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Fractional calculus of variation plays an important role to formulate the non-conservative physical problems. In this paper we use semi-inverse method and fractional variational principle to formulate the fractional order generalized…

Analysis of PDEs · Mathematics 2017-12-21 Uttam Ghosh , Susmita Sarkar , Shantanu Das

Combining heavy quark effective theory and the chiral Lagrangian approach we investigate radiative decays of pseudoscalar $D$ mesons. We first reanalyse $D^{*} \rightarrow D \gamma$ decays within the effective Lagrangian approach using…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Bajc , S. Fajfer , R. J. Oakes

Currently, our general approach to retrieving molecular structures from ultrafast gas-phase diffraction heavily relies on complex ab initio electronic or vibrational excited state simulations to make conclusive interpretations. Without such…

Dissipative systems play a very important role in several physical models, most notably in Celestial Mechanics, where the dissipation drives the motion of natural and artificial satellites, leading them to migration of orbits, resonant…

Dynamical Systems · Mathematics 2020-07-17 Renato Calleja , Alessandra Celletti , Rafael de la Llave

Given a smooth morphism of schemes $X\rightarrow T$, denote by $\mathcal D_{X/T}^{\mathsf{cr}}$ the sheaf of rings of fiberwise crystalline differential operators on $X$ relative to $T$ and by $\Omega^\bullet_{X/T}$ the de Rham sheaf of…

Algebraic Geometry · Mathematics 2025-09-30 Leonid Positselski

In pseudo integrable systems diffractive scattering caused by wedges and impurities can be described within the framework of Geometric Theory of Diffraction (GDT) in a way similar to the one used in the Periodic Orbit Theory of Diffraction…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 G. Vattay , J. Cserti , G. Palla , G. Szálka

Given a subvariety $V$ of the complex algebraic torus ${\mathbb G}_{\rm m}^n$ defined by polynomials of total degree at most $d$ and a power map $\phi: {\mathbb G}_{\rm m}^n \to {\mathbb G}_{\rm m}^n$, the points ${\bf x}$ whose forward…

Number Theory · Mathematics 2008-04-27 Iskander Aliev , Chris Smyth

We establish a "matrix simultaneous diagonalization theorem" for disconnected reductive groups which relaxes both the semisimplicity condition and the commutativity condition. As an application, we prove the following basic results…

Number Theory · Mathematics 2023-10-12 Zhongyipan Lin

Let K be an arbitrary number field, and let rho: Gal(Kbar/K) -> GL_2(E) be a nearly ordinary irreducible geometric Galois representation. In this paper, we study the nearly ordinary deformations of rho. When K is totally real and rho is…

Number Theory · Mathematics 2008-01-17 Frank Calegari , Barry Mazur

We present a new method to introduce scalar potentials to gauge-invariant chiral models coupled to supergravity. The theories under consideration contain consistent higher-derivative terms which do not give rise to instabilities and ghost…

High Energy Physics - Theory · Physics 2012-11-26 Fotis Farakos , Alex Kehagias

We study the existence and uniqueness of the solution for the following backward stochastic variational inequality with oblique reflection (for short, $BSVI\left(H(t,y),\varphi,F\right)$), written under differential form \[…

Probability · Mathematics 2013-10-04 Anouar Gassous , Aurel Rascanu , Eduard Rotenstein

Let $G$ be a connected, linear real reductive group. We give sufficient conditions ensuring the well-definedness of the delocalized eta invariant $\eta_g (D_X)$ associated to a Dirac operator $D_X$ on a cocompact $G$-proper manifold $X$ and…

Differential Geometry · Mathematics 2023-07-20 Paolo Piazza , Hessel Posthuma , Yanli Song , Xiang Tang

We extend our previous definition of K-theoretic invariants for operator systems based on hermitian forms to higher K-theoretical invariants. We realize the need for a positive parameter $\delta$ as a measure for the spectral gap of the…

Operator Algebras · Mathematics 2024-11-06 Walter D. van Suijlekom

We study the $\tau \to \nu_\tau A$ decay, with $A$ an axial-vector meson. We produce the $a_1(1260)$ and $b_1(1235)$ resonances in the Cabibbo favored mode and two $K_1(1270)$ states in the Cabibbo suppressed mode. We take advantage of…

High Energy Physics - Phenomenology · Physics 2020-08-26 L. R. Dai , L. Roca , E. Oset

The invariants in half-maximal supergravity theories in D=4,5 are discussed in detail up to dimension eight (e.g. R^4). In D=4, owing to the anomaly in the rigid SL(2,R) duality symmetry, the restrictions on divergences need careful…

High Energy Physics - Theory · Physics 2015-06-15 G. Bossard , P. S. Howe , K. S. Stelle

In [F. Caselli, Involutory reflection groups and their models, J. Algebra 24 (2010), 370--393] there is constructed a uniform Gelfand model for all non-exceptional irreducible complex reflection groups which are involutory. Such model can…

Combinatorics · Mathematics 2011-01-27 Fabrizio Caselli , Roberta Fulci

In {\gamma} Doradus stars, gravito-inertial modes in the radiative zone and inertial modes in the convective core can interact resonantly, which translates into the appearance of dip structures in the period spacing of modes. Those dips are…

Solar and Stellar Astrophysics · Physics 2024-09-18 Marion Galoy , François Lignières , Jérôme Ballot

The radial velocity (RV) detection of exoplanets is challenged by stellar spectroscopic variability that can mimic the presence of planets and by instrumental instability that can further obscure the detection. Both stellar and instrumental…

Earth and Planetary Astrophysics · Physics 2022-08-24 Jinglin Zhao , Eric B. Ford , Chris G. Tinney

Here we advance the study of boundary the value problem for extremal functions of mean distortion and the associated Teichm\"uller spaces interpolating between the classical examples of extremal quasiconformal mappings, and the more recent…

Complex Variables · Mathematics 2026-01-09 Gaven Martin , Cong Yao

A degenerate perturbation $k\cdot p$ approach for effective mass calculations is implemented in the all-electron density functional theory (DFT) package WIEN2k. The accuracy is tested on major group IVA, IIIA-VA, and IIB-VIA semiconductor…

Materials Science · Physics 2022-01-06 Oleg Rubel , Fabien Tran , Xavier Rocquefelte , Peter Blaha