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An extension of the thermodynamic uncertainty relation (TUR) to time-delayed Langevin systems has been recently proposed by T. V. Vu and Y. Hasegawa (arXiv:1809.06610v2). Here we show that the derivation is erroneous.

Statistical Mechanics · Physics 2018-10-31 M. L. Rosinberg , G. Tarjus

It is shown that the conclusion [arXiv:1208.1166v2] made by Porsch and R\"oseler that their cutoff polaron theory transforms to Tulub theory is erroneous. The results of the work by Klimin and Devreese based on the results of Porsch and…

Other Condensed Matter · Physics 2012-11-05 V. D. Lakhno

This paper considers random (non-Hermitian) circulant matrices, and proves several results analogous to recent theorems on non-Hermitian random matrices with independent entries. In particular, the limiting spectral distribution of a random…

Probability · Mathematics 2011-02-01 Mark W. Meckes

The original version of the paper claimed to disprove the pseudo-Riemannian Lichnerowicz conjecture of D'Ambra and Gromov. However, the argument contains a crucial sign error in the lines following equation (8).

Differential Geometry · Mathematics 2011-02-18 Andrzej Derdzinski

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

High Energy Physics - Phenomenology · Physics 2007-05-23 M. E. Bracco , F. S. Navarra , M. Nielsen

The paper contains a simplified version of Stahl's proof of a conjecture of Bessis, Moussa and Villani on the trace of matrices A+tB with Hermitean A and B.

Spectral Theory · Mathematics 2015-12-18 Alexandre Eremenko

I refute the criticisms of hep-ph/0311241 raised in hep-ph/0312151.

High Energy Physics - Phenomenology · Physics 2007-05-23 Carlo Giunti

This paper has been withdrawn by the author due to an error.

Probability · Mathematics 2011-06-10 Alexei Stepanov

This paper has been withdrawn by the author as the conjecture proposed in it is wrong.

High Energy Physics - Theory · Physics 2007-05-23 S. Khlebnikov

An error in the paper [J. Math. Phys. 43, 6343 (2002); math-ph/0207009] is corrected. Further explanation is given.

Mathematical Physics · Physics 2015-06-26 Ali Mostafazadeh

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

Number Theory · Mathematics 2007-05-23 Tomohiro Yamada

This paper has been withdrawn by the author, due to a crucial error in page 5.

General Mathematics · Mathematics 2009-02-06 Julio Alcantara-Bode

We describe combinatorial properties of the defining row of a circulant Hadamard matrix by exploiting its orthogonality to subsequent rows, and show how to exclude several particular forms of these matrices.

Combinatorics · Mathematics 2024-06-18 Luis H. Gallardo , Olivier Rahavandrainy , Reinhardt. Euler

We conjecture two combinatorial interpretations for the symmetric function $\Delta_{e_k} e_n$, where $\Delta_f$ is an eigenoperator for the modified Macdonald polynomials defined by Bergeron, Garsia, Haiman, and Tesler. Both interpretations…

Combinatorics · Mathematics 2017-09-07 James Haglund , Jeffrey Remmel , Andrew Timothy Wilson

Robin's Conjecture is strengthened, deformed, and proved. Nicolas conjecture follows.

Mathematical Physics · Physics 2009-07-19 Boris A. Kupershmidt

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

Mathematical Physics · Physics 2007-07-11 John Fredsted

A recent paper by Bluemer et al. [cond-mat/0609758] again criticizes earlier QMC/DMFT results by Liebsch [Phys. Rev. B {\bf 70}, 165103 (2004)]. This criticism is shown to be unfounded.

Strongly Correlated Electrons · Physics 2007-05-23 A. Liebsch

The paper by G. Liu [arxiv:2109.02561] contains an error. In this note, I give a brief review of the problem and indicate what the error is.

Spectral Theory · Mathematics 2021-09-21 Leonid Friedlander

Nous refutons, sous une certaine hypothese combinatoire, la "nonrevisiting path conjecture". Abstract: In this article, we give, under some hypothesis, a couterexample to the nonrevisiting path conjecture.

Combinatorics · Mathematics 2007-05-23 Frederic Bosio

This paper was withdrawn as it may have appeared elsewhere, although in a different form.

Astrophysics · Physics 2007-05-23 Charles S. Campbell