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A Lie system is a non-autonomous system of ordinary differential equations describing the integral curves of a $t$-dependent vector field taking values in a finite-dimensional Lie algebra of vector fields. Lie systems have been generalised…

Mathematical Physics · Physics 2023-04-25 J. F. Cariñena , J. de Lucas , C. Sardón

This is a survey article dedicated to the study of topological quantities in theory of normal metals discovered in the works of the authors during the last years. Our results are based on the theory of dynamical systems on Fermi surfaces.…

Mathematical Physics · Physics 2007-05-23 A. Ya. Maltsev , S. P. Novikov

The Fermi-Pasta-Ulam-Tsingou (FPUT) problem addresses fundamental questions in statistical physics, and attempts to understand the origin of recurrences in the system have led to many great advances in nonlinear dynamics and mathematical…

Statistical Mechanics · Physics 2023-09-06 Santhosh Ganapa

In this paper, we give a notation on the Singleton bounds for linear codes over a finite commutative quasi-Frobenius ring in the work of Shiromoto [5]. We show that there exists a class of finite commutative quasi-Frobenius rings. The…

Information Theory · Computer Science 2016-11-29 Yongsheng Tang , Heqian Xu , Zhonghua Sun

The asymptotic decision theory by Le Cam and Hajek has been given a lucid perspective by the Ibragimov-Hasminskii theory on convergence of the likelihood random field. Their scheme has been applied to stochastic processes by Kutoyants, and…

Statistics Theory · Mathematics 2022-01-03 Nakahiro Yoshida

We describe all the quasi-bialgebra structures of a group algebra over a torsion-free abelian group. They all come out to be triangular in a unique way. Moreover, up to an isomorphism, these quasi-bialgebra structures produce only one…

Quantum Algebra · Mathematics 2013-02-12 Alessandro Ardizzoni , Daniel Bulacu , Claudia Menini

A quasi-schemoid is a small category with a particular partition of the set of morphisms. We define a homotopy relation on the category of quasi-schemoids and study its fundamental properties. As a homotopy invariant, the homotopy set of…

Category Theory · Mathematics 2014-10-27 Katsuhiko Kuribayashi

Quasi-localised modes appear in the vibrational spectrum of amorphous solids at low-frequency. Though never formalised, these modes are believed to have a close relationship with other important local excitations, including shear…

Soft Condensed Matter · Physics 2019-03-06 Wencheng Ji , Marko Popović , Tom W. J. de Geus , Edan Lerner , Matthieu Wyart

We give a self-consistent theory of the scale dependent effective mass enhancement m*/m of quasiparticles by 3D antiferromagnetic (AFM) spin fluctuations in the presence of disorder at an AFM quantum critical point. The coupling of…

Strongly Correlated Electrons · Physics 2013-05-29 Peter Wölfle , Elihu Abrahams

The concept of an adequate transversal of an abundant semigroup was introduced by El-Qallali in [8] whilst in [7], he and Fountain initiated the study of quasi-adequate semigroups as natural generalisations of orthodox semigroups. In this…

Group Theory · Mathematics 2010-03-23 Jehan Al-Bar , James Renshaw

We introduce the notion of quasi-log complex analytic spaces and establish various fundamental properties. Moreover, we prove that a semi-log canonical pair naturally has a quasi-log complex analytic space structure. This paper is part of…

Algebraic Geometry · Mathematics 2025-02-04 Osamu Fujino

We put on a rigorous basis results of Aisaka and Aldo Arroyo on curved {\beta}{\gamma} systems on a quadric. Drinfeld's quasimaps turned to be indispensable in accurate computation of mini-BRST cohomology.

Quantum Algebra · Mathematics 2010-08-05 M. V. Movshev

We introduce the notion of quasi-BNS invariants, where we replace homomorphism to $\mathbb R$ by homogenous quasimorphisms to $\mathbb R$ in the theory of Bieri-Neumann-Strebel invariants. We prove that the quasi-BNS invariant $Q\Sigma(G)$…

Group Theory · Mathematics 2022-10-20 Nicolaus Heuer , Dawid Kielak

A comprehensive review of the equations of general relativity in the quasi-Maxwellian (QM) formalism introduced by Jordan, Ehlers and Kundt is made. Our main interest concerns its applications to the analysis of the perturbation of standard…

General Relativity and Quantum Cosmology · Physics 2015-06-15 M. Novello , E. Bittencourt , J. M. Salim

This work proposes block-coordinate fixed point algorithms with applications to nonlinear analysis and optimization in Hilbert spaces. The asymptotic analysis relies on a notion of stochastic quasi-Fej\'er monotonicity, which is thoroughly…

Optimization and Control · Mathematics 2015-04-20 Patrick L. Combettes , Jean-Christophe Pesquet

The square root modulo problem is a known primitive in designing an asymmetric cryptosystem. It was first attempted by Rabin. Decryption failure of the Rabin cryptosystem caused by the 4-to-1 decryption output is overcome efficiently in…

Information Theory · Computer Science 2012-11-15 M. R. K. Ariffin , M. A. Asbullah , N. A. Abu

Unlike ferromagnetism, antiferromagnetism cannot readily be included in the quasiclassical Keldysh theory because of the rapid spatial variation in the directions of the magnetic moments. The quasiclassical framework is useful because it…

Superconductivity · Physics 2023-05-19 Eirik Holm Fyhn , Arne Brataas , Alireza Qaiumzadeh , Jacob Linder

We introduce quasi-invariant polynomials for an arbitrary finite complex reflection group W. Unlike in the Coxeter case, the space Q_k of quasi-invariants of a given multiplicity is not, in general, an algebra but a module over the…

Representation Theory · Mathematics 2014-01-14 Yuri Berest , Oleg Chalykh

The notion of quasi-elliptic rings appeared as a result of an attempt to classify a wide class of commutative rings of operators found in the theory of integrable systems, such as rings of commuting differential, difference,…

Algebraic Geometry · Mathematics 2023-10-02 Alexander Zheglov

In this paper, we seek to prove the equality of the $q$-graded fermionic sums conjectured by Hatayama et al. in its full generality, by extending the results of Di Francesco and Kedem to the non-simply laced case. To this end, we will…

Quantum Algebra · Mathematics 2020-12-24 Mingyan Simon Lin
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