
We consider a general dynamical, spherically symmetric background in the cubic subclass of Horndeski theory and obtain the quadratic action for the perturbations using the DPSV approach. We analyse the stability conditions for high-energy modes and s
Externí odkaz:
http://arxiv.org/abs/2411.05416
Abridged: The fortunate proximity of the SN2023ixf allowed astronomers to follow its evolution from almost the moment of the collapse of the progenitor's core. SN2023ixf can be explained as an explosion of a massive star with an energy of 0.7e51 erg,
Externí odkaz:
http://arxiv.org/abs/2410.19939
Autor:
Mironov, Mikhail
Suppose $V$ is the unit disc $\mathbb{D}$ embedded in the $d$-dimensional unit ball $\mathbb{B}_d$ and attached to the unit sphere. Consider the space $\mathcal{H}_V$, the restriction of the Drury-Arveson space to the variety $V$, and its multiplier
Externí odkaz:
http://arxiv.org/abs/2410.16966
Publikováno v:
Physics Letters B860 (2025) 139170
The goal of this note is to study integrable properties of a generating function of the HOMFLY-PT invariants of the Hopf link colored with different representations. We demonstrate that such a generating function is a $\tau$-function of the KP hierar
Externí odkaz:
http://arxiv.org/abs/2410.14823
The concept of diversity is widely used in various applications: from image or molecule generation to recommender systems. Thus, being able to properly measure diversity is important. This paper addresses the problem of quantifying diversity for a se
Externí odkaz:
http://arxiv.org/abs/2410.14556
Quite some years ago, Oleg Chalykh has built a nice theory from the observation that the Macdonald polynomial reduces at $t=q^{-m}$ to a sum over permutations of simpler polynomials called Baker-Akhiezer functions, which can be unambiguously construc
Externí odkaz:
http://arxiv.org/abs/2410.10685
Autor:
Mironov, Mikhail
The thesis is devoted to two related problems. 1. The isomorphism problem for analytic discs: Suppose $V$ is the unit disc $\mathbb{D}$ embedded in the $d$-dimensional unit ball $\mathbb{B}_d$ and attached to the unit sphere. Consider the space $\mat
Externí odkaz:
http://arxiv.org/abs/2410.10494
Autor:
Slavich, Aleksandr, Ermolaev, Georgy, Zavidovskiy, Ilya, Grudinin, Dmitriy, Kravtsov, Konstantin, Tatmyshevskiy, Mikhail, Mironov, Mikhail, Toksumakov, Adilet, Tselikov, Gleb, Fradkin, Ilia, Voronin, Kirill, Povolotskiy, Maksim, Matveeva, Olga, Syuy, Alexander, Yakubovsky, Dmitry, Tsymbarenko, Dmitry, Kruglov, Ivan, Ghazaryan, Davit, Novikov, Sergey, Vyshnevyy, Andrey, Arsenin, Aleksey, Volkov, Valentyn, Novoselov, Kostya
Thanks to their record high refractive index and giant optical anisotropy, van der Waals (vdW) materials have accelerated the development of nanophotonics. However, traditional high refractive index materials, such as titanium dioxide (TiO2), still d
Externí odkaz:
http://arxiv.org/abs/2410.08771