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In this review, we discuss recent progress in the explorations of topological materials beyond topological insulators; specifically, we focus on topological crystalline insulators and bulk topological superconductors. The basic concepts,…

Materials Science · Physics 2016-01-12 Yoichi Ando , Liang Fu

Lagrange spectra have been defined for closed submanifolds of the moduli space of translation surfaces which are invariant under the action of SL(2,R). We consider the closed orbit generated by a specific covering of degree 7 of the…

Dynamical Systems · Mathematics 2016-02-08 Pascal Hubert , Samuel Lelièvre , Luca Marchese , Corinna Ulcigrai

The superscaling properties of electron scattering data are used to extract model-independent predictions for neutrino-nucleus cross sections.

Nuclear Theory · Physics 2009-11-11 Maria B. Barbaro

Motivations for physics beyond the Standard Model are reviewed, with particular emphasis on supersymmetry at the TeV scale. Constraints on the minimal supersymmetric extension of the Standard Model with universal soft supersymmetry-breaking…

High Energy Physics - Phenomenology · Physics 2009-09-11 J. Ellis

These notes give a brief introduction to the category of spectra as defined in stable homotopy theory. In particular, Section 5 discusses an extensive list of examples of spectra whose properties have been found to be interesting.

Algebraic Topology · Mathematics 2020-01-29 Neil Strickland

The purpose of these lecture notes is to give a quick and introductory overview of holographic superconductors. Besides the actual description of the standard holographic superconductor, attention is paid to the motivations and the relation…

High Energy Physics - Theory · Physics 2014-02-17 Daniele Musso

We discuss hidden symmetries of three-dimensional field configurations revealed at the one-particle level by the use of pseudoclassical particle models. We argue that at the quantum field theory level, these can be naturally explained in…

High Energy Physics - Theory · Physics 2015-06-26 Khazret S. Nirov

This chapter presents an introduction to graph colouring algorithms. The focus is on vertex-colouring algorithms that work for general classes of graphs with worst-case performance guarantees in a sequential model of computation. The…

Data Structures and Algorithms · Computer Science 2015-05-22 Thore Husfeldt

The methods of obtaining the average spectral shape in a low statistics regime are presented. Different approaches to averaging are extensively tested with simulated spectra, based on the ASCA responses. The issue of binning up the spectrum…

Astrophysics · Physics 2009-11-10 Piotr Lubinski

High energy photon colliders based on laser backscattering are a very natural extension of a e+e- linear colliders and open new possibilities to study of the matter. This option has been included in the pre-conceptual designs of linear…

High Energy Physics - Experiment · Physics 2015-06-25 Valery Telnov

This is a slightly enlarged and corrected version of a contribution to the Oberwolfach Reports 3(1):511-552, 2006. We summarise some results on spectral properties of Laplacians on percolation graphs and more general Anderson-percolation…

Mathematical Physics · Physics 2007-05-23 Ivan Veselic'

The topological nature of the disorder of glasses and supercooled liquids strongly affects their high-frequency dynamics. In order to understand its main features, we analytically studied a simple topologically disordered model, where the…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

Classical models of computation have been successful in capturing the very essence of individual computing devices. Although they are useful to understand computability power and limitations in the small, such models are not suitable to…

Logic in Computer Science · Computer Science 2025-08-26 Damian Arellanes

Simplicial complexes constitute the underlying topology of interacting complex systems including among the others brain and social interaction networks. They are generalized network structures that allow to go beyond the framework of…

Disordered Systems and Neural Networks · Physics 2020-06-02 Joaquín J. Torres , Ginestra Bianconi

Theories in 5 dimensions with minimal supersymmetry are studied for domain-wall solutions and in the context of the AdS/CFT correspondence. The scalar manifold is a product of a very special real manifold and a quaternionic-Kaehler…

High Energy Physics - Theory · Physics 2009-11-07 Antoine Van Proeyen

For quantum (quasi)particles living on complex toboggan-shaped curves which spread over N Riemann sheets the approximate evaluation of topology-controlled bound-state energies is shown feasible. In a cubic-oscillator model the low-lying…

Quantum Physics · Physics 2010-01-07 Miloslav Znojil

The article is designed to explain to commutative algebraists what spectra (in the sense of algebraic topology) are, why they were originally defined, and how they can be useful for commutative algebra.

Algebraic Topology · Mathematics 2007-05-23 J. P. C. Greenlees

Every discipline in science or professional practice can be sub-divided into specialties and subspecialties. E.g., in medicine a doctor could indicate that their specialty is ophthalmology and their sub-specialty the retina, or in chemistry…

Image and Video Processing · Electrical Eng. & Systems 2022-06-22 Jan Morovic

We say that a semigroup of matrices has a submultiplicative spectrum if the spectrum of the product of any two elements of the semigroup is contained in the product of the two spectra in question (as sets). In this note we explore an…

Representation Theory · Mathematics 2025-09-17 Mitja Mastnak , Lindsey McNamara , Zhipeng Yu

We investigate the interplay between topological charge and the spectrum of the fermion matrix in lattice-QED_2 using analytic methods and Monte Carlo simulations with dynamical fermions. A new theorem on the spectral decomposition of the…

High Energy Physics - Lattice · Physics 2009-10-30 C. R. Gattringer , I. Hip , C. B. Lang