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We study the stability of non-conservative deterministic cross diffusion models and prove that they are approximated by stochastic population models when the populations become locally large. In this model, the individuals of two species…

Analysis of PDEs · Mathematics 2025-10-09 Vincent Bansaye , Alexandre Bertolino , Ayman Moussa

A reply to the comment by V. R. Shaginyan et al. [Phys. Rev. Lett. 107, 279701 (2011), arXiv:1206.5372] on our article [Phys. Rev. Lett. 106, 137002 (2011), arXiv:1012.0303].

Strongly Correlated Electrons · Physics 2012-07-06 Andreas Hackl , Matthias Vojta

In \citep{Yangnips13}, the author presented distributed stochastic dual coordinate ascent (DisDCA) algorithms for solving large-scale regularized loss minimization. Extraordinary performances have been observed and reported for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-25 Tianbao Yang , Shenghuo Zhu , Rong Jin , Yuanqing Lin

We extend the scope of B. Shapirovskii's results [B.E Shapirovskii, "Cardinal invariants in Compact Hausdorff Spaces," Amer. Math. Soc. Transl. (2) Vol. 134, 1987, pp. 93-118] on the order of $\pi$-bases in compact spaces and answer some…

General Topology · Mathematics 2008-01-03 Isaac Gorelic

In Pires {\it et al.} [Phys. Rev. E 84, 066210 (2011)] intermittent maps are considered, and the tight relationship between correlation decay of smooth observables and large deviations estimates, as for instance employed in Artuso and…

Chaotic Dynamics · Physics 2013-01-30 Roberto Artuso , Cesar Manchein

Recently, F. Wang commented on our work "Scaling properties of background- and chiral-magnetically-driven charge separation in heavy ion collisions at $\sqrt{s}_{\rm NN} = 200$ GeV" and made several claims to support his conclusion that our…

Nuclear Experiment · Physics 2022-07-12 Roy A. Lacey , Niseem Magdy

It is shown that the Comment by Phair et al. on PRL 77, 3514 (1996) does not challenge the paper by Tõke et al. It is, in fact, consistent with all conclusions of the targeted paper. The Comment disputes claims never made.

Nuclear Experiment · Physics 2007-05-23 Jan Toke , W. Udo Schroeder

I reply to a Comment by Q. Wang and W.G. Unruh regarding my paper "Hiding the Cosmological Constant" [Phys. Rev. Lett. 123, 131302].

General Relativity and Quantum Cosmology · Physics 2020-08-26 S. Carlip

We show that claims, presented in Phys. Rev. B {\bf 65}, 125109 (2002) concerning the threshold behavior of dynamical correlations of a Coulomb Luttinger liquid, are based on an inconsistent mathematical analysis. Physical arguments are…

Strongly Correlated Electrons · Physics 2009-11-07 D. W. Wang , A. J. Millis , S. Das Sarma

The topic of fixed points in digital metric spaces has drawn yet more publications with assertions that are incorrect, incorrectly proven, trivial, or incoherently stated. We discuss publications with bad assertions concerning fixed points…

Geometric Topology · Mathematics 2025-12-19 Laurence Boxer

In this note we address the attempted proof of the existence of static solutions to the Einstein-Vlasov system as given in \cite{Wol}. We focus on a specific and central part of the proof which concerns a variational problem with an…

General Relativity and Quantum Cosmology · Physics 2024-02-19 Håkan Andréasson , Markus Kunze

In [Watanabe et al., Phys. Rev. Lett. 93 190601 (2004)], the authors show numerically that spanning and percolation probabilities in two-dimensional systems with different aspect ratios obey a form of "superscaling". In this comment, we…

Statistical Mechanics · Physics 2007-05-23 Gunnar Pruessner , Nicholas R. Moloney

We have reviewed the comment in [3], posted on arXiv.org concerning our recent work in [1]. We reply to the comment in this paper.

Quantum Physics · Physics 2012-05-08 D. Li , X. Li , H. Huang , X. Li

In a comment cond-mat/9811080 to our paper (PRL, vol 81, 1698 (1998)) H. Bokil, A. Bray, B. Drossel and M. Moore claimed that we have reached wrong conclusions. We show here why their claims are not correct, especially when compared to the…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Marinari , C. Naitza , G. Parisi , M. Picco , F. Ritort , F. Zuliani

We reply to a comment of Van Enter, Kuelske and Maes (cond-mat/0005176) on our letter "Critical Behavior of the Randomly Spin-Diluted 2-d Ising Model - A Grand Ensemble Approach", Phys. Rev. Lett. {\bf 73}, 2268-2271 (1994).

Statistical Mechanics · Physics 2009-10-31 Reimer Kuehn , Giorgio Mazzeo

We reconsider the problem of local persistence in directed site percolation. We present improved estimates of the persistence exponent in all dimensions from 1+1 to 7+1, obtained by new algorithms and by improved implementations of existing…

Statistical Mechanics · Physics 2015-05-13 Peter Grassberger

I respond to the Bernard et al. comment on my letter ``Chiral anomalies and rooted staggered fermions.''

High Energy Physics - Lattice · Physics 2008-11-26 Michael Creutz

In this paper we correct an inaccuracy that appears in the proof of Theorem 1. in Czerwik's article "Contraction mappings in $b$-metric spaces.", Acta Math. Inform. Univ. Ostraviensis, 1:5--11, 1993.

Classical Analysis and ODEs · Mathematics 2019-03-22 Sándor Kajántó , Andor Lukács

The article [Phys. Rev. E {\bf 73}, 031111 (2006)] by Horowitz and Albano reports on simulations of competitive surface-growth models RD+X that combine random deposition (RD) with another deposition X that occurs with probability $p$. The…

Statistical Mechanics · Physics 2015-01-23 A. Kolakowska , M. A. Novotny

We respond to S.-K. Yip's criticism of our work on the classification of spinor condensates. We explain why his criticism is unfounded, emphasizing that the phases he mentions have been addressed in our paper cond-mat/0611230. To provide a…

Strongly Correlated Electrons · Physics 2007-07-04 Ryan Barnett , Ari Turner , Eugene Demler
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