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In this paper, we show that the stability analysis in the paper A note on stability of fractional logistic maps, Appl. Math. Lett. 125 (2022) 107787 is incorrect and repeat a proof of a theorem on the convergence of a convolution of the…

Chaotic Dynamics · Physics 2021-12-22 Mark Edelman

We correct an error in [I. Kangasniemi, and J. Onninen, On the heterogeneous distortion inequality. Math. Ann. 384 (2022), no. 3-4, 1275-1308.]

Complex Variables · Mathematics 2025-05-16 Ilmari Kangasniemi , Jani Onninen

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

We correct some intermediate expressions and arguments in hep-lat/0002009 (Nucl. Phys. B 585 (2000) 471--513). The main results do not change. We also mention some additional observations, including a constraint on a coefficient of the…

High Energy Physics - Lattice · Physics 2007-05-23 Hiroshi Igarashi , Kiyoshi Okuyama , Hiroshi Suzuki

The Lefschetz fixed point theorem follows easily from the identification of the Lefschetz number with the fixed point index. This identification is a consequence of the functoriality of the trace in symmetric monoidal categories. There are…

Algebraic Topology · Mathematics 2014-02-25 Kate Ponto

This article resolves some errors in the paper "Scattering threshold for the focusing nonlinear Klein-Gordon equation", Analysis & PDE 4 (2011) no. 3, 405-460. The errors are in the energy-critical cases in two and higher dimensions.

Analysis of PDEs · Mathematics 2016-06-22 Slim Ibrahim , Nader Masmoudi , Kenji Nakanishi

In this note, it is shown that the results claimed in the paper [1]---as well as the examples presented there---are, unfortunately, incorrect.

Dynamical Systems · Mathematics 2019-09-12 Alejandro Donaire , Jose Guadalupe Romero , Romeo Ortega

Migliore-Mir\'o-Roig-Nagel [Trans. A.M.S. 2011, arXiv: 0811.1023] show that the weak Lefschetz property (WLP) can fail for an ideal I in K[x_1,x_2,x_3,x_4] generated by powers of linear forms. This is in contrast to the analogous situation…

Commutative Algebra · Mathematics 2014-02-26 Brian Harbourne , Hal Schenck , Alexandra Seceleanu

This note covers two parts. The first one provides an errata to the paper "Numerical and analytical modeling of busbar systems". We mainly give the correction for three equations affected by a typographical mistake. Despite the corrections…

Numerical Analysis · Mathematics 2014-10-16 Luca Giaccone , Aldo Canova

We prove a version of the Lefschetz fixed point theorem for multivalued maps $F:X\multimap X$ in which $X$ is a finite $T_0$ space.

Dynamical Systems · Mathematics 2020-05-29 Jonathan Ariel Barmak , Marian Mrozek , Thomas Wanner

The aim of this note is to give a geometric proof for classical local rigidity of lattices in semisimple Lie groups. We are reproving well known results in a more geometric (and hopefully clearer) way.

Group Theory · Mathematics 2017-02-02 Nicolas Bergeron , Tsachik Gelander

An existing solvability result for relaxed one-sided Lipschitz algebraic inclusions is substantially improved. This enhanced solvability result allows the design of a very robust numerical method for the approximation of a solution of the…

Optimization and Control · Mathematics 2013-08-19 Wolf-Jürgen Beyn , Janosch Rieger

In the present article, we have given a corrigendum to our paper "Some approximation results on Bernstein-Schurer operators defined by (p,q)-integers" published in Journal of In- equalities and Applications (2015) 2015:249.

Classical Analysis and ODEs · Mathematics 2015-11-30 M. Mursaleen , Md. Nasiruzzaman , Ashirbayev Nurgali

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

In this paper, some existence results for sign-changing critical points of locally Lipschitz functionals in real Banach space are obtained by the method combining the invariant sets of descending ow method with a quantitative deformation.…

Analysis of PDEs · Mathematics 2024-04-26 Xian Xu , Baoxia Qin

This paper is withdrawn by the author. See math.GT/9811093 for replacement.

Geometric Topology · Mathematics 2007-05-23 Terry Fuller

In this paper local Lipschitz regularity of weak solutions to certain singular elliptic equations involving one-Laplacian is studied. Equations treated here also contains another well-behaving elliptic operator such as $p$-Laplacian with…

Analysis of PDEs · Mathematics 2021-01-20 Shuntaro Tsubouchi

We employ the derivative expansion of the nonperturbative renormalization group to address the phenomenon of anisotropic scale invariance and the associated functional fixed points, also known as Lifshitz points, in systems characterized by…

Statistical Mechanics · Physics 2025-11-27 Gonzalo De Polsi , Pawel Jakubczyk

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 the paper it is reported that Bell's correlation formula allows an Einstein local hidden variables explanation. The key is the application of Petis integration.

General Physics · Physics 2025-02-25 J. F. Geurdes