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Drees and Rootz\'en [2010] have proven central limit theorems (CLT) for empirical processes of extreme values cluster functionals built from $\beta$-mixing processes. The problem with this family of $\beta$-mixing processes is that it is…

Probability · Mathematics 2015-11-24 José Gregorio Gómez

Corrections and acknowledgment for ``Local limit theory and large deviations for supercritical branching processes'' [math.PR/0407059]

Probability · Mathematics 2007-05-23 P. E. Ney , Anand N. Vidyashankar

Correction to Annals of Probability 28 (2000) 277--302 [doi:10.1214/aop/1019160120].

Probability · Mathematics 2007-05-23 S. Sethuraman

We prove central limit theorems (CLT) for empirical processes of extreme values cluster functionals as in Drees and Rootz\'en (2010). We use coupling properties enlightened for Dedecker \& Prieur's $\tau-$dependence coefficients in order to…

Probability · Mathematics 2016-02-29 Paul Doukhan , José Gregorio Gómez

In the note an error in Low and Lapsley's article ("Optimization Flow Control, I: Basic Algorithm and Convergence", IEEE/ACM Transactions on Networking, 7(6), pp. 861-874, 1999) is pointed out. Because of this error the proof of the Theorem…

Networking and Internet Architecture · Computer Science 2016-10-11 Andrzej Karbowski

In the extreme value analysis of time series, not only the tail behavior is of interest, but also the serial dependence plays a crucial role. Drees and Rootz\'en (2010) established limit theorems for a general class of empirical processes…

Statistics Theory · Mathematics 2015-11-03 Holger Drees

In the note two errors in Low and Lapsley's article "Optimization Flow Control, I: Basic Algorithm and Convergence", "IEEE/ACM Transactions on Networking", 7(6), pp. 861-874, 1999, are shown. Because of these errors the proofs of both…

Networking and Internet Architecture · Computer Science 2016-10-11 Andrzej Karbowski

We provide some corrections and clarifications to the paper [Gr3] of the title. In particular, we clarify the "left/right" conventions on complex reflection groups and their braid groups. Most importantly, we fill in a gap related to the…

Algebraic Geometry · Mathematics 2020-02-27 Mikhail Grinberg

This paper corrects the proof of the Theorem 2 from the Gower's paper \cite[page 5]{Gower:1982} as well as corrects the Theorem 7 from Gower's paper \cite{Gower:1986}. The first correction is needed in order to establish the existence of…

Machine Learning · Computer Science 2018-12-24 Mieczysław A. Kłopotek

We correct the proofs of the main theorems in our paper "Limit theorems for Betti numbers of random simplicial complexes".

Probability · Mathematics 2015-01-16 Matthew Kahle , Elizabeth Meckes

This is an erratum to our paper.

Quantum Physics · Physics 2011-01-28 Zhao Liu , Heng Fan

We analyze the tensor network loop cluster expansion, introduced in [G. Park, J. Gray, and G. K.-L. Chan, Phys. Rev. B 112, 174310 (2025)] as a systematic correction to belief propagation, in the context of general quantum many-body…

A gap in the proof of Theorem 3.5 in the paper ``A new iteration process for approximation of common fixed points for finite families of total asymtotically nonexpansive mappings". Int. J. Math. Math. Sci. vol. 2009,…

Functional Analysis · Mathematics 2012-04-10 C. E. Chidume , E. U. Ofoedu

We investigate error orders for integral limit approximations to traces of products of Toeplitz matrices generated by integrable functions on $[-\pi,\pi]$ having some singularities at the origin. Even though a sharp error order of the above…

Classical Analysis and ODEs · Mathematics 2022-09-07 Tetsuya Takabatake

We correct some oversights in the paper "A spectral sequence for stratified spaces and configuration spaces of points" by the second named author. In particular we explain that an additional hypothesis should be added to Theorem 4.15 in…

Algebraic Topology · Mathematics 2021-10-05 Nir Gadish , Dan Petersen

This draft is intended to be used as class notes for a grad course on rigorous statistical mechanics at math department of UFMG. It should be considered as a very prelimivary version and a work in progress. Several chapters lack references,…

Mathematical Physics · Physics 2023-08-15 Aldo Procacci

In this paper, we correct an upper bound, presented in~\cite{hs-11}, on the generalisation error of classifiers learned through multiple kernel learning. The bound in~\cite{hs-11} uses Rademacher complexity and has an\emph{additive}…

Machine Learning · Computer Science 2014-05-13 Zakria Hussain , John Shawe-Taylor , Mario Marchand

We correct an error in Lemma 4.4 and its application in Theorem 4.5 in our paper ``Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series''.

Number Theory · Mathematics 2025-10-23 Jan Hendrik Bruinier , Martin Raum

We correct here two errors in our earlier paper "An algebraic model for finite loop spaces" [arXiv:1212.2033]

Algebraic Topology · Mathematics 2025-11-05 Carles Broto , Ran Levi , Bob Oliver

This note corrects conditions in Proposition 3.4 and Theorem 5.2(ii) and comments on imprecisions in Propositions 4.2 and 4.4 in Fissler and Ziegel (2016).

Statistics Theory · Mathematics 2021-02-01 Tobias Fissler , Johanna F. Ziegel
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