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We analyze the tensor network loop cluster expansion, introduced in [G. Park, J. Gray, and G. K.-L. Chan, Phys. Rev. B 112, 174310 (2025)] as a systematic correction to belief propagation, in the context of general quantum many-body…

We show that very clear answers to the queries raised by D. Chen and R. Ni in their Comment on our recent paper [A. Zaccone, Phys. Rev. Lett. 128, 028002 (2022)] can be found in our original paper already. The paper [A. Zaccone, Phys. Rev.…

Soft Condensed Matter · Physics 2022-02-11 Alessio Zaccone

It has been pointed out by counterexamples in a 2013 paper in the IEEE Transactions on Computers [1], that there is an error in the previously ibid.\ in 2005 published paper [2] on the construction of valid digit selection tables for SRT…

Hardware Architecture · Computer Science 2014-11-25 Peter Kornerup

In this note we point out an error in the above paper and refer to some papers where this error is corrected and a more general theorem is proved.

Geometric Topology · Mathematics 2007-05-23 S. K. Roushon

In this note we document a gap in an argument in the above paper, and point to new work in the literature giving a complete proof of the main result.

Dynamical Systems · Mathematics 2026-02-24 Jorge Fariña-Asategui , Rafe Jones , Santiago Radi

In the paper of Gohar M. Kyureghyan and Alexander Pott (Designs, Codes and Cryptography, 29, 149-164, 2003), the linear feedback polynomials of the Sidel'nikov-Lempel-Cohn-Eastman sequences were determined for some special cases. When…

Cryptography and Security · Computer Science 2018-10-08 Minglong Qi , Shenwu Xiong

The goal of this note is to fill a gap in the proof of the first two items of Theorem 5.1 in [4], which relies on Polya type inequalities and the characterization of the equality cases for monotone rearrangements given in Propositions 4.1…

Analysis of PDEs · Mathematics 2025-03-10 B. Pellacci , G. Pisante , D. Schiera

We correct the statements of two theorems and two corollaries in our paper [On subgroup perfect codes in Cayley graphs, European J. Combin. 91 (2021) 103228]. Proofs of these theorems and three other results are given as well.

Combinatorics · Mathematics 2022-01-21 Junyang Zhang , Sanming Zhou

We continue the work of [5] and [3], in which are considered papers in the literature that discuss fixed point assertions in digital topology. We discuss published assertions that are incorrect or incorrectly proven; that are severely…

General Topology · Mathematics 2018-12-13 Laurence Boxer

This is a list of corrections for the book: J. Noguchi and T. Ochiai, Geometric Function Theory in Several Complex Variables, xi + 282 pp., Math.\ Monographs Vol.\ {\bf 80}, Amer.\ Math.\ Soc., Providence, 1990. The authors hope that this…

Complex Variables · Mathematics 2009-09-25 J. Noguchi , T. Ochiai

This paper was withdrawn by the author. The appearance of an author-written addendum [3] to the paper [2] made our correction note [1] to that paper superfluous and hence it is no longer available here. [1] Dror Bar-Natan and Ofer Ron, A…

Geometric Topology · Mathematics 2009-09-29 Dror Bar-Natan , Ofer Ron

In the paper based on the question of Zhang and L\"{u}[15], we present one theorem which will improve and extend the results of Banerjee-Majumder [2] and a recent result of Li-Huang [9].

Complex Variables · Mathematics 2022-09-15 Abhijit Banerjee , Bikash Chakraborty

There are some inaccuracies and errors in my article "Dual and almost-dual homogeneous spaces". Here I will describe in detail how to correct incorrect statements from this article and which statements there will have to be reformulated in…

Rings and Algebras · Mathematics 2020-07-29 Vladimir Gorbatsevich

The paper comments on "Quantifying long-term scientific impact". It indicates that there is a mistake of [D. S. Wang , C. Song, A. L. Barabasi, Quantifying long-term scientific impact, Science 342, 127 (2013), arXiv:1306.3293].

Digital Libraries · Computer Science 2014-05-16 Jin-Li Guo , Qi Suo

We show that a linear-time algorithm for computing Hong's bound for positive roots of a univariate polynomial, described by K. Mehlhorn and S. Ray in an article "Faster algorithms for computing Hong's bound on absolute positiveness", is…

Symbolic Computation · Computer Science 2016-11-22 Przemysław Koprowski

The paper is withdrawn by the authors and replaced be an improved and extended version arxiv: 0812.2968

Mathematical Physics · Physics 2008-12-22 S. Molchanov , B. Vainberg

An argument of Y. Nikonorov completes the proof of Theorem 2.5 in "Bounded Isometries and Homogeneous Quotients", JGA 27 (2017), 56--64 [arXiv:1502.04276].

Algebraic Geometry · Mathematics 2021-11-11 Joseph A. Wolf

The Annals of Applied Probability 16 (2006) 984--1033 [URL: http://projecteuclid.org/euclid.aoap/1151592257]

Probability · Mathematics 2008-12-18 Yan Dolinsky , Yuri Kifer

The proof of Theorem 11 of the paper M. Scheepers, Remarks on countable tightness, Topology and its Applications 161 (2014), 407 - 432 relies on Lemma 10 of that paper. The offered proof of Lemma 10 had shortcomings, and I was recently…

General Topology · Mathematics 2015-10-01 Marion Scheepers

On some problems in the article "Efficient Likelihood Estimation in State Space Models" by Cheng-Der Fuh [Ann. Statist. 34 (2006) 2026--2068] [arXiv:math/0611376]

Statistics Theory · Mathematics 2010-03-01 Jens Ledet Jensen
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