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In the article "Stochastic evolution equations for large portfolios of Stochastic Volatility models" (Arxiv:1701.05640) there is a mistake in the proof of Theorem 3.1. In this erratum we establish a weaker version of this Theorem and then…

Probability · Mathematics 2019-09-30 Ben Hambly , Nikolaos Kolliopoulos

The purpose of this erratum is to correct a mistake in the proof of Theorem 4.1 of our paper \cite{CF}.

Differential Geometry · Mathematics 2015-05-19 Chris Connell , Benson Farb

The purpose of this erratum and addendum is to correct the errors in [1]. It consists of five components: 1. Lemma 7.1 and Proposition 7.2 are wrong and discarded; 2. A new proof of existence $\lambda(\xi)$ in (7.1) without Proposition 7.2;…

Representation Theory · Mathematics 2017-07-18 Jing-Song Huang

Unfortunately the proof of the main result of [1], Theorem 1, has a flaw. Namely, Lemma 13 used in the proof of Proposition 11 is correct only under an additional assumption that the operator $A$ is normal (adjoint for the one-sided shift…

Spectral Theory · Mathematics 2020-12-29 Artem Dudko , Rostislav Grigorchuk

Let $\lambda_\mathbb{K}(m)$ denote the maximal absolute projection constant over the subspaces of dimension $m$. Apart from the trivial case for $ m=1$, the only known value of $\lambda_\mathbb{K}(m)$ is for $ m=2$ and…

Functional Analysis · Mathematics 2024-02-28 Beata Deregowska , Barbara Lewandowska

We correct a partial mistake for a metric presented in the article "Lattice constellation and codes from quadratic number fields" [IEEE Trans. Inform. Theory, vol. 47, No. 4, May. 2001]. We show that the metric defined in the article is not…

Information Theory · Computer Science 2014-12-01 Murat Güzeltepe

This note points out a gap in the proof of the main theorem of the article "Birationally rigid hypersurfaces" published in Invent. Math. 192 (2013), 533-566, and provides a new proof of the theorem.

Algebraic Geometry · Mathematics 2016-04-20 Tommaso de Fernex

This erratum remedies errors in the literature pertaining to the stable Adams conjecture. As part of the above corrections, we also identify and fix two errors in section 4 of our recent article on the subject. We thank E. Fridelander for…

Algebraic Topology · Mathematics 2026-02-25 Prasit Bhattacharya , Nitu Kitchloo

In this article, the author provides full details of the proof of the concordance/isotopy problem. The first published proof, [5], accomplished this task only partially since there was an error, see the erratum [6], which damaged the main…

Differential Geometry · Mathematics 2018-08-23 Boris Botvinnik

Erratum to "From Uncertainty Principles to Wegner Estimates".

Mathematical Physics · Physics 2015-06-11 Peter Stollmann

This erratum corrects the proof given in \cite{E1,E2} about the existence of $ 3D $ Skyrmions. This is done by changing the arguments of the proof while remaining in the same framework of concentration-compactness. Note however that the use…

Mathematical Physics · Physics 2009-11-10 Maria J. Esteban

This short note aims to point out mistakes in one of the implications for Theorem 2.8 in Bayraktar and Yu [Mathematical Finance, 28 (2018), pp. 800-838], which weakens the statement of this theorem.

Portfolio Management · Quantitative Finance 2025-09-16 Erhan Bayraktar , Xiang Yu

The purpose of [1] was as follows. ?We consider special sets of continuants which occur in applications. For these sets we solve the problem of finding maximal and minimal continuants. There are several methods for finding extremum such as…

Number Theory · Mathematics 2021-06-08 I. D. Kan

We complete the proof of Proposition 5.3 of [GJR04].

Number Theory · Mathematics 2019-05-23 David Ginzburg , Dihua Jiang , Baiying Liu , Stephen Rallis

This paper is a corrigendum to the article 'On the ideal theorem for number fields`. The main result of this paper proves to be untrue and is replaced by an estimate of a weighted sum with an improved error term.

Number Theory · Mathematics 2020-06-25 Olivier Bordellès

Estimate (3.39) which appears in the proof of Proposition 3.4 in [Ann. Probab. 27 (1999) 1414--1467, doi:10.1214/aop/1022677454] is wrong. We present below a corrected proof which introduces an extra factor 2 in equations (3.34) and (3.35).…

Probability · Mathematics 2007-05-23 Marzio Cassandro , Enza Orlandi , Pierre Picco

We correct Definition 6.3, Proposition 6.7, and Section 7 in the published version of our paper.

Combinatorics · Mathematics 2011-05-30 Alan Guo , Ezra Miller

In this erratum we explain how to implement some axioms stated in our paper of 2009 so as to obtain a purely "local" characterization for finite $B_2$-crystals, which was declared but not clarified at some moments there. Also we correct…

Combinatorics · Mathematics 2020-02-13 Vladimir Danilov , Alexander Karzanov , Gleb Koshevoy

In the erratum we correct a mistake (due to a wrong choice of basic polynomial invariants over Z[1/2]) in the original paper (v1). Using the correct basic polynomial invariants we improve our results and bounds on the annihilator. We also…

Algebraic Geometry · Mathematics 2015-08-05 Sanghoon Baek , Kirill Zainoulline , Changlong Zhong

This erratum aims to correct 1) the wrong expressions, 2) some typographical errors, 3) some erroneous points made in discussion of the disparity of heat flux ratios between our full RPA model and the local conductivity model, and 4) the…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Jia-Huei Jiang , Jian-Sheng Wang
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