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In this paper, we study a modified residual-based a posteriori error estimator for the nonconforming linear finite element approximation to the interface problem. The reliability of the estimator is analyzed by a new and direct approach…

Numerical Analysis · Mathematics 2016-11-23 Zhiqiang Cai , Cuiyu He , Shun Zhang

A comment on the paper Appl. Phys. Lett. 104, 161116 (2014).

Mesoscale and Nanoscale Physics · Physics 2018-04-26 S. A. Mikhailov

See hep-ph/0304045

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ramy Naboulsi

This is a Reply to the Comment by Vaidman in arXiv:2306.16756 on the paper: R. B. Griffiths, Phys. Rev. A 107, 062219 (2023)

Quantum Physics · Physics 2024-02-05 Robert B. Griffiths

We explain and correct a mistake in Section 2.6 and Appendix C of the first and second author's paper "Representation Growth and Rational Singularities of the Moduli Space of Local Systems" arXiv:1307.0371.

Algebraic Geometry · Mathematics 2022-04-12 Avraham Aizenbud , Nir Avni , Roberto Rubio

We provide a reply to a comment by I. Goychuk arXiv:1708.04155, version v2 from 27 Aug 2017 (not under active consideration with Phys. Rev. Lett.), on our Letter E. Aghion, D. A. Kessler and E. Barkai, Phys. Rev. Lett., 118, 260601 (2017).

Statistical Mechanics · Physics 2017-10-17 Erez Aghion , David A. Kessler , Eli Barkai

This paper presents a full classification of the short-time behavior of the interfaces in the Cauchy problem for the nonlinear second order degenerate parabolic PDE \[ u_t-\Delta u^m +b u^\beta=0, \ x\in \mathbb{R}^N, 0<t<T \] with…

Analysis of PDEs · Mathematics 2020-01-06 Ugur G. Abdulla , Amna Abu Weden

We study the joint probability distribution function (pdf) of the maximum M of the height and its position X_M of a curved growing interface belonging to the universality class described by the Kardar-Parisi-Zhang equation in 1+1…

Statistical Mechanics · Physics 2015-05-18 Joachim Rambeau , Gregory Schehr

Originally published as a Supplemental Appendix to Adjoint Equations in Stability Analysis, Annu. Rev. Fluid Mech. 46:493-517 (2014)

Fluid Dynamics · Physics 2024-04-29 Paolo Luchini , Alessandro Bottaro

In this paper we comment the results of ``Statistics of the Lyapunov Exponent in 1D random periodic-on-Average Systems" [Phys. Rev. Lett. {\bf 81}, 5390, 1998].

Disordered Systems and Neural Networks · Physics 2007-05-23 Pi-Gang Luan , Zhen Ye

We reply to Dukelsky, et al. regarding the article: L. A. Wu, M. S. Byrd and D. A. Lidar, Phys. Rev. Lett. 89, 057904 (2002).

Quantum Physics · Physics 2009-11-10 L. -A. Wu , M. S. Byrd , D. A. Lidar

We present a full classification of the short-time behaviour of the interfaces and local solutions to the nonlinear parabolic $p$-Laplacian type reaction-diffusion equation of non-Newtonian elastic filtration \[…

Analysis of PDEs · Mathematics 2020-06-16 Ugur G. Abdulla , Roqia Jeli

We respond to Comment on our recent letter (Phys.Rev.Lett.99:092501,2007) by Dean et al (arXiv:0709.0449).

Nuclear Theory · Physics 2008-11-26 R. Roth , P. Navratil

We reply to Tsallis' Comment on our "Nonadditive Entropies Yield Probability Distributions with Biases not Warranted by the Data" which first appeared in PRL.

Statistical Mechanics · Physics 2015-04-09 Steve Pressé , Kingshuk Ghosh , Julian Lee , Ken A. Dill

We reply to the comment cond-mat/9902073 by Ben-Naim and Krapivsky on our paper cond-mat/9901130. We show that their arguments are incorrect, and present more numerical results to back our earlier conclusions.

Statistical Mechanics · Physics 2007-05-23 G. Manoj , P. Ray

We comment on a recent Letter by Braunstein and Buceta [PRL vol.81, 630 (1998)], in which a novel equation has been proposed to describe the dynamics of interfaces in the presence of quenched disorder. We argue that the ansatz Braunstein…

Statistical Mechanics · Physics 2009-10-31 Juan M. Lopez , Jose J. Ramasco , Miguel A. Rodriguez

A response to a letter to the editor by Schilling regarding Bartroff, Lorden, and Wang ("Optimal and fast confidence intervals for hypergeometric successes" 2022, arXiv:2109.05624)

Methodology · Statistics 2024-01-23 Jay Bartroff , Gary Lorden , Lijia Wang

Here we give our reply to the comment by Sibirtsev et al on our paper ``Mass and K-Lambda Coupling of the N*(1535)".

High Energy Physics - Phenomenology · Physics 2008-11-26 B. C. Liu , B. S. Zou

We present a general growth model based on non-extensive statistical physics is presented. The obtained equation is expressed in terms of nonadditive $q$ entropy. We show that the most common unidimensional growth laws such as power law,…

Statistical Mechanics · Physics 2021-01-27 I. Rondón , O. Sotolongo-Costa , J. A. González , J. Lee

We reply to criticism by Patrascioiu and Seiler [hep-lat/9502019] of our results [Phys. Rev. Lett. 75, 1891 (1995), hep-lat/9411009] on asymptotic scaling in the two-dimensional $O(3)$ $\sigma$-model, which were based on a…

High Energy Physics - Lattice · Physics 2009-10-28 Sergio Caracciolo , Robert G. Edwards , Andrea Pelissetto , Alan D. Sokal