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The main purpose of this paper is to correct an error in the previously submitted version [*] := arXiv:2004.13749v1. [*] had been already accepted for publication in a scientific journal, but withdrawn by the author after the discovery of…

Probability · Mathematics 2020-11-05 F. Thomas Bruss

In [1], we introduced the weakly synchronizing languages for probabilistic automata. In this report, we show that the emptiness problem of weakly synchronizing languages for probabilistic automata is undecidable. This implies that the…

Formal Languages and Automata Theory · Computer Science 2012-06-06 Laurent Doyen , Thierry Massart , Mahsa Shirmohammadi

The bias in the determination of the Hubble parameter and the Hubble constant in the modern Universe is discussed. It could appear due to statistical processing of data on galaxies redshifts and estimated distances based on some statistical…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-22 S. L. Parnovsky

This paper examines the accuracy of the PROSPECTOR model for uncertain reasoning. PROSPECTOR's solutions for a large number of computer-generated inference networks were compared to those obtained from probability theory and minimum…

Artificial Intelligence · Computer Science 2013-04-12 Robert M. Yadrick , Bruce M. Perrin , David S. Vaughan , Peter D. Holden , Karl G. Kempf

A gradient projection method with feasible inexact projections is proposed in the present paper. The inexact projection is performed using a relative error tolerance. Asymptotic convergence analysis and iteration-complexity bounds of the…

Optimization and Control · Mathematics 2021-01-28 Ademir A. Aguiar , Orizon P. Ferreira , Leandro F. Prudente

A false application of Proposition 4.10 causes a mistake in the proof of Corollary 4.11

Representation Theory · Mathematics 2013-08-19 Yuanyang Zhou

The paper has been withdrawn due to an error in Lemma 1.

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

We present an improved incremental selection algorithm of the selection algorithm presented in [1] and prove all the selected conjectures.

Artificial Intelligence · Computer Science 2025-11-04 Jovial Cheukam Ngouonou , Ramiz Gindullin , Claude-Guy Quimper , Nicolas Beldiceanu , Remi Douence

We appended an errata to the original submission. The purpose of this errata is to point out two errors in [2] and give a weakened version of those statements made.

Probability · Mathematics 2024-07-02 Erhan Bayraktar , Gaoyue Guo

We make two tiny corrections to our previous paper with the same title, and also obtain, as a bonus, something new.

Complex Variables · Mathematics 2007-11-06 Judith Brinkschulte , C. Denson Hill , Mauro Nacinovich

The numerical values in the sixth and seventh columns of table 1 of the paper Molec. Phys., 1999, 96, 1185-1188 are not correct. Consequently, some of the comments made in the paper are wrong. The corrected version of table 1 is reprinted…

Statistical Mechanics · Physics 2008-09-18 A. Santos

This article has been withdrawn due to an error in a proof of the main result.

Algebraic Topology · Mathematics 2011-04-15 Mark Grant

Paper withdrawn, due a crucial error in the proof of Lemma 4.3: thus Theorems 1.2 and 1.3 remain unproven.

Combinatorics · Mathematics 2008-08-05 Dmitrii V. Pasechnik

This paper corrects an error in the authors' earlier work, by proving stronger forms of the basic lemmas

Algebraic Geometry · Mathematics 2022-04-20 Lucia Caporaso , Joe Harris , Barry Mazur

We prove a theorem on distortion of cross ratio of four points under the mapping effected by a complex polynomial with restricted critical values. Its corollaries include inequalities involving the absolute value and certain coefficients of…

Complex Variables · Mathematics 2013-01-18 V. N. Dubinin

The first aim of this paper is to wonder to what extent we can generalize the central limit theorem of Gordin [5] under the so-called L 1-projective criteria to ergodic stationary random fields when completely commuting filtrations are…

Probability · Mathematics 2022-01-19 Han-Mai Lin , Florence Merlevède , Dalibor Voln{ý}

Let $H$ be a Hilbert space and $H_1,...,H_n$ be closed subspaces of $H$. Set $H_0:=H_1\cap H_2\cap...\cap H_n$ and let $P_k$ be the orthogonal projection onto $H_k$, $k=0,1,...,n$. The paper is devoted to the study of functions…

Functional Analysis · Mathematics 2019-08-02 Ivan Feshchenko

This note points out a gap in the proof of one of the technical results in the paper "Asymptotic Invariants of Base Loci", that appeared in Ann. Inst. Fourier (Grenoble) 56 (2006), 1701-1734. We provide a correct proof of this result.

Algebraic Geometry · Mathematics 2023-10-02 Lawrence Ein , Robert Lazarsfeld , Mircea Mustata , Michael Nakamaye , Mihnea Popa

[Note: Currently the proof is incomplete as we are using the lemma 3.2 which is not true in general]. We offer a complete resolution of a conjecture by Lions-Perthame-Tadmor mentioned in their celebrated work (1994, [34]). We prove the…

Analysis of PDEs · Mathematics 2019-01-03 Shyam Sundar Ghoshal , Animesh Jana

We provide updated predictions for elastic \gamma ${}^3$He cross sections and asymmetries that correct erroneous results we published in Phys. Rev. Lett. 98, 232303 (2007) and Nucl. Phys. A 819, 98 (2009).

Nuclear Theory · Physics 2018-07-04 Deepshikha Shukla , Andreas Nogga , Daniel R. Phillips