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Rigidity results are obtained for Riemannian $d$-manifolds with $\sec \geqslant 1$ and spherical rank at least $d-2>0$. Conjecturally, all such manifolds are locally isometric to a round sphere or complex projective space with the…

微分几何 · 数学 2014-09-29 Benjamin Schmidt , Krishnan Shankar , Ralf Spatzier

Random matrix theory of the transition strengths is applied to transport in the strongly localized regime. The crossover distribution function between the different ensembles is derived and used to predict quantitatively the {\sl universal}…

凝聚态物理 · 物理学 2009-10-22 Y. Meir , O. Entin-Wohlman

We determine the bottom quark mass from non-relativistic large-n Upsilon sum rules with renormalization group improvement at next-to-next-to-leading logarithmic order. We compute the theoretical moments within the vNRQCD formalism and…

高能物理 - 唯象学 · 物理学 2012-11-07 Andre Hoang , Pedro Ruiz-Femenia , Maximilian Stahlhofen

We study the periodic non-linear Schrodinger equations with odd integer power nonlinearities, for initial data which are assumed to be small in some negative order Sobolev space, but which may have large L^2 mass. These equations are known…

偏微分方程分析 · 数学 2007-05-23 Michael Christ , James Colliander , Terence Tao

Non-linear susceptibilities upto the eighth order have been constructed in QCD with 2 flavours of dynamical quarks. Beyond leading order, they exhibit peaks at the cross over temperature, T_c. By analyzing their behaviour in detail, we find…

高能物理 - 格点 · 物理学 2009-11-11 R. V. Gavai , Sourendu Gupta

We establish the following two main results on order types of points in general position in the plane (realizable simple planar order types, realizable uniform acyclic oriented matroids of rank $3$): (a) The number of extreme points in an…

计算几何 · 计算机科学 2022-06-09 Xavier Goaoc , Emo Welzl

With the goal of optimizing the CM capacity of a finite constellation over a Rayleigh fading channel, we construct for all dimensions which are a power of 2 families of rotation matrices which optimize a certain objective function…

信息论 · 计算机科学 2014-09-26 David Karpuk , Camilla Hollanti

We study non-interacting systems with a power-law quasiparticle dispersion $\xi_{\bf k}\propto k^\alpha$ and a random short-range-correlated potential. We show that, unlike the case of lower dimensions, for $d>2\alpha$ there exists a…

介观与纳米尺度物理 · 物理学 2015-06-23 S. V. Syzranov , V. Gurarie , L. Radzihovsky

QCD inequalities are derived for the masses of mesons and baryons containing a single heavy quark using the heavy quark effective field theory. A rigorous lower bound is obtained for the $\bar\Lambda$ parameters of the heavy quark effective…

高能物理 - 唯象学 · 物理学 2011-01-25 Zachary Guralnik , Aneesh V. Manohar

The $q\bar q$ spectrum is studied in a generalized constituent quark model constrained in the study of the $NN$ phenomenology and the baryon spectrum. An overall good fit to the available experimental data is obtained. A detailed analysis…

高能物理 - 唯象学 · 物理学 2007-05-23 J. Vijande , F. Fernandez , A. Valcarce

Quantum nonlocality based on state discrimination describes the global property of the set of orthogonal states and has a wide range of applications in quantum cryptographic protocols. Strongest nonlocality is the strongest form of quantum…

量子物理 · 物理学 2024-08-15 Hong-Run Li , Hui-Juan Zuo , Fei Shi , Shao-Ming Fei

In this paper, we consider the averaging principle for a class of McKean-Vlasov stochastic differential equations with slow and fast time-scales. Under some proper assumptions on the coefficients, we first prove that the slow component…

概率论 · 数学 2019-10-01 Michael Röckner , Xiaobin Sun , Yingchao Xie

Quantum Selected Configuration Interaction (QSCI) and an extended protocol known as Sample-based Quantum Diagonalization (SQD) have emerged as promising algorithms to solve the electronic Schr\"odinger equation with noisy quantum computers.…

量子物理 · 物理学 2025-08-26 Don Danilov , Javier Robledo-Moreno , Kevin J. Sung , Mario Motta , James Shee

The power spectrum of mass density fluctuations is evaluated from the Mark III and the SFI catalogs of peculiar velocities by a maximum likelihood analysis, using parametric models for the power spectrum and for the errors. The applications…

天体物理学 · 物理学 2007-05-23 Idit Zehavi , Avishai Dekel

Static topologically-nontrivial configurations in sigma-models, for spatial dimension D \geq 2, are unstable. The question addressed here is whether such sigma-model solitons can be stabilized by steady rotation in internal space; that is,…

高能物理 - 理论 · 物理学 2015-06-26 R. S. Ward

This work discuses the effect of the QCD coupling constant ($\alpha_c$) on various physical properties of compact stars in the framework of the Tolman IV potential admitting the equation of state of MIT bag model with nonzero value of mass…

广义相对论与量子宇宙学 · 物理学 2024-12-17 R Roy , K B Goswami , P K Chattopadhyay , A Saha

We study the quantum summation (QS) algorithm of Brassard, Hoyer, Mosca and Tapp, that approximates the arithmetic mean of a Boolean function defined on N elements. We improve error bounds presented in [1] in the worst-probabilistic…

量子物理 · 物理学 2007-05-23 Marek Kwas , Henryk Wozniakowski

We prove that the 3D stable Muskat problem is globally well-posed in the critical Sobolev space $\dot H^2 \cap \dot W^{1,\infty}$ provided that the semi-norm $\Vert f_0 \Vert_{\dot H^{2}}$ is small enough. Consequently, this allows the…

偏微分方程分析 · 数学 2024-05-06 Francisco Gancedo , Omar Lazar

Using the O(a) Symanzik improved action an estimate is given for the strange quark mass for unquenched (n_f=2) QCD. The determination is via the axial Ward identity (AWI) and includes a non-perturbative evaluation of the renormalisation…

高能物理 - 格点 · 物理学 2008-11-26 M. Göckeler , R. Horsley , A. C. Irving , D. Pleiter , P. E. L. Rakow , G. Schierholz , H. Stüben , J. M. Zanotti

Quantum discord is a function of density-matrix elements (and through them, e.~g., of temperature, applied fields, time, and so forth). The domain of such a function in the case of two-qubit system with X or centrosymmetric (CS) density…

量子物理 · 物理学 2014-04-24 M. A. Yurischev