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Although old, this may be of interest. In particular, I have had inquiries concerning the renormalization group calculations in Sec. 6.4. This is a Latex transcription. A scanned version of the original typed manuscript is available at…

High Energy Physics - Theory · Physics 2007-05-23 Erick J. Weinberg

We introduce a 2-dimensional lattice model of granular matter. We use a combination of proof and simulation to demonstrate an order/disorder phase transition in the model, to which we associate the granular phenomenon of random close…

Soft Condensed Matter · Physics 2015-05-14 D. Aristoff , C. Radin

We study the packing of a large number of congruent and non--overlapping circles inside a regular polygon. We have devised efficient algorithms that allow one to generate configurations of $N$ densely packed circles inside a regular polygon…

Computational Geometry · Computer Science 2023-03-08 Paolo Amore

This is to reply to a recent comment by Yang, Yuan and Zhang on ``Teleportation of two-quNit entanglement: Exploiting local resorces''.

Quantum Physics · Physics 2007-05-23 Nguyen Ba An

We review the recent exact solution of a matrix model which interpolates between flat and random lattices. The importance of the results is twofold: Firstly, we have developed a new large N technique capable of treating a class of matrix…

High Energy Physics - Theory · Physics 2007-05-23 V. A. Kazakov , M. Staudacher , T. Wynter

This paper is a continuation of our earlier work "[T. Jin, Y.Y. Li and J. Xiong, On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions, to appear in J. Eur. Math. Soc.]", where compactness results were…

Analysis of PDEs · Mathematics 2015-06-08 Tianling Jin , YanYan Li , Jingang Xiong

We reply to the Comment of Brodsky and Gardner on our paper "New limits on intrinsic charm in the nucleon from global analysis of parton distributions" [Phys. Rev. Lett. 114, 082002 (2015)]. We address a number of incorrect claims made…

High Energy Physics - Phenomenology · Physics 2016-01-01 P. Jimenez-Delgado , T. J. Hobbs , J. T. Londergan , W. Melnitchouk

This paper is extended and broadly generalized version of earlier published rapid communication, Phys.Rev.E, Vol.58, R 5213 (1998). It also elaborates on some problems which were left unsolved or just mentioned in Physics Reports Vol.298,…

Statistical Mechanics · Physics 2009-09-25 Arkady L. Kholodenko

We give sufficient conditions for the number rigidity of a translation invariant or periodic point process on $\mathbb{R}^d$, where $d=1,2$. That is, the probability distribution of the number of particles in a bounded domain $\Lambda…

Probability · Mathematics 2016-11-23 Subhro Ghosh , Joel Lebowitz

Comment on R. Planet, S. Santucci, J. Ortin, Phys. Rev. Lett. 102, 094502 (2009) about the rescaling of the data and the data collapse. Reply to be found here.

Statistical Mechanics · Physics 2015-05-19 Gunnar Pruessner

The close-to-equilibrium regularity of solutions to a class of reaction-diffusion systems is investigated. The considered systems typically arise from chemical reaction networks and satisfy a complex balanced condition. Under some…

Analysis of PDEs · Mathematics 2017-11-29 Bao Quoc Tang

We comment on a recent article published in Phys. Rev. D98 (2018) no.9, 094513, arXiv:1811.09029, pointing out severe problems in the numerical investigation leading to questionable results and misleading conclusions during their…

High Energy Physics - Lattice · Physics 2019-05-07 Derar Altarawneh , Roman Höllwieser

We comment on the recent paper by N.A. Tornqvist and M. Roos published in Phys. Rev. Lett. 76, 1575 (1996).

High Energy Physics - Phenomenology · Physics 2008-11-26 Masayasu Harada , Francesco Sannino , Joseph Schechter

Based on easy-to-follow considerations it is not difficult to be vehemently opposed not only the solutions found in that paper but also the conclusions manifested there.

Quantum Physics · Physics 2009-11-11 Antonio S. de Castro

It is shown both from a qualitative and quantitative analysis that the T-dependence of the pure susceptibility detected by Tallon et al. in overdoped compounds cannot explain the T-dependence of the Li NMR shift. This confirms that the…

Superconductivity · Physics 2007-05-23 J. Bobroff , W. A. MacFarlane , H. Alloul , P. Mendels

We describe algorithms which address two classical problems in lattice geometry: the lattice covering and the simultaneous lattice packing-covering problem. Theoretically our algorithms solve the two problems in any fixed dimension d in the…

Metric Geometry · Mathematics 2007-05-23 Achill Schuermann , Frank Vallentin

The work deals with the existence of solutions of a certain system of quadratic integral equations in H^2(R^d,R^N), d = 2, 3. We demonstrate the existence of a perturbed solution by virtue of a fixed point technique.

Analysis of PDEs · Mathematics 2025-06-19 Vitali Vougalter

Reply to the comment of E.M. Chudnovsky and D.A. Garanin on Europhys. Lett. 46, 692 (1999).

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Michael N. Leuenberger , Daniel Loss

A comment on the paper "Truncated Schwinger-Dyson Equations and Gauge Covariance in QED3", Few-Body Syst. 41, 185 (2007) [hep-ph/0511291].

High Energy Physics - Phenomenology · Physics 2008-07-09 S. -Y. Wang

This reply addresses concerns expressed in a comment (arXiv:2508.16689v1) on arXiv:submit/6841332 [physics.gen-ph] 29 Sep 2025 the paper given in the title (arXiv:2501.02022v2), hereafter referred to as the paper.

General Physics · Physics 2025-10-01 Peter J Mohr
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