Zobrazeno 1 - 10
of 217
pro vyhledávání: '"Andrei Gabrielov"'
Autor:
Alexandre Eremenko, Andrei Gabrielov
Publikováno v:
Zurnal matematiceskoj fiziki, analiza, geometrii. 16:263-282
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::daacb43dcb38bfaa9408b90230e8d8e5
https://doi.org/10.15407/mag16.03.263
https://doi.org/10.15407/mag16.03.263
Autor:
Lev Birbrair, Andrei Gabrielov
We consider a special case of the outer bi-Lipschitz classification of real semialgebraic (or, more general, definable in a polynomially bounded o-minimal structure) surface germs, obtained as a union of two normally embedded Hölder triangles. We de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cef5c743ace5fe95d512188fd75dec93
Autor:
Andrei Gabrielov, Emanoel Souza
Publikováno v:
Selecta Mathematica. 28
We study outer Lipschitz geometry of real semialgebraic or, more general, definable in a polynomially bounded o-minimal structure over the reals, surface germs. In particular, any definable H\"older triangle is either Lipschitz normally embedded or c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fefa8bd577a518722b009953fac234d1
https://doi.org/10.1007/s00029-021-00716-4
https://doi.org/10.1007/s00029-021-00716-4
Publikováno v:
Communications in Contemporary Mathematics. 24
The topology of the moduli space for Lamé functions of degree [Formula: see text] is determined: this is a Riemann surface which consists of two connected components when [Formula: see text]; we find the Euler characteristics and genera of these com
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::809ad204069056bed06eef44f47abf34
https://doi.org/10.1142/s0219199721500280
https://doi.org/10.1142/s0219199721500280
Autor:
Lev Birbrair, Andrei Gabrielov
Publikováno v:
Introduction to Lipschitz Geometry of Singularities ISBN: 9783030618063
A link of an isolated singularity of a two-dimensional semialgebraic surface in \({\mathbb R}^4\) is a knot (or a link) in S3. Thus the ambient Lipschitz classification of surface singularities in \({\mathbb R}^4\) can be interpreted as a metric refi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a7b8aec43c428d19c21e8c978052efe5
https://doi.org/10.1007/978-3-030-61807-0_6
https://doi.org/10.1007/978-3-030-61807-0_6
Publikováno v:
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :81-92
In this paper we study Lipschitz contact equivalence of continuous function germs in the plane definable in a polynomially bounded o-minimal structure, such as semialgebraic and subanalytic functions. We partition the germ of the plane at the origin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6f842c7053c384ee066ea95f67b07950
https://doi.org/10.2422/2036-2145.201503_014
https://doi.org/10.2422/2036-2145.201503_014
Autor:
Nicolai Vorobjov, Andrei Gabrielov
Publikováno v:
Gabrielov, A & Vorobjov, N 2017, ' Topological lower bounds for arithmetic networks ', Computational Complexity, vol. 26, no. 3, pp. 687-715 . https://doi.org/10.1007/s00037-016-0145-8
We prove a complexity lower bound on deciding membership in a semialgebraic set for arithmetic networks in terms of the sum of Betti numbers with respect to "ordinary" (singular) homology. This result complements a similar lower bound by Montana, Mor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb7b0530e367f377400e2a105a1b33bc
https://doi.org/10.1007/s00037-016-0145-8
https://doi.org/10.1007/s00037-016-0145-8
Autor:
Andrei Gabrielov, Lev Birbrair
We present a series of examples of pairs of singular semialgebraic surfaces (real semialgebraic sets of dimension two) in ${\mathbb R}^3$ and ${\mathbb R}^4$ which are bi-Lipschitz equivalent with respect to the outer metric, ambient topologically eq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38940d54a955d7378464dd2654f098ad
Autor:
Alexandre Eremenko, Andrei Gabrielov
We consider one-dimensional Schr\"odinger equations with homogeneous potential, under appropriate PT-symmetric boundary conditions. We prove the phenomenon which was discovered by Bender and Boettcher by numerical computation: as the degree of the po
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0104129262f3d0d5b29219dd8703d575
Autor:
Andrei Gabrielov, Alexandre Eremenko
We study real solutions of a class of Painleve VI equations. To each such solution we associate a geometric object, a one-parametric family of circular pentagons. We describe an algorithm which permits to compute the numbers of zeros, poles, 1-points
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02ba56980d3480d49676c100e0b0a21b
http://arxiv.org/abs/1611.01356
http://arxiv.org/abs/1611.01356