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A geometrical interpretation of the consistent and covariant chiral anomaly is done in the space-time respective Hamiltonian framework.

High Energy Physics - Theory · Physics 2009-10-31 C. Ekstrand

The spectral geometry of negatively curved manifolds has received more attention than its positive curvature counterpart. In this paper we will survey a variety of spectral geometry results that are known to hold in the context of…

Differential Geometry · Mathematics 2024-11-12 Emilio A. Lauret , Benjamin Linowitz

In this work, we give a description of Taylor spectrum of commuting 2- contractions in terms of characteristic functions of such contractions.The case of a single obtained by B.Sz.Nagy and C. Foias is generalised in this work.

Functional Analysis · Mathematics 2007-05-23 Berrabah Bendoukha

We study the stability of certain spectra under some algebraic conditions weaker than the commutativity and we generalize many known commutative perturbation results.

Functional Analysis · Mathematics 2022-07-19 Zakariae Aznay , Abdelmalek Ouahab , Hassan Zariouh

Complex network formalism allows to explain the behavior of systems composed by interacting units. Several prototypical network models have been proposed thus far. The small-world model has been introduced to mimic two important features…

Data Analysis, Statistics and Probability · Physics 2017-10-05 Paweł Oświȩcimka , Lorenzo Livi , Stanisław Drożdż

The distance of a binary operation from being associative can be "measured" by its associative spectrum, an appropriate sequence of positive integers. Particular instances and general properties of associative spectra are studied.

Rings and Algebras · Mathematics 2011-02-11 Béla Csákány , Tamás Waldhauser

In this paper, we discuss the dualities of the primordial perturbation spectra from various expanding/contracting phases for full space of parameter $w\equiv {p\over \rho}$ of state equation.

High Energy Physics - Theory · Physics 2009-11-10 Yun-Song Piao

The phenomenology of solar, atmospheric, supernova and laboratory neutrino oscillations is described. Analytical formulae for matter effects are reviewed. The results from oscillations are confronted with neutrinoless double beta decay.

High Energy Physics - Phenomenology · Physics 2009-10-31 G. Rajasekaran

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

We study the continuity, and dynamical properties (hypercyclicity, periodic vectors, and chaos) for a weighted backward shift $B_w$ on a weighted Bergman space $A^p_{\phi}$ based on the norm estimates of coefficient functionals on…

Functional Analysis · Mathematics 2025-11-19 Bibhash Kumar Das , Aneesh Mundayadan

We introduce two natural notions of Aluthge transforms (toral and spherical) for 2-variable weighted shifts and study their basic properties. Next, we study the class of spherically quasinormal $2$-variable weighted shifts, which are the…

Functional Analysis · Mathematics 2017-10-31 Raul E. Curto , Jasang Yon

Matching a target spectrum with known spectra in a spectral library is a common method for material identification in hyperspectral imaging research. Hyperspectral spectra exhibit precise absorption features across different wavelength…

Computer Vision and Pattern Recognition · Computer Science 2024-06-21 Sampriti Soor , Priyanka Kumari , B. S. Daya Sagar , Amba Shetty

In this paper we perform a numerical study of the spectra, eigenstates, and Lyapunov exponents of the skew-shift counterpart to Harper's equation. This study is motivated by various conjectures on the spectral theory of these…

Mathematical Physics · Physics 2016-08-24 Eric Bourgain-Chang

We give a refined description of the dominant spectrum of a non-local operator that models growth and equal mitosis of cells. More precisely we look at the spectrum in half planes at the right hand side of the first accumulation point of…

Analysis of PDEs · Mathematics 2024-09-24 Pierre Gabriel , Bruce van Brunt , Graeme Charles Wake , Ali Ashher Zaidi

A short introduction on elements of noncommutative geometry, which offers a purely geometric interpretation of the Standard Model and implies a higher derivative gravitational theory, is presented. Physical consequences of almost…

High Energy Physics - Theory · Physics 2016-05-13 Mairi Sakellariadou

I discuss the present situation with regard to a variety of theoretical topics in hadronic spin physics: (a) global analysis of the g1 data---positivity at leading and next-to-leading order, renormalisation-scheme dependence,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Philip G. Ratcliffe

Some properties of the inverse of the Normal distribution are studied. Its derivatives, integrals and asymptotic behavior are presented.

Classical Analysis and ODEs · Mathematics 2007-05-23 Diego Dominici

For the weighted Dirac eigenvalue problem, we show that the two-sided weighted spectrum depends continuously on the weight under continuous deformations within a uniformly elliptic class. Moreover, for differentiable families of weights we…

Spectral Theory · Mathematics 2026-04-14 Zixuan Qiu , Ruijun Wu

We generalize recent developments on normal forms and the spectral sequences method to make a foundation for parametric normal forms. We further introduce a new style and costyle to obtain unique parametric normal forms. The results are…

Dynamical Systems · Mathematics 2013-06-11 Majid Gazor , Pei Yu

Many biological, ecological and economic systems are best described by weighted networks, as the nodes interact with each other with varying strength. However, most network models studied so far are binary, the link strength being either 0…

Disordered Systems and Neural Networks · Physics 2009-11-07 S. H. Yook , H. Jeong , A. -L. Barabasi , Y. Tu