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An elementary proof is provided of sharp bounds for the varentropy of random vectors with log-concave densities, as well as for deviations of the information content from its mean. These bounds significantly improve on the bounds obtained…

Probability · Mathematics 2019-03-06 Matthieu Fradelizi , Mokshay Madiman , Liyao Wang

I show that the main statement of [Phys. Rev. Lett. 105, 094802 (2010), arXiv:1005.2617] is wrong. Other inconsistences of this Letter are also discussed.

General Relativity and Quantum Cosmology · Physics 2011-03-03 P. O. Kazinski

We clarify the relationship between the conclusions of the previous Comment of A. Helfer [1] and that of our Brief Report [arXiv:0906.5315]

General Relativity and Quantum Cosmology · Physics 2014-11-21 Ivan Agullo , Jose Navarro-Salas , Gonzalo J. Olmo , Leonard Parker

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

The random Lorentz gas (RLG) is a minimal model of both percolation and glassiness, which leads to a paradox in the infinite-dimensional, $d\rightarrow\infty$ limit: the localization transition is then expected to be continuous for the…

Disordered Systems and Neural Networks · Physics 2021-06-18 Giulio Biroli , Patrick Charbonneau , Yi Hu , Harukuni Ikeda , Grzegorz Szamel , Francesco Zamponi

Does there exist a Lipschitz injection of $\mathbb{Z}^d$ into the open set of a site percolation process on $\mathbb{Z}^D$, if the percolation parameter p is sufficiently close to 1? We prove a negative answer when d=D and also when…

Probability · Mathematics 2012-09-27 Geoffrey R. Grimmett , Alexander E. Holroyd

In this comment we report that a recent paper [Eur. Phys. J. Plus 138, 195 (2023)] contains significant errors, omissions and inaccuracies.

Exactly Solvable and Integrable Systems · Physics 2023-08-02 Cihangir Özemir , Faruk Güngör

The differences in potential models used in our work and in the original paper of the authors of the Comment are discussed. The neglecting of simple rules of reaction calculations is shown as a possible origin of the defect in the…

Nuclear Theory · Physics 2024-06-18 E. M. Tursunov , S. A. Turakulov , K. I. Tursunmakhatov

Recently K. Banaszek, I. A. Walmsley, K. Wodkiewicz (quant-ph/0012097) commented on our Proposal for the Measurement of Bell-Type Correlations from Continuous Variables [T. C. Ralph, W. J. Munro, R. E. S. Polkinghorne, Phys. Rev. Lett. 85,…

Quantum Physics · Physics 2007-05-23 T. C. Ralph , W. J. Munro

The Letter from Rosenfeld (2014, Biological Conservation) in response to Jamieson and Allendorf (2012, Trends in Ecology and Evolution) and Frankham et al. (2014, Biological Conservation) and related papers is misleading in places and…

Populations and Evolution · Quantitative Biology 2014-07-02 Richard Frankham , Corey J. A. Bradshaw , Barry W. Brook

A random packing of hard particles represents a fundamental model for granular matter. Despite its importance, analytical modeling of random packings remains difficult due to the existence of strong correlations which preclude the…

Soft Condensed Matter · Physics 2014-05-27 Yuliang Jin , James G. Puckett , Hernan A. Makse

We correct some tables and figures in [A.P. Bustamante and R.C. Calleja, Physica D: Nonlinear Phenomena, 395 (2019), pp. 15-23, arXiv:1712.05476]. We also report on the new computations that verify the accuracy of the data and extend the…

Dynamical Systems · Mathematics 2021-02-24 Adrian P. Bustamante , Renato C. Calleja

We argue that the results presented by M. Semeraro et al. [Phys. Rev. Lett. 131, 158302 (2023)] for the work fluctuations of an active Ornstein-Uhlenbeck particle trapped in a harmonic potential are incomplete and partly inexact due to the…

Statistical Mechanics · Physics 2024-02-13 M. L. Rosinberg , G. Tarjus , T. Munakata

We make a few comments on some misleading statements in the above paper.

Statistical Mechanics · Physics 2015-08-04 Neri Merhav

We reply to the comment by Jung, Bokes, and Godby (arXiv:0706.0140) on our paper Phys. Rev. Lett. 94, 186810 (2005). We show that the results in their comment should not be taken as an indication that the viscosity corrections to the…

Mesoscale and Nanoscale Physics · Physics 2007-06-19 Na Sai , Michael Zwolak , Giovanni Vignale , Massimiliano Di Ventra

In the article "Universal Densities Exist for Every Finite Reference Measure" (IEEE Trans. Inform. Theory, vol. 69, no. 8, pp. 5277--5288, 2023) we neglected to mention relevant contributions of Boris Ryabko. We cited a source by him that…

Information Theory · Computer Science 2023-11-16 Łukasz Dębowski

In this note we study a quantitative version of Bernstein's approximation problem when the polynomials are dense in weighted spaces on the real line completing a result of S.~N.~Mergelyan (1960). We estimate in the logarithmic scale the…

Classical Analysis and ODEs · Mathematics 2022-11-28 Anna Kononova

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

The expansion of the conductivity in 2-d quantum Lorentz models in terms of the scatterer density n is considered. We show that nonanalyticities in the density expansion due to scattering processes with small and large momentum transfers,…

Statistical Mechanics · Physics 2009-10-28 F. Evers , D. Belitz , Wansoo Park

There is a serious flaw in the proposal [arXiv:1603.06857] for the achievement of unity efficiency in SPDC. This is a replacement due to mistakes in the table of probabilities. Numbers have been corrected.

Quantum Physics · Physics 2017-08-02 M. K. Olsen