Zobrazeno 1 - 10
of 221
pro vyhledávání: '"Boris Shapiro"'
Publikováno v:
Physical Review Research, Vol 3, Iss 3, p 033219 (2021)
We establish dispersion engineering rules that allow us to control the thermalization process and the thermal state of an initial beam propagating in a multimode nonlinear photonic circuit. To this end, we have implemented a kinetic equation (KE) app
Externí odkaz:
https://doaj.org/article/20e3bc8b004f4270a04de14c4c37b410
Publikováno v:
Physical Review X, Vol 10, Iss 3, p 031024 (2020)
We investigate the collective dynamics of nonlinearly interacting modes in multimode photonic settings. To this end, we have established a connection with the theory of spin networks. The emerging “photonic spins” are complex, soft (their size is
Externí odkaz:
https://doaj.org/article/4d62e97c7a714d95a037c346f612e20e
Autor:
Boris Shapiro, František Štampach
Publikováno v:
Constructive Approximation.
We announce an error in the proof of Theorem 8 of Constr.Approx.48(2) (2019) 191–226.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67392c4a7d600f54fa7367f8de5d6de1
https://doi.org/10.1007/s00365-022-09614-0
https://doi.org/10.1007/s00365-022-09614-0
Publikováno v:
The State of the Quantum Vacuum ISBN: 9789811266072
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd3fa0686426da6205dd6a657cb8bc55
https://doi.org/10.1142/9789811266089_0010
https://doi.org/10.1142/9789811266089_0010
Time metamaterials exhibit a great potential for wave manipulation, drawing increasing attention in recent years. Here, we explore the exotic wave dynamics in an anisotropic photonic time crystal (APTC), formed by an anisotropic medium whose optical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3513af36a928b4a722231308290fbed5
http://arxiv.org/abs/2209.10964
http://arxiv.org/abs/2209.10964
Autor:
Boris Shapiro, Yuliy Baryshnikov
Publikováno v:
Journal d'Analyse Mathématique. 144:1-19
In this paper, motivated by the classical notion of a Strebel quadratic differential on a compact Riemann surface without boundary, we introduce several more general classes of quadratic differentials (called non-chaotic, gradient, and positive gradi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::46e8d1cda42aa9bcfa9759132d6a9bfa
https://doi.org/10.1007/s11854-021-0158-3
https://doi.org/10.1007/s11854-021-0158-3
The isodynamic points of a plane triangle are known to be the only pair of its centers invariant under the action of the Mobius group on the set of triangles. Generalizing this classical result, we introduce below the isodynamic map associating to a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::318306052e5ba7ed01ca4e4e21b0cf95
http://arxiv.org/abs/2207.01658
http://arxiv.org/abs/2207.01658
Autor:
Boris Shapiro, Michael Shapiro
Publikováno v:
International Journal of Mathematics. 33
As was pointed out by S. Karp, Theorem B of paper [V. Sedykh and B. Shapiro, On two conjectures concerning convex curves, Int. J. Math. 16(10) (2005) 1157–1173] is wrong. Its claim is based on an erroneous example obtained by multiplication of thre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9408c9b49bdc7c7725ef6f1253d0bfdf
https://doi.org/10.1142/s0129167x22920021
https://doi.org/10.1142/s0129167x22920021
Publikováno v:
International Mathematics Research Notices. 2021:11140-11168
In this paper we describe the algebraic relations satisfied by the harmonic and anti-harmonic moments of simply connected, but not necessarily convex planar polygons with a given number of vertices.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e162e786e8574b258d2d13ecbbbef100
https://doi.org/10.1093/imrn/rnz394
https://doi.org/10.1093/imrn/rnz394
Autor:
Boris Shapiro, Miloš Tater
Publikováno v:
Analysis and Mathematical Physics. 12
Motivated by the earlier results of Masoero and De Benedetti (Nonlinearity 23:2501, 2010) and Shapiro et al. (Commun Math Phys 311(2):277–300, 2012), we discuss below the asymptotic of the solvable part of the spectrum for the quasi-exactly solvabl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38a9a326c4bc2693b258c1b5147f25ee
https://doi.org/10.1007/s13324-021-00612-2
https://doi.org/10.1007/s13324-021-00612-2