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In this paper, we prove the existence of fundamental relations between information theory and estimation theory for network-coded flows. When the network is represented by a directed graph G=(V, E) and under the assumption of uncorrelated…

Information Theory · Computer Science 2016-11-17 Samah A. M. Ghanem

Comment on the paper Schiavoni et al., Phys. Rev. Lett. 90, 094101 (2003).

Statistical Mechanics · Physics 2018-02-09 Ricardo Chacón

The original version of this paper contains an error; when this is corrected the basic conclusion changes. A revised manuscript will be submitted shortly.

High Energy Physics - Theory · Physics 2008-02-03 M. Dine , R. G. Leigh , D. A. MacIntire

Here we give a reformulation of a key lemma in the paper [2], "Spaces of Topological Complexity One", which is necessary due to an oversight.

Algebraic Topology · Mathematics 2019-09-11 Ramandeep Singh Arora

There are some inaccuracies and errors in my article "Dual and almost-dual homogeneous spaces". Here I will describe in detail how to correct incorrect statements from this article and which statements there will have to be reformulated in…

Rings and Algebras · Mathematics 2020-07-29 Vladimir Gorbatsevich

Withdrawn due to error. See D. Lowe, L. Susskind and J. Uglum, hep-th/9402136, for correct treatment. Apologies to all recipients.

High Energy Physics - Theory · Physics 2008-02-03 David A. Lowe

The cited article contains a serious flaw. A remedy is found in articles by other authors.

Computational Physics · Physics 2019-06-17 Tarek M. A. El-Mistikawy

This erratum corrects the article arXiv:0806.2044 published in Ann. Probab. 36 (2008) 931--970

Probability · Mathematics 2012-05-28 Zhen-Qing Chen , Patrick J. Fitzsimmons , Kazuhiro Kuwae , Tu-Sheng Zhang

For optimal power flow problems with chance constraints, a particularly effective method is based on a fixed point iteration applied to a sequence of deterministic power flow problems. However, a priori, the convergence of such an approach…

Optimization and Control · Mathematics 2023-12-13 Johannes J. Brust , Mihai Anitescu

The paper proposes a general framework to analyze control problems for conservation law models on a network. Namely we consider a general class of junction distribution controls and inflow controls and we establish the compactness in $L^1$…

Analysis of PDEs · Mathematics 2018-07-24 Fabio Ancona , Annalisa Cesaroni , Giuseppe Maria Coclite , Mauro Garavello

There is a gap in Theorem 2.2 of the paper of Du (\cite{D_2010}). In this paper, we shall state the gap and repair it.

Functional Analysis · Mathematics 2011-02-14 Thabet Abdeljawad , Erdal Karapınar

Limited presence of nodal and line meters in distribution grids hinders their optimal operation and participation in real-time markets. In particular lack of real-time information on the grid topology and infrequently calibrated line…

Systems and Control · Computer Science 2018-03-13 Sejun Park , Deepjyoti Deka , Michael Chertkov

There are errors in the dynamics model in \cite{b1}. In addition, some details of the derivations and assumptions are missing in the paper. This letter was submitted to the IEEE Transactions on Mechatronics and although reviewers…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Mohammad Biglarbegian

The Annals of Applied Probability (2002) 12 1114-1137

Probability · Mathematics 2008-11-23 Jean B. Lasserre

This Comment identifies errors in the formalism/implementation reported in Ref. 1 and discusses some aspects of that work that were not fully specified in the original publication. This Comment also provides reference numerical results for…

Chemical Physics · Physics 2023-02-15 Conner Masteran , Ashutosh Kumar , Nakul Teke , Bimal Gaudel , Takeshi Yanai , Edward F. Valeev

We correct a gap in the proof of Theorem 2 in Matsushima et al. (2010).

Theoretical Economics · Economics 2023-04-13 Ian Ball , Deniz Kattwinkel

This note corrects Example 3.2 in Two-Variable Wiman-Valiron Theory and PDEs by the authors which appeared in Ann. Acad. Sci. Fenn Math. (35) (2010), 571-580.

Complex Variables · Mathematics 2010-10-01 P. C. Fenton , John Rossi

We revisit the problem of estimating the parameters of a partially observed diffusion process, consisting of a hidden state process and an observed process, with a continuous time parameter. The estimation is to be done online, i.e. the…

Optimization and Control · Mathematics 2018-10-16 Simone Carlo Surace , Jean-Pascal Pfister

The aim of this paper is to obtain an asymptotic expansion for ergodic integrals of translation flows on flat surfaces of higher genus (Theorem 1) and to give a limit theorem for these flows (Theorem 2).

Dynamical Systems · Mathematics 2011-12-30 Alexander I. Bufetov

In a wide range of applications it is desirable to optimally control a dynamical system with respect to concurrent, potentially competing goals. This gives rise to a multiobjective optimal control problem where, instead of computing a…

Optimization and Control · Mathematics 2020-12-18 Sebastian Peitz , Sina Ober-Blöbaum , Michael Dellnitz