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We discuss upper and lower bounds on the electrical conductivity of finite temperature strongly coupled quantum field theories, holographically dual to probe brane models, within linear response. In a probe limit where disorder is…

High Energy Physics - Theory · Physics 2016-04-07 Tatsuhiko N. Ikeda , Andrew Lucas , Yuichiro Nakai

The critical behaviour of directed self-avoiding walks is studied on parabolic-like systems with a free boundary at x=\pm Ct^\alpha. Using a scaling argument, 1/C is shown to be a marginal variable when \alpha=\nu_\perp/\nu_\parallel=1/2,…

Statistical Mechanics · Physics 2007-05-23 L. Turban

Some metric and graphical regularity properties of generalized constraint systems are investigated. Then, these properties are applied in order to penalize (in the sense of Clarke) various scalar and vector optimization problems. This…

Optimization and Control · Mathematics 2011-11-08 Marius Durea , Radu Strugariu

For a dynamical system, we study the set of points $\cal W$ whose orbit approximates any chosen point at certain specified rates. Our basic setting is that of left shift acting on topological Markov chains endowed with a local weak Gibbs…

Dynamical Systems · Mathematics 2016-06-09 María Victoria Melián Pérez

In the three-body system with one resonantly interacting pair, we study the behavior of the $S$-matrix pole near the threshold in the fourth quadrant of the unphysical complex energy plane. Our study is essentially based on the unitarity…

High Energy Physics - Phenomenology · Physics 2017-09-12 Atsunari Konishi , Osamu Morimatsu , Shigehiro Yasui

In this work, we consider a continuous dynamical system associated with the fixed point set of a nonexpansive operator which was originally studied by Bo\c{t} & Csetnek (2015). Our main results establish convergence rates for the system's…

Optimization and Control · Mathematics 2021-06-09 Ernö Robert Csetnek , Andrew Eberhard , Matthew K. Tam

The free field theory for Regge trajectory is described in the framework of the BRST - quantization method. The physical spectrum includes daugther trajectories along with parent one. The applicability of the BRST approach to the…

High Energy Physics - Theory · Physics 2008-02-03 A. Pashnev , M. Tsulaia

This paper defines constrained functional similarity between 2-D trajectories via minimizing the H1 semi-norm of the difference between the trajectories. An exact general solution is obtained for the case wherein the components of the…

Optimization and Control · Mathematics 2016-08-31 Stefan M. Filipov , Ivan D. Gospodinov

We provide the detailed asymptotic behavior for first-order aggregation models of heterogeneous oscillators. Due to the dissimilarity of natural frequencies, one could expect that all relative distances converge to definite positive value…

Dynamical Systems · Mathematics 2022-06-03 Dohyun Kim , Hansol Park

In Willems' behavioral systems theory, a dynamical system is identified with the set of all trajectories compatible with its laws of motion. In the linear time-invariant setting this trajectory set is a linear subspace, and its algebraic…

Optimization and Control · Mathematics 2026-05-08 Victor M. Preciado

Ballistic transport properties in a two dimensional electron gas are studied numerically, where magnetic fields are perpendicular to the plane of two dimensional electron systemsand periodically modulated both in $x$ and $y$ directions. We…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Junji Yoshida , Tomi Ohtsuki , Yoshiyuki Ono

We consider the reaction dynamics of bosons with negative parity and spin $0$ or $1$ and fermions with positive parity and spin $\frac{1}{2}$ or $\frac{3}{2}$. Such systems are of central importance for the computation of the baryon…

High Energy Physics - Phenomenology · Physics 2015-06-19 Yonggoo Heo , Matthias F. M. Lutz

We develop a new method based on Caffarelli's contraction theorem in optimal transport to obtain sharp and uniform modulus of continuity estimates for $\beta$-Dyson Brownian motions with $\beta \geq 2$. Our method extends to a large class…

Probability · Mathematics 2025-05-20 Xuan Wu

We prove general sufficient and necessary conditions for the partition regularity of Diophantine equations, which extend the classic Rado's Theorem by covering large classes of nonlinear equations. Sufficient conditions are obtained by…

Combinatorics · Mathematics 2016-06-08 Mauro Di Nasso , Lorenzo Luperi Baglini

A novel phenomenological approach to the analysis of the conductivities of incoherent layered crystals is presented. It is based on the fundamental relationship between the resistive anisotropy $\sigma_{ab}/\sigma_c$ and the ratio of the…

Strongly Correlated Electrons · Physics 2009-11-10 George A. Levin

We study $S$-wave interactions of the baryon decuplet with the octet of pseudoscalar mesons using the lowest order chiral Lagrangian. We find two bound states in the SU(3) limit corresponding to the octet and decuplet representations. These…

Nuclear Theory · Physics 2011-02-09 E. Oset , S. Sarkar , M. J. Vicente Vacas

The goal of this paper is to develop methodology for the systematic analysis of asymptotic statistical properties of data driven DRO formulations based on their corresponding non-DRO counterparts. We illustrate our approach in various…

Optimization and Control · Mathematics 2023-03-28 Jose Blanchet , Alexander Shapiro

We consider the high-energy limits of the colour ordered four-, five- and six-gluon MHV amplitudes of the maximally supersymmetric QCD in the multi-Regge kinematics where all the gluons are strongly ordered in rapidity. We show that various…

High Energy Physics - Theory · Physics 2009-11-10 V. Del Duca , C. Duhr , E. W. N. Glover

Several Regge-phenomenological models of forward scattering at high energies are considered. It was found that one of them corresponds to the form of finite series in log s with additional terms that represent the exchanges of…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Kontros , K. Kontros , A. Lengyel

In this note, we extend the regularity theory for monotone measure-preserving maps, also known as optimal transports for the quadratic cost optimal transport problem, to the case when the support of the target measure is an arbitrary convex…

Analysis of PDEs · Mathematics 2023-05-17 Alessio Figalli , Yash Jhaveri
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