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This is a companion note to our paper 'Some advances on Sidorenko's conjecture', elaborating on a remark in that paper that the approach which proves Sidorenko's conjecture for strongly tree-decomposable graphs may be extended to a broader…

Combinatorics · Mathematics 2018-05-08 David Conlon , Jeong Han Kim , Choongbum Lee , Joonkyung Lee

This paper is concerned with the concept of linear repetitivity in the theory of tilings. We prove a general uniform subadditive ergodic theorem for linearly repetitive tilings. This theorem unifies and extends various known (sub)additive…

Dynamical Systems · Mathematics 2015-02-24 David Damanik , Daniel Lenz

We comment on the recent paper "Large-Scale Monte Carlo Study of a Realistic Lattice Model for Ga_(1-x)Mn_xAs" by Y. Yildirim, G. Alvarez, A. Moreo and E. Dagotto", Phys Rev. Lett.{\bf 99}, 057207 (2007); cond-mat/0612002

Disordered Systems and Neural Networks · Physics 2009-11-13 Georges Bouzerar , Richard Bouzerar

We modify arguments in Vladimir Kanovei, Linearization of definable order relations, APAL, 102(1-2):69--100, 2000, to reprove a linearization theorem on real-ordinal definable partial quasi-orderings in the Solovay model.

Logic · Mathematics 2018-08-16 Vladimir Kanovei , Vassily Lyubetsky

With regard to the recently published article, ``Y.-Q. Wang, et al., Physical mechanism of equiprobable exclusion network with heterogeneous interactions in phase transitions: Analytical analyses of steady state evolving from initial state,…

Statistical Mechanics · Physics 2022-01-19 Takahiro Ezaki

Ozdogan (Int. J. Quantum Chem., 92 (2003) 419) published formulas for evaluating the multielectron multicenter molecular integrals over Slater-type orbitals (STOs). It is demonstrated that the formulas presented in this work are not…

Chemical Physics · Physics 2007-05-23 I. I. Guseinov

This is a supplement to the article "Markov Chain Monte Carlo Based on Deterministic Transformations" available at http://arxiv.org/abs/1106.5850

Computation · Statistics 2013-07-01 Somak Dutta , Sourabh Bhattacharya

This report discusses the improved bound of the cluster expansion, recently proposed by Procacci and Yuhjtman (Lett. Math. Phys. 107, 31, 2017). Brydges and Helmuth noticed the relevance of Kruskal's algorithm, which allows to streamline…

Mathematical Physics · Physics 2019-06-10 Daniel Ueltschi

This Comment points out a number of errors in the recent paper by Zarechnaya, Dubrovinskaia, Dubrovinsky, et al. (Phys. Rev. Lett. 102, 185501 (2009)). Results and conclusions presented by Zarechnaya et al. (2009) are either incorrect or…

Materials Science · Physics 2010-12-30 A. R. Oganov , V. L. Solozhenko , O. O. Kurakevych , C. Gatti , Y. Ma , J. Chen , Z. Liu , R. J. Hemley

Comment: Expert Elicitation for Reliable System Design [arXiv:0708.0279]

Methodology · Statistics 2007-08-03 Wenbin Wang

Comment: Expert Elicitation for Reliable System Design [arXiv:0708.0279]

Methodology · Statistics 2007-08-03 Andrew Koehler

Comment: Expert Elicitation for Reliable System Design [arXiv:0708.0279]

Methodology · Statistics 2009-09-29 Norman Fenton , Martin Neil

This article shows that the units of a skew monoidal category are unique up to a unique isomorphism, and internalises this fact to skew monoidales. Some benefits of certain extra structure on the unit maps are also discussed before the…

Category Theory · Mathematics 2015-05-11 Jim Andrianopoulos

Following up on the plenary talk given by Ulf Mei{\ss}ner, I discuss a generalization of the concept of nucleon spin-polarizabilities in terms of multipole excitation/de-excitation and present an overview of the available theoretical…

Nuclear Theory · Physics 2017-08-23 Thomas R. Hemmert

This is a comment on M. Stern, V. Garmider, E. Segre, M. Rappaport, V. Umansky, Y. Levinson, and I. Bar-Joseph, Phys. Rev. Lett. 101, 257402 (2008).

Mesoscale and Nanoscale Physics · Physics 2012-05-15 A. L. Ivanov , E. A. Muljarov , L. Mouchliadis , R. Zimmermann

Let $A$ be a subset of $\mathbb{Z} / N\mathbb{Z}$ and let $\mathcal{R}$ be the set of large Fourier coefficients of $A$. Properties of $\mathcal{R}$ have been studied in works of M.-- C. Chang, B. Green and the author. In the paper we…

Number Theory · Mathematics 2007-05-23 I. D. Shkredov

We recover a recent result of A. Alekseev et E. Meinrenken (arXiv: math. RT/0308135) by using our theory of generalized Harish-Chandra homomorphism for symmetric pair.

Representation Theory · Mathematics 2007-05-23 Charles Torossian

The paper deals with a generalisation of uniform distribution. The analogues of Weyl's criterion are derived.

Functional Analysis · Mathematics 2015-11-25 Ligia L. Cristea , Milan Pasteka

In this paper, we study some characterizations of fuzzifying strong compactness including nets and pre-subbases properties. We also introduve new characterizations of locally strong compactness in fuzzifying topology and mappings.

Logic · Mathematics 2018-02-07 O. R. Sayed , Adem Kilicman

Reply to the Comment of J.J. Alonso and J.F. Fernandez on the paper "'Hole-digging' in ensembles of tunneling molecular magnets" of I.S. Tupitsyn, P.C.E. Stamp and N.V. Prokof'ev (Phys. Rev. B 69, 132406, (2004)).

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. S. Tupitsyn , P. C. E. Stamp , N. V. Prokof'ev