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In the article titled "Branching-Coalescing Particle Systems" published in Probability Theory and Related Fields 131(3), pages 376-414, (2005), Theorem 7 as stated there is incorrect. Indeed, we show by counterexample that the equality that…

Probability · Mathematics 2009-04-16 Siva R. Athreya , Jan M. Swart

In this work, we show that the proof of the main result in [An Application of Hayashi's Inequality for Differentiable Functions, Computers & Mathematics with Applications, 32 (6) (1996), 95--99, by R.P. Agarwal and S.S. Dragomir] was wrong.…

Classical Analysis and ODEs · Mathematics 2022-03-10 M. W. Alomari

Comment on "Efficiency of Isothermal Molecular Machines at Maximum Power" (PRL 108, 210602 (2012), arXiv:1201.6396)

Statistical Mechanics · Physics 2015-03-06 Yunxin Zhang

We point out that an erroneous derivation in the recent paper [Fetecau et al., Nonlinear Anal. RWA 12 (2011) 1] yields a correct solution by accident. Additionally, a number of misrepresentations and inaccuracies in the latter recent paper…

Fluid Dynamics · Physics 2011-08-19 Ivan C. Christov

This is a copy of the article published in Math Res. Letters 5, (1998) 497-516.

Algebraic Geometry · Mathematics 2011-05-12 A. B. Goncharov

This is a reaction to the article Symplectic bipotentials, in published form [2] Harakeh M, Ban M, de Saxce G. Symplectic bipotentials. Mathematics and Mechanics of Solids. 2026;0(0) doi:10.1177/10812865251413554, and in preprint form [1]…

Symplectic Geometry · Mathematics 2026-04-21 Marius Buliga

We refine stochastic calculus for symmetric Markov processes without using time reverse operators. Under some conditions on the jump functions of locally square integrable martingale additive functionals, we extend Nakao's divergence-like…

Probability · Mathematics 2012-11-09 Kazuhiro Kuwae

The paper (as posted originally) contains several errors. It has been subsequently split into two papers, the corrected (and accepted for publication) versions appear in the archive as papers cs.CC/0503082 and cs.DM/0503083.

Computational Complexity · Computer Science 2007-05-23 Gabriel Istrate

Errata are given for J.F. Gunion and H.E. Haber, Nucl. Phys. B272 (1986) 1, Nucl. Phys. B278 (1986) 449, and Nucl. Phys. B307 (1988) 445.

High Energy Physics - Phenomenology · Physics 2007-05-23 John F. Gunion , Howard E. Haber

Under continuity and recurrence assumptions, we prove that the iteration of successive partial symmetrizations that form a time-homogeneous Markov process, converges to a symmetrization. We cover several settings, including the…

Probability · Mathematics 2018-08-21 Justin Dekeyser , Jean Van Schaftingen

We show that the principal results of the article "The metric dimension of graph with pendant edges" [Journal of Combinatorial Mathematics and Combinatorial Computing, 65 (2008) 139--145] do not hold. In this paper we correct the results…

Combinatorics · Mathematics 2010-10-12 D. Kuziak , J. A. Rodriguez-Velazquez , I. G. Yero

We correct an error in the second part of Theorem 3 of our original paper (arXiv:1512.07161).

Differential Geometry · Mathematics 2017-01-02 Boris Kruglikov , Henrik Winther

It has been pointed out by counterexamples in a 2013 paper in the IEEE Transactions on Computers [1], that there is an error in the previously ibid.\ in 2005 published paper [2] on the construction of valid digit selection tables for SRT…

Hardware Architecture · Computer Science 2014-11-25 Peter Kornerup

In this paper we show that the claims in [Class. Quantum Grav. 19 (2002) 3067, gr-qc/0203081] related to our analysis in [Phys. Rev. D 62, 063508 (2000), astro-ph/0005070] are wrong.

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luis P. Chimento , Alejandro S. Jakubi , Diego Pavon

We make remarks on Fern\'{a}ndez Guasti's paper [{\it J. Phys. A: Math. Gen.} 39 (2006) 11825-11832] by pointing out some mistakes Fern\'{a}ndez Guasti derived therein.

General Physics · Physics 2007-05-23 Kwang-Hua W. Chu

This document is an internet supplement to my book "Partially Observed Markov Decision Processes - From Filtering to Controlled Sensing" published by Cambridge University Press in 2016. This internet supplement contains exercises, examples…

Optimization and Control · Mathematics 2016-04-28 Vikram Krishnamurthy

We clarify a number of points raised in [Matias, arXiv:cond-mat/0507471v2 (2005)].

Disordered Systems and Neural Networks · Physics 2007-05-23 S. Boccaletti , M. Chavez , A. Amann , D. -U. Hwang

A comment on a misleading statement contained in [Phys. Rev. A 97, 062115 (2018)]. v2: a typo corrected

Quantum Physics · Physics 2018-07-17 Marcin Wieśniak

In this brief report we pointed at mistake in paper A. Zholents, Damping Force in the Transit-Time Method of Optical Stochastic Cooling, PRLST. Mar 1, 2012. 2 pp. Published in Phys.Rev.ST Accel. Beams 15 (2012) 032801.

Accelerator Physics · Physics 2013-07-24 E. G. Bessonov , A. A. Mikhailichenko