English
Related papers

Related papers: Erratum for "The degree theorem in higher rank"

200 papers

We prove that the proof of existence of weighted local median order of weighted tournaments is wrong and that the proof of the correct statement which asserts that every digraph obtained from a tournament by deleting a set of arcs incident…

Combinatorics · Mathematics 2015-06-16 Salman Ghazal

We fill in a gap in the proof of the main theorem in our earlier paper [Ol]. At the same time, we prove a slightly stronger version of the theorem needed for another paper.

Group Theory · Mathematics 2021-09-17 Bob Oliver

The statement of Lemma 3.1 in the published paper is not correct. Lemma 3.1 is needed for the proof of Theorem 3.2. Theorem 3.2 as originally stated is true but its "proof" is not correct. Here we change the statements and proofs of Lemma…

Rings and Algebras · Mathematics 2016-01-28 S. Paul Smith

This note provides a counterexample to a theorem announced in the last part of the paper ''Analysis of direct searches for discontinuous functions'', Mathematical Programming Vol. 133, pp.~299--325, 2012. The counterexample involves an…

Optimization and Control · Mathematics 2022-12-20 Charles Audet , Pierre-Yves Bouchet , Loïc Bourdin

This is a brief technical note to clarify the state of lower bounds on regret for reinforcement learning. In particular, this paper: - Reproduces a lower bound on regret for reinforcement learning, similar to the result of Theorem 5 in the…

Machine Learning · Statistics 2016-08-10 Ian Osband , Benjamin Van Roy

Theorem 6.1.1 of [H.A.H.A.] on the existence of a model structure on the category of operads is not valid in the generality claimed. We present here a counter-example (due to B. Fresse) and a corrected version of the theorem.

Quantum Algebra · Mathematics 2009-09-29 V. Hinich

This note corrects Example 3.2 in Two-Variable Wiman-Valiron Theory and PDEs by the authors which appeared in Ann. Acad. Sci. Fenn Math. (35) (2010), 571-580.

Complex Variables · Mathematics 2010-10-01 P. C. Fenton , John Rossi

We find it necessary to advise the interested and active instructor of Physics on the wrongness of some computations in the aforementioned article. Surprisingly, the Journal refuses to even publish an erratum on the paper, which naturally…

General Physics · Physics 2011-02-08 Rojas Sergio

We close a gap appearing at the same time in the author's thesis "Iterated rings of bounded elements and generalizations of Schm\"udgen's theorem" [1] and in the author's article "Iterated rings of bounded elements and generalizations of…

Commutative Algebra · Mathematics 2007-05-23 Markus Schweighofer

This paper is an investigation of the relationship between G\"odel's second incompleteness theorem and the well-foundedness of jump hierarchies. It follows from a classic theorem of Spector's that the relation $\{(A,B) \in \mathbb{R}^2 :…

Logic · Mathematics 2021-07-27 Patrick Lutz , James Walsh

This is an erratum to math.AG/9803126, Tohoku 51 (1999) 489-537. This erratum describes: 1. the failure of the algorithm in [AMR] and [Morelli1] for the strong factorization pointed out by Kalle Karu, 2. the statement of a refined weak…

Algebraic Geometry · Mathematics 2007-05-23 Kenji Matsuki

Boris Shoikhet noticed that the proof of lemma 1 in section 2.3 of math.QA/0504420 contains an error. In this note I give a correct proof of this lemma which was suggested to me by Dmitry Tamarkin. The correction does not change the results…

Quantum Algebra · Mathematics 2007-05-23 Vasiliy A. Dolgushev

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

We correct a mistake in the paper with the mentioned title and reference: Calc. Var. Partial Differential Equations 58 (2019), no. 1, 58:21. It corresponds with the preprint arXiv:1712.04727.

Differential Geometry · Mathematics 2020-04-06 Antonio Alarcon , Ildefonso Castro-Infantes , Francisco J. Lopez

This note fills a gap in the article with title above [1]. We provide the proof of Equation (82) of Lemma 5 in [1] and thereby complete its power counting analysis with a more precise next-to-leading-order estimate.

High Energy Physics - Theory · Physics 2017-12-21 Joseph Ben Geloun , Vincent Rivasseau

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

Scientific claim verification against tables typically requires predicting whether a claim is supported or refuted given a table. However, we argue that predicting the final label alone is insufficient: it reveals little about the model's…

Computation and Language · Computer Science 2025-09-18 Xanh Ho , Sunisth Kumar , Yun-Ang Wu , Florian Boudin , Atsuhiro Takasu , Akiko Aizawa

In this article, we give a counter-example to Lemma 12 of the article "On Operations and Linear Extensions of Well Partially Ordered Sets" by Maciej Malicki and Aleksander Rutkowski.

Combinatorics · Mathematics 2019-04-30 Laurent Lyaudet

This paper extends the earlier work on an oscillating error correction technique. Specifically, it extends the design to include further corrections, by adding new layers to the classifier through a branching method. This technique is still…

Machine Learning · Computer Science 2020-05-20 Kieran Greer

Citations are updated; referred papers are increased. An error right after the eq.~(27) is corrected, and several chages (not serious) are made.

High Energy Physics - Theory · Physics 2008-02-03 Norihito Sasaki