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Some improvements of the celebrated Schwarz inequality in complex inner product spaces are given. Applications for n-tuples of complex numbers are provided.

Functional Analysis · Mathematics 2017-09-08 Silvestru Sever Dragomir

In this paper an extension of the spectral Lanczos' tau method to systems of nonlinear integro-differential equations is proposed. This extension includes (i) linearization coefficients of orthogonal polynomials products issued from…

Numerical Analysis · Mathematics 2017-02-15 P. B. Vasconcelos , J. Matos , M. S. Trindade

A common goal in the study of high dimensional and complex system is to model the system by a low order representation. In this letter we propose a general approach for assessing the quality of a reduced order model for high dimensional…

Chaotic Dynamics · Physics 2010-03-02 Jie Sun , Erik M. Bollt , Takashi Nishikawa

In this paper, we investigate the process of massless scalar wave scattering due to a noncommutative black hole with a global monopole through the partial wave method. We computed the cross section of differential scattering and absorption…

High Energy Physics - Theory · Physics 2023-05-03 M. A. Anacleto , F. A. Brito , J. A. V. Campos , E. Passos

For dark compact objects such as black holes or wormholes, the shadow size has long been thought to be determined by the unstable photon sphere (region). However, by considering the asymmetric thin-shell wormhole (ATSW) model, we find that…

General Relativity and Quantum Cosmology · Physics 2020-11-23 Xiaobao Wang , Peng-Cheng Li , Cheng-Yong Zhang , Minyong Guo

Solitonic solution-generating methods are powerful tools to construct nontrivial black hole solutions of the higher-dimensional Einstein equations systematically. In five dimensions particularly, the solitonic methods can be successfully…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Hideo Iguchi , Keisuke Izumi , Takashi Mishima

In this short note, we consider the question of determining the asymptotics of the volume function near the boundary of the pseudoeffective cone on compact K\"ahler manifolds. We solve the question in a number of cases -- in particular, we…

Algebraic Geometry · Mathematics 2019-05-09 Nicholas McCleerey

We obtain symmetry results for solutions of an elliptic system of equation possessing a cooperative structure. The domain in which the problem is set may possess "holes" or "small vacancies" (measured in terms of capacity) along which the…

Analysis of PDEs · Mathematics 2019-04-04 Stefano Biagi , Enrico Valdinoci , Eugenio Vecchi

In this paper we discuss mechanical systems with inequality constraints. We demonstrate how such constraints can be taken into account by proper modification of the action which describes the original unconstrained dynamics. To illustrate…

Classical Physics · Physics 2023-04-25 Andrei V. Frolov , Valeri P. Frolov

We use a shadowing-type lemma in order to analyze the singular, semilinear elliptic equation describing static self-dual abelian Higgs vortices. Such an approach allows us to construct new solutions having an \textit{infinite} number of…

Analysis of PDEs · Mathematics 2007-05-23 Marta Macri' , Margherita Nolasco , Tonia Ricciardi

We review theories of Asymmetric Dark Matter (ADM), their cosmological implications and detection. While there are many models of ADM in the literature, our review of existing models will center on highlighting the few common features and…

High Energy Physics - Phenomenology · Physics 2015-06-16 Kathryn M. Zurek

Quantum computing may offer the opportunity to simulate strongly-interacting field theories, such as quantum chromodynamics, with physical time evolution. This would give access to Minkowski-signature correlators, in contrast to the…

High Energy Physics - Lattice · Physics 2021-01-13 Raúl A. Briceño , Juan V. Guerrero , Maxwell T. Hansen , Alexandru Sturzu

In this paper, we achieve new and improved numerical radius inequalities of operators defined on a Hilbert space by using Orlicz function and Hermite-Hadamard inequality. The upper bounds of various inequalities involving numerical radii…

Functional Analysis · Mathematics 2024-04-08 Amit Maji , Atanu Manna , Ram Mohapatra

In this paper, we study the chaotic dynamics of a continuous-time topological semi-flow on a Polish space.

Dynamical Systems · Mathematics 2015-01-12 Xiongping Dai

We briefly review some recent advances in the study of the shadows of rotating black holes in alternative theories. The size and the shape of the shadow depend on the mass and the angular momentum, and they can also depend on other…

General Relativity and Quantum Cosmology · Physics 2017-11-21 Leonardo Amarilla , Ernesto F. Eiroa

We investigate the numerical approximation of (discontinuous) entropy solutions to nonlinear hyperbolic conservation laws posed on a Lorentzian manifold. Our main result establishes the convergence of monotone and first-order finite volume…

Numerical Analysis · Mathematics 2007-12-10 Paulo Amorim , Philippe G. LeFloch , Bawer Okutmustur

This article provides the second part of the research initiated in arXiv:2411.17381, where we introduced and investigated so called periodicity shadows, which are special skew-symmetric matrices related to symmetric algebras with periodic…

Representation Theory · Mathematics 2024-12-05 Jerzy Białkowski , Adam Skowyrski

If the optical system of a telescope is perturbed from rotational symmetry, the Zernike wavefront aberration coefficients describing that system can be expressed as a function of position in the focal plane using spin-weighted Zernike…

Instrumentation and Methods for Astrophysics · Physics 2018-02-19 Stephen M. Kent

We reconsider the ellipsoid method for linear inequalities. Using the ellipsoid representation of Burrell and Todd, we show the method can be viewed as coordinate descent on the volume of an enclosing ellipsoid, or on a potential function,…

Optimization and Control · Mathematics 2023-09-27 Michael J. Todd

In this paper we obtain some weighted generalizations of Ostrowski type inequalities on time scales involving combination of weighted {\Delta}-integral means, i.e., a weighted Ostrowski type inequality on time scales involving combination…

Functional Analysis · Mathematics 2012-07-19 Wenjun Liu , Hüseyin Rüzgar , Adnan Tuna