Related papers: Erratum for "The degree theorem in higher rank"
When deriving a formula for the Hall conductivity of interacting electrons in Phys. Rev. B 86, 165133, we have relied on an unjustified implicit assumption that a certain gauge choice could be made. Only under this condition would the…
There is a gap in Theorem 2.2 of the paper of Du (\cite{D_2010}). In this paper, we shall state the gap and repair it.
This paper has been withdrawn as the proof of Lemma 4.1 is incomplete.
We correct a simple error in Percolation on random Johnson-Mehl tessellations and related models, Probability Theory and Related Fields 140 (2008), 417-468. (See also arXiv:math/0610716)
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.
In the paper [3] the value of the invariant denoted by d and often called "rank" was misstated for a narrow class of examples of ECS manifolds: they were identified as having d = 1 instead of the correct value d = 2. The error was repeated,…
The original paper, as published in Nuclear Physics B in 1988, had a few factor-of-two errors. Some people got confused by those errors. The purpose of these errata is to make things clear. The revised version of the complete article is…
This paper is withdrawn. We found a mistake in Lemma 4.1
I review the recent work on obtaining precise estimates of higher-order corrections in QCD and field theory.
An error in the author's paper (Functiones et Approximatio, 37 . pp. 203-211) is corrected.
This version of the paper corrects an inaccuracy in the proof of Theorem 2.9 in the published version. The main results remain unchanged.
This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.
We prove an analytic KAM-Theorem, which is used in [1], where the differential part of KAM-theory is discussed. Related theorems on analytic KAM-theory exist in the literature (e. g., among many others, [7], [8], [13]). The aim of the…
We correct a mistake in a lemma in the paper cited in the title and show that it did not affect any of the other results of the paper. To this end we prove results on linearly disjoint field extensions that do not seem to be commonly known.…
This paper have serious error in the proof of main theorem 1.1.Result is not proved.
We address the fundamental task of inferring cross-document coreference and hierarchy in scientific texts, which has important applications in knowledge graph construction, search, recommendation and discovery. Large Language Models (LLMs)…
We deal with relatives of GCH which are provable. In particular we deal with rank version of the revised GCH. Our motivation was to find such results when only weak versions of the axiom of choice are assumed but some of the results gives…
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.
We correct the K-theory computation for ring C*-algebras associated with rings of integers in number fields.
The goal of this article is to invite the reader to get to know and to get involved into higher Teichm\"uller theory by describing some of its many facets.