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We propose and constrain with the latest observational data three parameterizations of the deceleration parameter, valid from the matter era to the far future. They are well behaved and do not diverge at any redshift. On the other hand,…

General Relativity and Quantum Cosmology · Physics 2013-01-01 Diego Pavón , Ivan Duran , Sergio del Campo , Ramón Herrera

Nonuniform exponential dichotomy serves as an important characteristic of nonuniform hyperbolicity, while admissibility of function classes is often used to characterize nonuniform exponential dichotomy. In this paper, we investigate the…

Dynamical Systems · Mathematics 2026-03-12 Jiawei He , Jianhua Huang

We obtain the following characterization of $Q$-polynomial distance-regular graphs. Let $\G$ denote a distance-regular graph with diameter $d\ge 3$. Let $E$ denote a minimal idempotent of $\G$ which is not the trivial idempotent $E_0$. Let…

Combinatorics · Mathematics 2009-08-31 Aleksandar Jurisic , Paul Terwilliger , Arjana Zitnik

We consider instabilities of a single mode with finite wavenumber in inversion symmetric spatially one dimensional systems, where the character of the bifurcation changes from sub- to supercritical behaviour. Starting from a general…

patt-sol · Physics 2009-10-31 Wolfram Just , Frank Matthäus , Herwig Sauermann

A real $n$-by-$n$ idempotent matrix $A$ with all entries having the same absolute value is called {\it absolutely flat}. We consider the possible ranks of such matrices and herein characterize the triples: size, constant, and rank for which…

Operator Algebras · Mathematics 2007-05-23 Jonathan M. Groves , Yonatan Harel , Christopher J. Hillar , Charles R. Johnson , Patrick X. Rault

For a general class of gas models ---which includes discrete and continuous Gibbsian models as well as contour or polymer ensembles--- we determine a \emph{diluteness condition} that implies: (1) Uniqueness of the infinite-volume…

Mathematical Physics · Physics 2016-10-07 Roberto Fernández , Pablo Groisman , Santiago Saglietti

We describe all linear operators which maps $n-1$-dimensional simplex of idempotent measures to itself. Such operators divided to two classes: the first class contains all $n\times n$-matrices with non-negative entries which has at least…

Dynamical Systems · Mathematics 2012-02-02 U. A. Rozikov , M. M. Karimov

In this article, we mainly give the strictly copositive conditions of a special class of third order three dimensional symmetric tensors. More specifically, by means of the polynomial decomposition method, the analytic sufficient and…

Optimization and Control · Mathematics 2024-10-14 Min Li , Yisheng Song

We consider an isomorphism between the idempotent convexity based on the maximum and the addition operations and the idempotent measure convexity on the maximum and the multiplication operations. We use this isomorphism to investigate…

General Topology · Mathematics 2023-08-15 Dawid Krasiński , Taras Radul

A new method of analysing positive bistochastic maps on the algebra of complex matrices $M_{3}$ has been proposed. By identifying the set of such maps with a convex set of linear operators on $\mathbb{R}^{8}$, one can employ techniques from…

Mathematical Physics · Physics 2016-03-30 Marek Miller , Robert Olkiewicz

We are interested in abstract conditions that characterize homomorphic images of affine quandles. Our main result is a two-fold characterization of this class: one by a property of the displacement group, the other one by a property of the…

Group Theory · Mathematics 2020-06-11 Přemysl Jedlička , David Stanovský

We characterize the extreme points of multidimensional monotone functions from $[0,1]^n$ to $[0,1]$, as well as the extreme points of the set of one-dimensional marginals of these functions. These characterizations lead to new results for…

Theoretical Economics · Economics 2025-08-29 Frank Yang , Kai Hao Yang

A formulation of U(1) - symmetric classical membrane motions (preserving one rotational symmetry) is given, and reductions to systems of ODE's, as well as some ideas concerning singularities and integrability.

High Energy Physics - Theory · Physics 2008-06-02 Jens Hoppe

We present necessary conditions for monotonicity, in one form or another, of fixed point iterations of mappings that violate the usual nonexpansive property. We show that most reasonable notions of linear-type monotonicity of fixed point…

Optimization and Control · Mathematics 2020-03-26 D. Russell Luke , Marc Teboulle , Nguyen H. Thao

We investigate monotone idempotent $n$-ary semigroups. One of the main result of this article is the generalisation of Czogala-Drewniak Theorem, which describes the idempotent monotone associative functions having neutral element.…

Group Theory · Mathematics 2017-11-16 Gergely Kiss , Gábor Somlai

We derive some new conditions for integrability of dynamically defined C^1 invariant splittings in arbitrary dimension and co-dimension. In particular we prove that every 2-dimensional C^1 invariant decomposition on a 3-dimensional manifold…

Dynamical Systems · Mathematics 2015-04-02 Stefano Luzzatto , Sina Tureli , Khadim War

The aim of this paper is to provide a discussion on current directions of research involving typical singularities of 3D nonsmooth vector fields. A brief survey of known results is presented. The main purpose of this work is to describe the…

Dynamical Systems · Mathematics 2019-02-06 Otávio M. L. Gomide , Marco A. Teixeira

The purpose of this paper is to study the commutative pseudomeadows, the structure which is defined in the same way as commutative meadows, except that the existence of a multiplicative identity is not required. We extend the…

Commutative Algebra · Mathematics 2020-01-24 Hamid Kulosman

We investigate the size of fixed point sets of automorphisms of bounded domains in $\mathbb{C}^n$. In one complex variable, a nontrivial automorphism has at most two fixed points, but in higher dimensions fixed point sets need not be…

Complex Variables · Mathematics 2026-04-10 Bharathi Thiruvengadam , Jaikrishnan Janardhanan

In dynamical systems composed of interacting parts, conditional exponents, conditional exponent entropies and cylindrical entropies are shown to be well defined ergodic invariants which characterize the dynamical selforganization and…

adap-org · Physics 2009-10-30 R. Vilela Mendes