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In this paper we characterize certain class of almost Kenmotsu metrics satisfying the Miao-Tam equation.

Differential Geometry · Mathematics 2020-06-11 Dhriti Sundar Patra , Amalendu Ghosh

One of the main questions that arise when studying random and quasi-random structures is which properties P are such that any object that satisfies P "behaves" like a truly random one. In the context of graphs, Chung, Graham, and Wilson…

Combinatorics · Mathematics 2009-03-03 Asaf Shapira , Raphael Yuster

We introduce the notion of continuous orbit equivalence for partial dynamical systems, and give an equivalent characterization in terms of Cartan-isomorphisms for partial C*-crossed products. Both graph C*-algebras and semigroup C*-algebras…

Operator Algebras · Mathematics 2016-03-31 Xin Li

We explore two properties of backward orbits under semigroups of holomorphic self-maps in the unit disk. First, we prove that regular backward orbits are quasi-geodesics for the hyperbolic distance of the unit disk. Then, we show that…

Complex Variables · Mathematics 2022-10-04 Konstantinos Zarvalis

In this paper, we propose a general mechanism for the existence of quasicrystals in spatially extended systems (partial differential equations with Euclidean symmetry). We argue that the existence of quasicrystals with higher order…

Pattern Formation and Solitons · Physics 2025-02-04 Ian Melbourne , Jens Rademacher , Bob Rink , Sergey Zelik

In this work it is shown that certain interesting types of quasi-orthogonal system of subalgebras (whose existence cannot be ruled out by the trivial necessary conditions) cannot exist. In particular, it is proved that there is no…

Mathematical Physics · Physics 2010-02-02 Mihály Weiner

We study the properties of sequences of the energy eigenvalues for some generalizations of q-deformed oscillators including the p,q-oscillator, the 3-, 4- and 5-parameter deformed oscillators given in the literature. It is shown that most…

Quantum Physics · Physics 2011-10-25 A. M. Gavrilik , I. I. Kachurik , A. P. Rebesh

This paper presents a non-commutative generalization of the Pfaffian which we call a quasi-Pfaffian. This novel concept arises from solving linear systems with non-commutative skew-symmetric coefficients. A new non-commutative integrable…

Mathematical Physics · Physics 2025-11-26 Claire Gilson , Shi-Hao Li , Guo-Fu Yu

We numerically and experimentally achieve quasi-bound states in the continuums (BICs) with high-Q factors in the free-standing metal complementary periodic cross-shaped resonators (CPCRs) at terahertz (THz) frequencies. Such induced…

Optics · Physics 2020-07-17 Dejun Liu , Feng Wu , Lin Chen , Feng Liu

We propose a definition of Jacobi quasi-Nijenhuis algebroid and show that any such Jacobi algebroid has an associated quasi-Jacobi bialgebroid. Therefore, also an associated Courant-Jacobi algebroid is obtained. We introduce the notions of…

Differential Geometry · Mathematics 2011-10-05 Raquel Caseiro , Antonio De Nicola , Joana M. Nunes da Costa

We introduce and investigate the basic properties of an involutory (dual) quasi-Hopf algebra. We also study the representations of an involutory quasi-Hopf algebra and prove that an involutory dual quasi-Hopf algebra with non-zero integral…

Quantum Algebra · Mathematics 2008-12-09 D. Bulacu , S. Caenepeel , B. Torrecillas

The anyonic Hamiltonian is quantum mechanically given and the bosonic and the fermionic Hamiltonians are found as extremes by discussing the cases of the statistical parameter $\nu$ and the dimension of space. The anyonic algebra \cite{upa}…

High Energy Physics - Theory · Physics 2007-05-23 Jamila Douari

We generalize the notion of quasirandom which concerns a class of equivalent properties that random graphs satisfy. We show that the convergence of a graph sequence under the spectral distance is equivalent to the convergence using the…

Combinatorics · Mathematics 2013-11-06 Fan Chung

We provide a quiver setting for quasi-Hopf algebras, generalizing the Hopf quiver theory. As applications we obtain some general structure theorems, in particular the quasi-Hopf analogue of the Cartier theorem and the Cartier-Gabriel…

Quantum Algebra · Mathematics 2015-05-13 Hua-Lin Huang

We introduce the notion of a quasi-Frobenius algebra in a finite tensor category $\mathcal{C}$ and give equivalent conditions for an algebra in $\mathcal{C}$ to be quasi-Frobenius. A quasi-Frobenius algebra in $\mathcal{C}$ is not…

Quantum Algebra · Mathematics 2024-02-06 Kenichi Shimizu

The paper deals with quasigroups having a trivial group of automorphisms and a trivial group of autotopisms. Examples of such quasigroups and methods of their verification are given.

Group Theory · Mathematics 2009-05-26 Andriy I. Deriyenko , Ivan I. Deriyenko , Wieslaw A. Dudek

In a recent Letter [Phys. Rev. Lett. 111, 185304 (2013)], we proposed a scheme for realizing quantum quasicrystals using spin-orbit coupled dipolar bosons. We remarked that these quantum quasicrystals have additional ``phason''-like modes…

Quantum Gases · Physics 2013-12-24 Sarang Gopalakrishnan , Ivar Martin , Eugene A. Demler

In this paper, we develop the theory for classifying all the geometric fibrations of compact, connected, flat $n$-orbifolds, over a 1-orbifold, up to affine equivalence. We apply our classification theory to classify all the geometric…

Geometric Topology · Mathematics 2020-05-08 John G. Ratcliffe , Steven T. Tschantz

In this follow up work to [45, 33, 32, 46] we introduce and study a notion of geodesic stability restricted to rays with prescribed singularity types. A number of notions of interest fit into this framework, in particular algebraic- and…

Differential Geometry · Mathematics 2018-12-31 Zakarias Sjöström Dyrefelt

The interferometry-based experimental tests of quantum properties of space-time which the author sketched out in a recent short Letter [Nature 398 (1999) 216] are here discussed in self-contained fashion. Besides providing detailed…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Giovanni Amelino-Camelia
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