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We present a novel approach of modelling surface light scattering in the context of freeform optical design. The model relies on energy conservation and optimal transport theory. For isotropic scattering in cylindrically or rotationally…

Scaling limits of critical percolation models show major differences between low and high dimensional models. The article discusses the formulation of the continuum limit for the former case. A mathematical framework is proposed for the…

Statistical Mechanics · Physics 2009-09-25 Michael Aizenman

In this paper we explain and discuss some fundamental features of various models which are QCD-based and proposed to explain the hadron spectrum.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. R. Haghpayma

We study how the scalar power spectrum of single-scalar inflation depends functionally on models with features which have been proposed to explain anomalies in the data. We exploit a new formalism based on evolving the norm-squared of the…

General Relativity and Quantum Cosmology · Physics 2016-09-27 D. J. Brooker , N. C. Tsamis , R. P. Woodard

We survey work on coloring, list coloring, and painting squares of graphs; in particular, we consider strong edge-coloring. We focus primarily on planar graphs and other sparse classes of graphs.

Combinatorics · Mathematics 2026-04-16 Daniel W. Cranston

The notions of spectral measures and spectral classes, which are well known for graphs, are generalized and investigated for oriented hypergraphs.

Combinatorics · Mathematics 2021-02-16 Raffaella Mulas

We revisit the bottomonium spectrum motivated by the recently exciting experimental progress in the observation of new bottomonium states, both conventional and unconventional. Our framework is a nonrelativistic constituent quark model…

High Energy Physics - Phenomenology · Physics 2016-04-27 Jorge Segovia , Pablo G. Ortega , David R. Entem , Francisco Fernández

We study the Point/Tukey spectrum of a general directed set using PCF theoretic tools and uncover basic connections between the theories. In particular, we prove that if the supremum of the Tukey spectrum is singular, then its cofinality…

Logic · Mathematics 2026-03-03 Tom Benhamou

The pseudospectra (or spectral instability) of non-selfadjoint operators is a topic of current interest in applied mathematics. In fact, for non-selfadjoint operators the resolvent could be very large outside the spectrum, making the…

Analysis of PDEs · Mathematics 2010-03-05 Nils Dencker

Radially-polarized light beams present very interesting and useful behavior for creating small intensity spots when tightly-focused, and manipulating nanostructures or charged particles. The modeling of the propagation of such vector beams,…

Optics · Physics 2024-04-23 Spencer W. Jolly

We developed numerical code for calculation of the extragalactic component of the spectra of leptons, nucleons and $\gamma$-rays resulting from ``top-down'' (non-acceleration) models for the case of uniform and isotropic source…

Astrophysics · Physics 2007-05-23 O. E. Kalashev , V. A. Kuzmin , D. V. Semikoz

The current status of the theory of and the experimental evidence for color transparency are reviewed. The problems with interpretation of quasielastic scattering on nuclei are discussed to some detail.

Nuclear Theory · Physics 2007-05-23 N. N. Nikolaev , B. G. Zakharov

These notes offer a unified introduction to spectral methods for the study of complex systems. They are intended as an operative manual rather than a theorem-proof textbook: the emphasis is on tools, identities, and perspectives that can be…

Statistical Mechanics · Physics 2025-09-10 Francesco Caravelli

We study technicolor models in which all of the technifermions are color-singlets, focusing on the case in these fermions transform according to the fundamental representation of the technicolor gauge group. Our analysis includes a…

High Energy Physics - Phenomenology · Physics 2011-09-13 Thomas A. Ryttov , Robert Shrock

I present a model of topcolor-assisted technicolor that can have topcolor breaking of the desired pattern, hard masses for all quarks and leptons, mixing among the heavy and light generations, and explicit breaking of all technifermion…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kenneth Lane

These are some informal notes concerning topological vector spaces, with a brief overview of background material and basic notions, and emphasis on examples related to classical analysis.

Classical Analysis and ODEs · Mathematics 2007-05-23 Stephen Semmes

Multilayer networks represent systems in which there are several topological levels each one representing one kind of interaction or interdependency between the systems' elements. These networks have attracted a lot of attention recently…

Physics and Society · Physics 2015-04-22 Emanuele Cozzo , Guilherme Ferraz de Arruda , Francisco A. Rodrigues , Yamir Moreno

The theoretical expectations for the supersymmetric particle spectrum is reviewed and a brief overview on present constraints on supersymmetric models from collider experiments is presented. Finally, we discuss the discovery potential of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ralf Hempfling

In this work we study the collider phenomenology of color-octet scalars (sgluons) in minimal supersymmetric models endowed with a global continuous $R$ symmetry. We systematically catalog the significant decay channels of scalar and…

High Energy Physics - Phenomenology · Physics 2020-11-11 Linda M. Carpenter , Taylor Murphy , Matthew J. Smylie

In this note, we investigate a mixture of combinatorial spectra and stratified simplicial sets, which would be thought of as a model of the spectrum objects of $(\infty, \infty)$-categories.

Algebraic Topology · Mathematics 2023-12-19 Ryo Horiuchi