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In this note, the correction to the proof of one theorem in some our previous paper [arXiv:1302.0589] will be given.

Rings and Algebras · Mathematics 2020-02-18 Bui Xuan Hai

This note contains a correction to the paper, ``Local contribution to the Lefschetz fixed point formula'', Inv. Math. 111 (1993), pp. 1-33.

Algebraic Topology · Mathematics 2007-05-23 Mark Goresky , Robert MacPherson

The authors of preprint arXiv:2009.00286 and paper Appl. Phys. Lett. 117, 130501 (2020), Y. Sivan and Y. Dubi, made several wrong and inconsistent comments on our papers [J. Phys. Chem. C 117, 16616-16631 (2013), ACS Photonics 4 (11),…

Materials Science · Physics 2020-11-17 Alexander O. Govorov , Lucas V. Besteiro

The aim of this article is to prove that diffusion processes in $\mathbb{R}^d$ with a drift can be approximated by suitable Markov chains on $n^{-1}\mathbb{Z}^d$. Moreover, we investigate sufficient conditions on the conductances which…

Probability · Mathematics 2022-05-03 Marvin Weidner

Misprints in eq. (7), which propagate up to eq. (13), are corrected. References are updated.

Condensed Matter · Physics 2008-02-03 Yong-Shi Wu

The paper by Bowen, Mancini, Fessatidis, and Murawski (2012 Phys. Scr. {\bf 85}, 065005) demonstrates in a dramatic fashion the serious difficulties that can arise when one rushes to perform numerical studies before understanding the…

Quantum Physics · Physics 2018-07-06 Carl M. Bender , Stefan Boettcher

This is a comment on [G. Knight and R. Klages, Phys. Rev. E 84, 041135 (2011); also available at arXiv:1107.5293v2 [math-ph]].

Statistical Mechanics · Physics 2011-11-29 Thomas Gilbert , David P. Sanders

A Comment on the paper "Conservative Quantum Computing" by M. Ozawa, Phys. Rev. Lett. 89, 057902 (2002). The author replies in Phys. Rev. Lett. 91, 089802 (2003).

Quantum Physics · Physics 2009-11-10 Daniel A. Lidar

This paper specifies a notation for Markov decision processes.

Artificial Intelligence · Computer Science 2016-09-09 Philip S. Thomas , Billy Okal

Diffusive approximations of Markov jump processes often fail to accurately capture large fluctuations. This is confounding, as the rare events triggered by these large fluctuations, such as the failure of electronic memories, are often the…

Mesoscale and Nanoscale Physics · Physics 2025-12-17 David Roberts , Trevor McCourt , Geremia Massarelli , Jeremy Rothschild , Nahuel Freitas

An algorithm for estimating quasi-stationary distribution of finite state space Markov chains has been proven in a previous paper. Now this paper proves a similar algorithm that works for general state space Markov chains under very general…

Probability · Mathematics 2015-03-04 Jose H. Blanchet , Peter Glynn , Shuheng Zheng

In the paper [Muhammad Aslam Noor, Khalida Inayat Noor, Three-step iterative methods for nonlinear equations, Applied Mathematics and Computation, 183 (2006), pp. 322-327 ], Authors presented an algorithm (\textbf{Algorithm 2.3}) and stated…

Numerical Analysis · Mathematics 2015-03-13 Laila M Assas , Fayyaz Ahmad , Malik Zaka Ullah

Short review article on quantum computation accepted for Supplement III, Encyclopaedia of Mathematics (publication expected Summer 2001). See also http://www.wkap.nl/series.htm/ENM

Quantum Physics · Physics 2007-05-23 E. H. Knill , M. A. Nielsen

This manuscripts corrects some minor error in the paper, Mod. Phys. Lett. A 6 1893 (1991)

High Energy Physics - Theory · Physics 2009-10-22 V. G. J. Rodgers

In this correspondence, it is given a correction to Theorem 4 in Y. Hu, and G. Xiao, "Generalized Self-Shrinking Generator," IEEE Transactions on Information Theory, vol. 50, No. 4, pp. 714-719, April 2004.

Discrete Mathematics · Computer Science 2010-06-08 Amparo Fúster-Sabater

A simple linear algebraic explanation of the algorithm in "A Spectral Algorithm for Learning Hidden Markov Models" (COLT 2009). Most of the content is in Figure 2; the text just makes everything precise in four nearly-trivial claims.

Methodology · Statistics 2012-04-12 Matthew James Johnson

Erratum to "From Uncertainty Principles to Wegner Estimates".

Mathematical Physics · Physics 2015-06-11 Peter Stollmann

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

After the publication of [Compos. Math. 156 (2020), no. 4, 822-861], Andrew Putman pointed out a mistake in our paper and helped us fix it. In this note, we will explain what this mistake is and how to fix it.

Algebraic Topology · Mathematics 2025-08-22 Jeremy Miller , Rohit Nagpal , Peter Patzt