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Systèmes dynamiques algébriquement complètement intégrables et géométrie
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 In this paper I present the basic ideas and properties of the complex algebraic completely integrable dynamical systems. These are integrable systems whose trajectories are straight line motions on complex algebraic tori (abelian varieties). We make, via
Lesfari A.
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Low-overhead non-Clifford fault-tolerant circuits for all non-chiral abelian topological phases [PDF]
QuantumWe propose a family of explicit geometrically local circuits on a 2-dimensional planar grid of qudits, realizing any abelian non-chiral topological phase as an actively error-corrected fault-tolerant memory.
Andreas Bauer
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Genus Integration, Abelianization, and Extended Monodromy [PDF]
International Mathematics Research Notices, 2019 Abstract Given a Lie algebroid we discuss the existence of a smooth abelian integration of its abelianization. We show that the obstructions are related to the extended monodromy groups introduced recently in [9]. We also show that this groupoid can be obtained by a path-space construction, similar to the Weinstein groupoid of [6], but ...
Contreras, Ivan, Fernandes, Rui Loja
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A Trapezoid Type Inequality for Double Integrals [PDF]
, 2000 In this paper, we point out a trapezoid like inequality for double integrals and apply it in connection with the Grüss ...
Dragomir, Sever S, Barnett, Neil S
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Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings
Journal of High Energy Physics, 2019 We investigate one-loop four-point scattering of non-abelian gauge bosons in heterotic string theory and identify new connections with the corresponding open-string amplitude.
Jan E. Gerken +2 more
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SEMI-ABELIAN SURFACES AND INTEGRABLE SYSTEMS [PDF]
Proceedings of the Edinburgh Mathematical Society, 2001 AbstractWe study some weight-homogeneous systems which are not algebraically completely integrable (ACI) in the sense of Adler and van Moerebeke, but whose invariant level surface completes into a semi-abelian variety by adding a set of points (thus ACI in the sense of Mumford).AMS 2000 Mathematics subject classification: Primary 37J35. Secondary 14H70;
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Classical dynamics of vortex solitons from perturbative scattering amplitudes
Journal of High Energy Physics, 2023 We introduce a novel point-particle effective description of ANO vortex solitons in the critical Abelian Higgs Model (AHM) in d = 2 + 1 based on the small winding expansion.
Callum R. T. Jones
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Integral Quartic Cayley Graphs on Abelian Groups [PDF]
The Electronic Journal of Combinatorics, 2011 A graph is called integral, if its adjacency eigenvalues are integers. In this paper we determine integral quartic Cayley graphs on finite abelian groups. As a side result we show that there are exactly $27$ connected integral Cayley graphs up to $11$ vertices.
Alireza Abdollahi, Ebrahim Vatandoost
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The moduli space of (111)-polarized abelian surfaces is unirational [PDF]
, 2001 We prove that the moduli space $\cal A$11lev of (1,11)-polarized Abelian surfaces with level structure of canonical type is birational to Klein's cubic hypersurface in P4.
Sorin Popescu +3 more
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Some exactly solvable models of urn process theory [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We establish a fundamental isomorphism between discrete-time balanced urn processes and certain ordinary differential systems, which are nonlinear, autonomous, and of a simple monomial form.
Philippe Flajolet +2 more
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