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This note corrects a pretty serious mistake and some inaccuracies in "Consensus and cooperation in networked multi-agent systems" by R. Olfati-Saber, J.A. Fax, and R.M. Murray, published in Vol. 95 of the Proceedings of the IEEE (2007, No.…

Multiagent Systems · Computer Science 2010-06-04 Pavel Chebotarev

This paper has been withdrawn by the author due to a crucial accuracy error in Fig. 5. For precise performance of ALBNN please refer to Yoon et al.'s work in the following article. Yoon, H., Park, C. S., Kim, J. S., & Baek, J. G. (2013).…

Neural and Evolutionary Computing · Computer Science 2015-02-27 Rizwana Kalsoom , Moomal Qureshi

Correction to Annals of Probability 29 (2001) 1612--1624 [doi:10.1214/aop/1015345764].

Probability · Mathematics 2007-05-23 Teddy Seidenfeld , Mark J. Schervish , Joseph B. Kadane

This paper indicates two errors in the formulation of the main optimization model in the article "Dynamic power management in energy-aware computer networks and data intensive computing systems" by Niewiadomska-Szynkiewicz et al. [FGCS,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-14 Andrzej Karbowski

We correct a partial mistake for a metric presented in the article "Lattice constellation and codes from quadratic number fields" [IEEE Trans. Inform. Theory, vol. 47, No. 4, May. 2001]. We show that the metric defined in the article is not…

Information Theory · Computer Science 2014-12-01 Murat Güzeltepe

Corrections and acknowledgment for ``Local limit theory and large deviations for supercritical branching processes'' [math.PR/0407059]

Probability · Mathematics 2007-05-23 P. E. Ney , Anand N. Vidyashankar

We point out that a concise proof of Theorem 2 in the article, 'On a quadratic estimate of Shafer' by L. Zhu contains a small mistake. Correcting this mistake and giving alternative proofs of Theorem 2 is the main aim of this note.

General Mathematics · Mathematics 2024-04-08 Yogesh J. Bagul , Ramkrishna M. Dhaigude

Correction to The Annals of Statistics (1989) 17 1749--1766 [URL: http://links.jstor.org/sici?sici=0090-5364%28198912%2917%3A4%3C1749%3AEPEFSP%3E 2.0.CO%3B2-9]

Statistics Theory · Mathematics 2007-06-13 Rainer Dahlhaus

Correction to Annals of Probability 28 (2000) 277--302 [doi:10.1214/aop/1019160120].

Probability · Mathematics 2007-05-23 S. Sethuraman

The uniqueness argument in the proof of Theorem 5, p. 483, of "Small noise asymptotics for invariant densities for a class of diffusions: a control theoretic view, J. Math. Anal. and Appl. (2009) " is flawed. We give here a corrected proof.

Probability · Mathematics 2011-07-13 Anup Biswas , Vivek S. Borkar

The paper has been withdrawn due to an error in Lemma 1.

Data Structures and Algorithms · Computer Science 2007-05-23 Sumit Ganguly

Conditions for the detectability of topology variations in dynamical networks are developed in a recent article in the IEEE Transactions on Control of Network Systems [1]. Here, an example is presented which illustrates an error in the…

Systems and Control · Computer Science 2018-10-08 Sandip Roy , Mengran Xue

This paper has been withdrawn due to an incorrect proof.

Information Theory · Computer Science 2015-03-19 Jubin Jose , Ioannis Mitliagkas , Sriram Vishwanath

Developing of an effective flow control algorithm to avoid congestion is a hot topic in computer network society. This document gives a mathematical model for general network at the beginning, and then discrete control theory is proposed as…

Networking and Internet Architecture · Computer Science 2021-07-05 G. Millán

In this paper, we show that the stability analysis in the paper A note on stability of fractional logistic maps, Appl. Math. Lett. 125 (2022) 107787 is incorrect and repeat a proof of a theorem on the convergence of a convolution of the…

Chaotic Dynamics · Physics 2021-12-22 Mark Edelman

On [3, p. 199] one says "We mention parenthetically that the proof of [99, Lemma 41.3] is incorrect, and we do not know whether it, [99, Theorem 41.5] and [99, Theorem 41.6] are true". The previously cited reference [99] is our reference…

Functional Analysis · Mathematics 2009-10-21 M. D. Voisei

This is a correction to the afore-mentioned paper in Duke Math. J. vol. 75 (1994), 99-119 by S. Keel, K. Matsuki, and J. McKernan. We completely rewrite Chapter 6 according to the original manuscript of the second author, in order to fix…

Algebraic Geometry · Mathematics 2007-05-23 Kenji Matsuki

Two typos in the published paper are pointed out. Both are just typos and the calculations in that paper are based on the correct formulism.

Condensed Matter · Physics 2007-05-23 M. W. Wu

We correct an alleged contradiction to Gallager's capacity theorem for waveform channels as presented in a poster at the 2012 IEEE International Symposium on Information Theory.

Information Theory · Computer Science 2013-11-05 Edwin Hammerich

We correct the second main theorem of the previous paper "A perturbation of the Dunkl harmonic oscillator on the line", by the first two authors. The corrections concern mainly certain estimates, which were also improved by adding more…

Spectral Theory · Mathematics 2017-06-28 Jesús A. Álvarez López , Manuel Calaza , Carlos Franco