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We study the compactification of the moduli space of a certain class of rank-two irregular connections on the Riemann sphere, presenting one double pole and two simple poles. To construct the compactification explicitly, we identify a class…

Algebraic Geometry · Mathematics 2026-04-23 Mattia Morbello

In the last year four new parametrizations of the Hadronic Photon Structure Function at Next to Leading Order have appeared. In this talk, I briefly review the main features of three of them: the FFNS_CJK, CJK and AFG.

High Energy Physics - Phenomenology · Physics 2007-05-23 Fernando Cornet

We prove that, for certain extensions of valued fields which admit a sensible theory of ramification groups, there exist canonical towers that correspond to the break-points of their Herbrand function. In particular, each of the…

Algebraic Geometry · Mathematics 2019-11-05 Velibor Bojković

The specificity of modal-expansion formalisms is their capabilities to model the physical properties in the natural resonance-state basis of the system in question, leading to a transparent interpretation of the numerical results. In…

Optics · Physics 2018-09-06 Wei Yan , Rémi Faggiani , Philippe Lalanne

We present a factorization formula for the production of pairs of heavy coloured particles in hadronic collisions at the production threshold, which forms the basis for the resummation of soft gluons and Coulomb gluons. We construct a basis…

High Energy Physics - Phenomenology · Physics 2010-04-08 M. Beneke , P. Falgari , C. Schwinn

This work introduces and characterizes a fast parameterless filter based on the Helgason-Ludwig consistency conditions, used to improve the accuracy of analytical reconstructions of tomographic undersampled datasets. The filter, acting in…

Medical Physics · Physics 2016-09-22 Filippo Arcadu , Jakob Vogel , Marco Stampanoni , Federica Marone

Precision computation of hadronic physics with lattice QCD is becoming feasible. The last decade has seen percent-level calculations of many simple properties of mesons, and the last few years have seen calculations of baryon masses,…

High Energy Physics - Lattice · Physics 2012-07-12 Dru B. Renner

There is an extensive history of form factor calculations on the lattice, primarily with ground states for both initial and final states. However, there have never been any radially excited transition form factor calculations. Furthermore,…

High Energy Physics - Lattice · Physics 2008-10-30 Huey-Wen Lin , Saul D. Cohen , Robert G. Edwards , Kostas Orginos , David G. Richards

Recently, we have proposed a new diffusive representation for fractional derivatives and, based on this representation, suggested an algorithm for their numerical computation. From the construction of the algorithm, it is immediately…

Numerical Analysis · Mathematics 2022-04-12 Kai Diethelm

Asking which sets are fixed-parameter tractable for a given parameterization constitutes much of the current research in parameterized complexity theory. This approach faces some of the core difficulties in complexity theory. By focussing…

Logic in Computer Science · Computer Science 2018-01-17 Jouke Witteveen , Leen Torenvliet

Determining the number of factors in high-dimensional factor modeling is essential but challenging, especially when the data are heavy-tailed. In this paper, we introduce a new estimator based on the spectral properties of Spearman sample…

Methodology · Statistics 2024-08-29 Jiaxin Qiu , Zeng Li , Jianfeng Yao

We present a variety of geometrical and combinatorial tools that are used in the study of geometric structures on surfaces: volume, contact, symplectic, complex and almost complex structures. We start with a series of local rigidity results…

Complex Variables · Mathematics 2024-02-28 Norbert A'Campo , Athanase Papadopoulos

The Riemannian geometry is one of the main theoretical pieces in Modern Mathematics and Physics. The study of Riemann Geometry in the relevant literature is performed by using a well defined analytical path. Usually it starts from the…

Differential Geometry · Mathematics 2015-07-07 Juan Mendez

Noticing that the point-form approach referred to in many recent works implies physics described on hyperplanes, an approach inspired from Dirac's one, which involves a hyperboloid surface, is presented. A few features pertinent to this new…

Nuclear Theory · Physics 2007-05-23 Bertrand Desplanques

The geometry of Arithmetic Random Waves has been extensively investigated in the last fifteen years, starting from the seminal papers [RW08, ORW08]. In this paper we study the correlation structure among different functionals such as nodal…

Probability · Mathematics 2023-12-21 Valentina Cammarota , Riccardo-W. Maffucci , Domenico Marinucci , Maurizia Rossi

In parameter slices of quadratic rational functions, we identify arcs represented by matings of quadratic polynomials. These arcs are on the boundaries of hyperbolic components.

Dynamical Systems · Mathematics 2011-11-28 Inna Mashanova , Vladlen Timorin

This paper is the sequel of the paper under the same title with part 1, where we introduced refined canonical stable Grothendieck polynomials and their duals with two families of infinite parameters. In this paper we give combinatorial…

Combinatorics · Mathematics 2025-04-23 Byung-Hak Hwang , Jihyeug Jang , Jang Soo Kim , Minho Song , U-Keun Song

We introduce the notion of a symmetric group parametrized by elements of a group. We show that this group is an extension of a certain subgroup of the wreath product $G \wr S_n$ by $\mathrm{H}_2(G, \mathbb{Z})$. We also discuss the…

Group Theory · Mathematics 2022-11-09 Sergey Sinchuk

We give a new construction of sheaves on a relative site associated to a product $X\times S$ where $S$ plays the role of a parameter space, expanding the previous construction by the same authors, where the subanalytic structure on $S$ was…

Algebraic Geometry · Mathematics 2021-07-20 Teresa Monteiro Fernandes , Luca Prelli

The availability of a reliable bound on an integral involving the square of the modulus of a form factor on the unitarity cut allows one to constrain the form factor at points inside the analyticity domain and its shape parameters, and also…

High Energy Physics - Phenomenology · Physics 2012-07-25 B. Ananthanarayan , Irinel Caprini
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