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Results on soft and hard diffraction are briefly reviewed with emphasis on the interplay among factorization properties, universality of rapidity gap formation and unitarity.

High Energy Physics - Phenomenology · Physics 2014-11-17 Konstantin Goulianos

This note surveys some classical results and recent developments on the interplay between lower curvature bounds and the isoperimetric problem. It is based on mini-courses given at the European Doctorate School of Differential Geometry…

Differential Geometry · Mathematics 2025-09-24 Gioacchino Antonelli

This comment regards a recently published preprint by R.Babbush, J.A.Parkhill, and A.Aspuru-Guzik, arXiv:1306.4332.

Statistical Mechanics · Physics 2015-05-13 Ruggero Vaia

In this article, we provide a boundary reconstruction result for the anisotropic fractional Calder\'on problem and its associated degenerate elliptic extension into the upper half plane. More precisely, considering the setting from…

Analysis of PDEs · Mathematics 2025-02-19 Xiaopeng Cheng , Angkana Rüland

Comments on the article "Pulsar dynamics: magnetic dipole model revisited".

Astrophysics · Physics 2007-05-23 D. P. Barsukov , E. M. Kantor , A. I. Tsygan

A comment on the Letter by Le Doussal and Wiese, Phys. Rev. Lett. 96, 197202 (2006).

Disordered Systems and Neural Networks · Physics 2009-11-11 Yoshinori Sakamoto , Hisamitsu Mukaida , Chigak Itoi

A simple method is shown to provide optimal variational bounds on $f$-divergences with possible constraints on relative information extremums. Known results are refined or proved to be optimal as particular cases.

Information Theory · Computer Science 2019-02-05 Olivier Binette

In this paper, we mainly introduce a general method to study the existence and uniqueness of solution of free boundary problems with partially degenerate diffusion.

Analysis of PDEs · Mathematics 2019-11-21 Siyu Liu , Mingxin Wang

These notes record and expand the lectures for the `Journ\'ees \'Equations aux D\'eriv\'ees Partielles 2018' held by the author during the week of June 11-15, 2018. The aim is to give a overview of the classical theory for the obstacle…

Analysis of PDEs · Mathematics 2018-07-04 Alessio Figalli

Discussion on "Brownian distance covariance" by G\'{a}bor J. Sz\'{e}kely, Maria L. Rizzo [arXiv:1010.0297]

Applications · Statistics 2010-10-06 Andrey Feuerverger

Discussion on "Brownian distance covariance" by G\'{a}bor J. Sz\'{e}kely, Maria L. Rizzo [arXiv:1010.0297]

Applications · Statistics 2010-10-06 Leslie Cope

In a previous article we suggested a method to overcome the diffraction limit behind a telescope. We refer to theory and recent numerical simulations, and test whether it is indeed possible to use photon amplification to enhance the angular…

Instrumentation and Methods for Astrophysics · Physics 2016-08-24 Aglae N. Kellerer , Erez N. Ribak

This is a reply to the comment by Gilbert and Sanders [arXiv:1111.6271 (2011)]. We point out that their comment is a follow-up of a previous discussion which we briefly summarize before we refute their new criticism.

Mathematical Physics · Physics 2011-12-20 Rainer Klages , Georgie Knight

We close a gap appearing at the same time in the author's thesis "Iterated rings of bounded elements and generalizations of Schm\"udgen's theorem" [1] and in the author's article "Iterated rings of bounded elements and generalizations of…

Commutative Algebra · Mathematics 2007-05-23 Markus Schweighofer

Comment on recent paper by I. Horv\'ath and P. Marko\v{s}, "Super-universality in Anderson localization", Phys. Rev. Lett. 129, 106601 (2022) [arXiv:2110.11266].

Disordered Systems and Neural Networks · Physics 2023-09-27 I. S. Burmistrov

I discuss and connect a number of topics in small-x physics at HERA and at LHC, pointing out recent progress and open questions in theory and phenomenology.

High Energy Physics - Phenomenology · Physics 2008-08-08 Markus Diehl

Comment on A.F. Abouraddy, P.R. Stone, A.V. Sergienko, B.E.A. Saleh, and M.C. Teich, ``Entangled-Photon Imaging of a Pure Phase Object,'' Phys. Rev. Lett. 93, 213903 (2004). Unpublished (rejected by Physical Review Letters), but for a…

Quantum Physics · Physics 2007-05-23 M. Bache , A. Gatti , E. Brambilla , D. Magatti , F. Ferri , L. A. Lugiato

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

This paper presents a summary of the theoretical presentations to the international workshop "Diffraction 2006". The range of topics covered during the workshop was quite broad and this summary is therefore somewhat selective covering…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jeffrey R. Forshaw

This is a report for the 2003 Forges Les Eaux PDE conference on recent results with A. Hassell on quantum ergodicity of boundary traces of eigenfunctions on domains with ergodic billiards, and of work in progress with Hassell and Sogge on…

Analysis of PDEs · Mathematics 2007-05-23 Steve Zelditch
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