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A brief summary of recent developments in mathematical diffraction theory is given. Particular emphasis is placed on systems with aperiodic order and continuous spectral components. We restrict ourselves to some key results and refer to the…

Mathematical Physics · Physics 2014-09-08 Uwe Grimm , Michael Baake

The note complements topological aspects of the theory of chiral algebras.

Quantum Algebra · Mathematics 2007-11-19 A. Beilinson

F. Rohrlich has recently published two papers, including the paper under review, advocating a particular delay-differential equation as an approximate equation of motion for classical charged particles, which he characterizes as providing a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Stephen Parrott

We reply to the comment [M. Denis, T. Fleig, arXiv:1605.03091v1 (2016)] on paper [L.V. Skripnikov and A.V. Titov, J. Chem. Phys. 142, 024301 (2015)].

Atomic Physics · Physics 2016-10-11 L. V. Skripnikov , A. V. Titov

This reply addresses concerns expressed in a comment (arXiv:2508.16689v1) on arXiv:submit/6841332 [physics.gen-ph] 29 Sep 2025 the paper given in the title (arXiv:2501.02022v2), hereafter referred to as the paper.

General Physics · Physics 2025-10-01 Peter J Mohr

Several rigidity problems in toric topology are addressed in \cite{ma-su08}. In this paper, we survey results on those problems including recent development.

Algebraic Topology · Mathematics 2012-03-21 Suyoung Choi , Mikiya Masuda , Dong Youp Suh

Reply to A. M. M. Pruisken and I. S. Burmistrov: cond-mat/0504763

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. S. Murzin , A. G. M. Jansen

This Reply to preceding Comment of arXiv:1909.09867 shows why the statements in the Comment are misleading. We point out that our physical picture and theirs are fundamentally different, therefore the claim of using their correlation to…

Superconductivity · Physics 2020-03-23 Xin Li , Sooran Kim , Xi Chen , William Fitzhugh

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

These are the commentaries for a volume of reprints of my selected papers with commentaries that I am preparing for publication by World Scientific. Contents: Preface; (1)Early Years, and Condensed Matter Physics; (2) High Energy Neutrino…

High Energy Physics - Phenomenology · Physics 2016-11-23 Stephen L. Adler

A comment has been recently posted on the arXiv (arXiv:1902.07504) that discuss our recent work on encircling multiple exceptional points in Nat. Commun. 9, 4808 (2018). In that comment, the authors claim that our approach is prone to…

Quantum Physics · Physics 2019-03-19 Q. Zhong , M. Khajavikhan , D. N. Christodoulides , R. El-Ganainy

We have reviewed the comment in [3], posted on arXiv.org concerning our recent work in [1]. We reply to the comment in this paper.

Quantum Physics · Physics 2012-05-08 D. Li , X. Li , H. Huang , X. Li

In this paper we study the integrals of fractional parts of given functions, and develop some new tools to understand the behaviour of prime differences. We demonstrate how simply some seemingly difficult conjectures related to prime…

General Mathematics · Mathematics 2013-11-05 Roupam Ghosh

We explain why the analysis in our paper [Phys. Rev. D 69, 064033 (2004), arXiv:gr-qc/0311064 ] is relevant and correct.

General Relativity and Quantum Cosmology · Physics 2011-06-07 T. Roy Choudhury , T. Padmanabhan

We give a brief account of the development of methods to include thermal fluctuations into lattice Boltzmann algorithms. Emphasis is put on our recent work (Phys. Rev. E 76, 036704 (2007)) which provides a clear understanding in terms of…

Statistical Mechanics · Physics 2009-11-13 Burkhard Duenweg , Ulf D. Schiller , Anthony J. C. Ladd

We explore possibilities and limitations of a purely topological approach to the Dvoretzky Theorem.

Algebraic Topology · Mathematics 2009-07-30 Dmitri Burago , Sergei Ivanov , Serge Tabachnikov

This is a Reply to a Comment by V.P. Torchigin and A.V. Torchigin, published in Physical Review A 92, 017803 (2015). The paper which is commented upon is titled "Deducing radiation pressure on a submerged mirror from the Doppler shift,"…

Optics · Physics 2015-08-04 Masud Mansuripur

We develop a theoretical framework for electron transfer (ET) at graphene defects, treating the surface as a Dirac cone with a localized defect state coupled to a vibrational environment. Using a polaron transformation combined with a…

Chemical Physics · Physics 2025-05-12 Eric R. Bittner

Based on easy-to-follow considerations it is not difficult to be vehemently opposed not only the solutions found in that paper but also the conclusions manifested there.

Quantum Physics · Physics 2009-11-11 Antonio S. de Castro

We demonstrate that criticisms concerning our work nucl-th/9704043, made in the recent preprint hep-ph/9903352, are unfounded. The improvements over our results claimed in hep-ph/9903352 are in fact spurious, being based mainly on…

Nuclear Theory · Physics 2009-10-31 I. B. Khriplovich , R. A. Sen'kov
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