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The main methods for controlling the biphoton field, as well as the problems for which the width and the shape of the spectrum of the biphoton field are of decisive importance, are discussed. The method for controlling the spectrum of the…

Quantum Physics · Physics 2011-04-06 K. G. Katamadze , S. P. Kulik

A brief discussion of the recent interest in light scalar mesons motivates the study of a generalized linear sigma model. In an SU(3) flavor invariant version of the model there is a prediction that the the lighter scalars have sizeable…

High Energy Physics - Phenomenology · Physics 2008-11-26 Amir H. Fariborz , Renata Jora , Joseph Schechter

The article is devoted to microbundles over topological rings. Their structure, homomorphisms, automorphisms and extensions are studied. Moreover, compactifications and inverse spectra of microbundles over topological rings are…

General Topology · Mathematics 2019-03-29 Sergey V. Ludkovsky

I explain what is, what is not, and what is only sort of superresolution microscopy. I discuss optical resolution, first in terms of diffraction theory, then in terms of linear systems theory, and finally in terms of techniques that use…

Optics · Physics 2015-04-02 John Bechhoefer

Scaling properties of gamma-spectra recorded by semiconductor detectors are investigated. For practical purposes the method of simulation multicomponent spectra using single experimental spectrum are suggested.

Instrumentation and Detectors · Physics 2012-11-21 E. G. Obrazovskii

We study the topology of a class of proper submodules and some of its distinguished subclasses and call them structure spaces. We give several criteria for the quasi-compactness of these structure spaces. We study $T_0$ and $T_1$ separation…

Rings and Algebras · Mathematics 2023-04-18 Amartya Goswami

The local spectrum of a vertex set in a graph has been proven to be very useful to study some of its metric properties. It also has applications in the area of pseudo-distance-regularity around a set and can be used to obtain quasi-spectral…

Combinatorics · Mathematics 2012-12-18 M. Cámara , J. Fàbrega , M. A. Fiol , E. Garriga

We briefly review recent developments in the theory of supermembranes and supermatrix models. In a second part we discuss their interaction with background fields. In particular, we present the full background field coupling for the bosonic…

High Energy Physics - Theory · Physics 2007-05-23 B. de Wit , K. Peeters , J. C. Plefka

Covering model provides a general framework for granular computing in that overlapping among granules are almost indispensable. For any given covering, both intersection and union of covering blocks containing an element are exploited as…

Artificial Intelligence · Computer Science 2011-12-08 Wan-Li Chen

We discuss the possibility for the spectrum of topologically massive quantum electrodynamics with spinor matter fields to contain unexpected and unusual stable particle excitations for certain values of the topological photon mass. The new…

High Energy Physics - Theory · Physics 2015-06-26 Mikhail I. Dobroliubov , David Eliezer , Ian I. Kogan , Gordon W. Semenoff , Richard J. Szabo

In this paper, we study the problem of reproducing the world lighting from a single image of an object covered with random specular microfacets on the surface. We show that such reflectors can be interpreted as a randomized mapping from the…

Computer Vision and Pattern Recognition · Computer Science 2014-12-30 Zhengdong Zhang , Phillip Isola , Edward H. Adelson

Let X be a definable sub-set of some o-minimal structure. We study the spectrum of X, in relation with the definability of types.

Logic · Mathematics 2007-05-23 Antongiulio Fornasiero

In this work we investigate lump-like solutions in models described by a single real scalar field. We start considering non-topological solutions with the usual lump-like form, and then we study other models, where the bell-shape profile…

High Energy Physics - Theory · Physics 2014-11-18 A. T. Avelar , D. Bazeia , L. Losano , R. Menezes

We introduce submodular hypergraphs, a family of hypergraphs that have different submodular weights associated with different cuts of hyperedges. Submodular hypergraphs arise in clustering applications in which higher-order structures carry…

Machine Learning · Computer Science 2018-10-12 Pan Li , Olgica Milenkovic

We give the site-theoretic account of the spectral construction as first introduced by Coste. We provide a detailed examination of the geometric properties of the spectrum, in particular what classes of topoi it produces when applied to the…

Category Theory · Mathematics 2023-11-17 Axel Osmond

Spectral subspaces of a linear dynamical system identify a large class of invariant structures that highlight/isolate the dynamics associated to select subsets of the spectrum. The corresponding notion for nonlinear systems is that of…

Dynamical Systems · Mathematics 2023-08-03 Gergely Buza

In this paper, the structured pseudospectrum of non-archimedean matrices and structured pseudospectrum of non-archimedean matrix pencils are introduced. Many results are proved about them and we give a few examples.

Rings and Algebras · Mathematics 2025-01-23 Jawad Ettayb

One of the most powerful ideas in the study and classification of algebraic varieties is the notion of a model: that is, to single out an object, in the appropriate isomorphism class, with nice properties. This survey aims to define and…

Algebraic Geometry · Mathematics 2025-11-11 Giacomo Graziani

There has been quite some activity and progress concerning spectral asymptotics of random operators that are defined on percolation subgraphs of different types of graphs. In this short survey we record some of these results and explain the…

Mathematical Physics · Physics 2015-03-13 Peter Müller , Peter Stollmann

The study of topological phases of light suggests novel opportunities for creating robust optical structures and on-chip photonic devices which are immune against scattering losses and structural disorder. However, many recent…

Optics · Physics 2021-10-26 Dmitry V. Zhirihin , Yuri S. Kivshar