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This note corrects some serious errors in the first-order perturbation analysis of singular vectors as published by G.W. Stewart in his book "Matrix Algorithms Volume II: Eigensystems", SIAM, 2001.

数值分析 · 数学 2007-10-05 Gabriel Oksa

This paper has been withdrawn due to an error in figure 5.

高能物理 - 唯象学 · 物理学 2012-02-14 P. Brogueira , J. Dias de Deus

Erratum to cond-mat 9309014

凝聚态物理 · 物理学 2007-05-23 A. V. Balatsky , E. Abrahams , D. J. Scalapino , J. R. Schrieffer

This erratum corrects a number of formulae containing mistakes in the paper 'Luminosity function, sizes and FR dichotomy of radio-loud AGN', 2007, MNRAS, v. 381, p.1548. The corrections do not alter any of the conclusions in the original…

天体物理学 · 物理学 2009-11-13 Christian R. Kaiser , Philip N. Best

We reconsider the problem of percolation on an equilibrium random network with degree-degree correlations between nearest-neighboring vertices focusing on critical singularities at a percolation threshold. We obtain criteria for…

统计力学 · 物理学 2009-11-13 A. V. Goltsev , S. N. Dorogovtsev , J. F. F. Mendes

While classical percolation is well understood, percolation effects in randomly packed or jammed structures are much less explored. Here we investigate both experimentally and theoretically the electrical percolation in a binary composite…

材料科学 · 物理学 2021-04-20 Shiva Pokhrel , Brendon Waters , Solveig Felton , Zhi-Feng Huang , Boris Nadgorny

This Comment identifies errors in the formalism/implementation reported in Ref. 1 and discusses some aspects of that work that were not fully specified in the original publication. This Comment also provides reference numerical results for…

化学物理 · 物理学 2023-02-15 Conner Masteran , Ashutosh Kumar , Nakul Teke , Bimal Gaudel , Takeshi Yanai , Edward F. Valeev

Correction to "Limit theorems for coupled continuous time random walks" (Ann. Probab. 32 (2004) 730-756).

概率论 · 数学 2012-08-17 Peter Kern , Mark M. Meerschaert , Hans-Peter Scheffler

We correct an error in [I. Kangasniemi, and J. Onninen, On the heterogeneous distortion inequality. Math. Ann. 384 (2022), no. 3-4, 1275-1308.]

复变函数 · 数学 2025-05-16 Ilmari Kangasniemi , Jani Onninen

In [Ritika Garg et al., Phys. Rev. C 100, 069901(E) (2019)] the experimental results on the polarization asysmetry were revised due to a claimed change of the geometry asymmetry. However, the revised results can not be reproduced as claimed…

核实验 · 物理学 2020-11-24 S. Guo , C. M. Petrache

In this note we correct two errors in our paper "On the Homology of Completion and Torsion", arXiv:1010.4386, that appeared in Algebras and Representation Theory (2014).

交换代数 · 数学 2015-06-26 Marco Porta , Liran Shaul , Amnon Yekutieli

Correction to The Annals of Statistics (2006) 34, 1013--1044 [URL: http://projecteuclid.org/euclid.aos/1151418250]

统计理论 · 数学 2008-12-18 Miklós Csörgõ , Barbara Szyszkowicz , Lihong Wang

We correct a mistake in the paper "On the cuspidal cohomology of $S$-arithmetic subgroups of reductive groups over number fields " by A. Borel, J.-P. Labesse, J. Schwermer that appeared in Compositio Mathematica, 102 (1996), 1-40.

群论 · 数学 2020-11-13 Jean-Pierre Labesse , Joachim Schwermer

This paper was originally published in June 2013 in JFM (vol. 725). There was one result concerning an expression of viscous dissipation in convective flows and a second result on the condition of applicability of the anelastic liquid…

流体动力学 · 物理学 2019-11-05 Thierry Alboussiere , Yanick Ricard

In $H$-percolation, we start with an Erd\H{o}s--R\'enyi graph ${\mathcal G}_{n,p}$ and then iteratively add edges that complete copies of $H$. The process percolates if all edges missing from ${\mathcal G}_{n,p}$ are eventually added. We…

组合数学 · 数学 2025-11-18 Zsolt Bartha , Brett Kolesnik , Gal Kronenberg

In this brief report we pointed at mistake in paper A. Zholents, Damping Force in the Transit-Time Method of Optical Stochastic Cooling, PRLST. Mar 1, 2012. 2 pp. Published in Phys.Rev.ST Accel. Beams 15 (2012) 032801.

加速器物理 · 物理学 2013-07-24 E. G. Bessonov , A. A. Mikhailichenko

We correct an important misprint in the journal version of our earlier work on "New Jet Cluster Algorithms: Next-to-leading Order QCD...", published in Nucl. Phys. B 370 (1992) 310, which may have lead to an incorrect parametrisation of the…

高能物理 - 唯象学 · 物理学 2007-05-23 S. Bethke , Z. Kunszt , D. E. Soper , W. J. Stirling

Percolation is a model for random damage to a network. It is one of the simplest models that displays a phase transition: when the network is severely damaged, it falls apart in many small connected components, while if the damage is light,…

概率论 · 数学 2025-12-18 Remco van der Hofstad

Recently, the authors showed that the critical probability for random Voronoi percolation in the plane is 1/2. A by-product of the method was a short proof of the Harris-Kesten Theorem concerning bond percolation in the planar square…

概率论 · 数学 2007-05-23 Bela Bollobas , Oliver Riordan

This is a short survey of work on percolation and first-passage percolation since the publication (in 1996 and 1984, respectively) of the two authors' Saint-Flour notes on these topics.

概率论 · 数学 2012-07-03 Geoffrey R. Grimmett , Harry Kesten