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In "On the homotopy theory of arrangements," published in 1986, the authors gave a comprehensive survey of the subject. This article updates and continues the earlier article, noting some key open problems.

Combinatorics · Mathematics 2007-05-23 Michael Falk , Richard Randell

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

Various spaces of symmetries of a structure are naturally endowed with both an algebraic and a topological structure. For example, the automorphism group of a structure is, on top of being a group, a topological group when equipped with the…

Logic · Mathematics 2025-12-02 Paolo Marimon , Michael Pinsker

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.

Functional Analysis · Mathematics 2011-02-14 Thabet Abdeljawad , Erdal Karapınar

Contents 1 Mappings and distortion 2 The mathematics of good behavior much of the time, and the BMO frame of mind 3 Finite polyhedra and combinatorial parameterization problems 4 Quantitative topology, and calculus on singular spaces 5…

Metric Geometry · Mathematics 2016-09-07 Stephen Semmes

The problem of equivalency for linear differential operators of the first order is discussed.

Differential Geometry · Mathematics 2020-03-31 Valentin Lychagin

Preliminary version of Chapter 2 in the book "Encyclopedia of Special functions: The Askey-Bateman Project, Vol. 2: Multivariate special functions", T. H. Koornwinder and J. V. Stokman (eds.), Cambridge University Press, 2021.

Classical Analysis and ODEs · Mathematics 2021-05-05 Yuan Xu

Motivated by issues in string theory and M-theory, we provide a pedestrian introduction to automorphic forms and theta series, emphasizing examples rather than generality.

High Energy Physics - Theory · Physics 2007-05-23 B. Pioline , A. Waldron

This is a review of the paper "Anomalies in Quantum Field Theory and Cohomologies of Configuration Spaces" (arXiv:0903.0187).

Mathematical Physics · Physics 2009-07-23 Nikolay M. Nikolov

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

In this companion paper to our article {\em Accidental CR structures} (arxiv.org, January 2023), thought of as an appendix not submitted for publication, we provide complete explicit lists of infinitesimal CR automorphisms for the concerned…

Complex Variables · Mathematics 2023-02-14 C. Denson Hill , Joël Merker , Zhaohu Nie , Paweł Nurowski

We apply results proved in [Li19] to the linear order expansions of non-trivial free homogeneous structures and the universal n-linear order for $n\geq 2$, and prove the simplicity of their automorphism groups.

Group Theory · Mathematics 2020-09-08 Yibei Li

This article discusses a number of incorrect statements appearing in textbooks on data analysis, machine learning, or computational methods; the common theme in all these cases is the relevance and application of statistics to the study of…

Data Analysis, Statistics and Probability · Physics 2023-01-13 Alexandros Gezerlis , Martin Williams

A few typos in Mamajek, Meyer, & Liebert (2002, AJ, 124, 1670) have been corrected in this erratum (including two stellar misidentifications and an incorrect power in the units of a slope). The most significant is the correction of a sign…

Astrophysics · Physics 2008-11-26 E. E. Mamajek , M. R. Meyer , J. Liebert

Correction to The Annals of Probability 21 (1993) 554--580 [http://projecteuclid.org/euclid.aop/1176989415]

Probability · Mathematics 2008-09-26 Paul Dupuis , Hitoshi Ishii

This note contains a correction of the proofs of the main results of the paper [A. Yekutieli, Deformation quantization in algebraic geometry, Adv. Math. 198 (2005), 383-432]. The results are correct as originally stated.

Algebraic Geometry · Mathematics 2007-08-14 Amnon Yekutieli

In this note, we argue that there is a bug in [Tirole, J., "Hierarchies and bureaucracies: On the role of collusion in organizations," {\em Journal of Law, Economics and Organization}, vol.2, 181-214, 1986].

Computer Science and Game Theory · Computer Science 2010-10-06 Shang-Guan H. Wu

preprint withdrawn. A revised version of this paper, with different authors appears in E. Nelson, P. Wolynes, and J. Onuchic, in Optimization in computational chemistry and molecular biology, C. Floudas and P. Pardalos editors, (1999)). The…

Biological Physics · Physics 2007-05-23 E. Nelson , L. Ten Eyck , J. Onuchic

This article is a brief survey of the theory of topological modular forms (TMF) and the theory of topological automorphic forms (TAF). It will be a chapter in forthcoming "Handbook of Homotopy Theory" edited by Haynes Miller.

Algebraic Topology · Mathematics 2019-02-07 Mark Behrens

The review paper by Zhang Zhi-Dong contains many errors and is based on several earlier works that are equally wrong.

Statistical Mechanics · Physics 2013-08-12 Jacques H. H. Perk