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This note points out a gap in the proof of one of the technical results in the paper "Asymptotic Invariants of Base Loci", that appeared in Ann. Inst. Fourier (Grenoble) 56 (2006), 1701-1734. We provide a correct proof of this result.

Algebraic Geometry · Mathematics 2023-10-02 Lawrence Ein , Robert Lazarsfeld , Mircea Mustata , Michael Nakamaye , Mihnea Popa

We develop an algorithm for efficiently computing recursively defined functions on posets. We illustrate this algorithm by disproving conjectures about the game Subset Takeaway (Chomp on a hypercube) and computing the number of linear…

Combinatorics · Mathematics 2017-07-11 Andries E. Brouwer , J. Daniel Christensen

We give a corrected version of Corollary 3.33 in: H. Flenner, S. Kaliman, and M. Zaidenberg, Birational transformations of weighted graphs. Affine algebraic geometry. Osaka Univ. Press, 2007, 107-147.

Algebraic Geometry · Mathematics 2009-10-13 Hubert Flenner , Shulim Kaliman , Mikhail Zaidenberg

This note is to publicly answer to a paper recently accepted to SWAT 2020 [1] that claims to have solved an error in our papers [3,2] by proposing a solution with worst performances. In the following section we describe in detail sections…

Data Structures and Algorithms · Computer Science 2021-12-10 Maurizio Talamo , Paola Vocca

Two typos in the published paper are pointed out. Both are just typos and the calculations in that paper are based on the correct formulism.

Condensed Matter · Physics 2007-05-23 M. W. Wu

This thesis presents some geometric insights into three different types of two player prediction games -- namely general learning task, prediction with expert advice, and online convex optimization. These games differ in the nature of the…

Machine Learning · Computer Science 2018-05-23 Parameswaran Kamalaruban

A correction to the specification of the mechanism proposed in "An Efficient Game Form for Unicast Service Provisioning" is given.

Optimization and Control · Mathematics 2015-03-13 Ali Kakhbod , Demosthenis Teneketzis

Erratum to "From Uncertainty Principles to Wegner Estimates".

Mathematical Physics · Physics 2015-06-11 Peter Stollmann

This erratum corrects a number of formulae containing mistakes in the paper 'Luminosity function, sizes and FR dichotomy of radio-loud AGN', 2007, MNRAS, v. 381, p.1548. The corrections do not alter any of the conclusions in the original…

Astrophysics · Physics 2009-11-13 Christian R. Kaiser , Philip N. Best

We define a new concept of "mistake" strategies and actions for strategic-form and extensive-form games, analyze the relationship to prior main game-theoretic solution concepts, study algorithms for computation, and explore practicality.…

Computer Science and Game Theory · Computer Science 2020-10-29 Sam Ganzfried

Recently, we discovered a mistake in our Letter on phase dynamics in granular d-wave superconductors, which we corrected in an Erratum published last week. This is an expanded version of the Erratum, containing details and supporting…

Superconductivity · Physics 2009-11-10 Yogesh N. Joglekar , A. H. Castro Neto , Alexander V. Balatsky

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)

Probability · Mathematics 2010-02-08 Bela Bollobas , Oliver Riordan

Poset games have been the object of mathematical study for over a century, but little has been written on the computational complexity of determining important properties of these games. In this introduction we develop the fundamentals of…

Computational Complexity · Computer Science 2015-06-26 Stephen A. Fenner , John Rogers

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 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

The formulas in the above Erratum are corrected.

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Csorgo

This brief note corrects some errors in the paper quoted in the title, highlights a combinatorial result which may have been overlooked, and points to further improvements in recent literature.

Algebraic Geometry · Mathematics 2008-02-03 J. Maurice Rojas

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

For an ascending correspondence $F:X\to 2^X$ with chain-complete values on a complete lattice $X$, we prove that the set of fixed points is a complete lattice. This strengthens Zhou's fixed point theorem. For chain-complete posets that are…

Theoretical Economics · Economics 2024-07-29 Lu Yu