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This tutorial review gives an overview of the transverse Anderson localization of light in one and two transverse dimensions. A pedagogical approach is followed throughout the presentation, where many aspects of localization are illustrated…

Optics · Physics 2015-06-05 Arash Mafi

Comment on "Enhanced transmission through periodic arrays of subwavelength holes: the role of localized waveguide resonances" [Phys.Rev.Lett. 96, 233901 (2006)]

Optics · Physics 2007-06-05 Cheng-ping Huang , Yong-yuan Zhu

Comment an the recent Letter [Phys. Rev. Lett. 86, 2050 (2001)] by F.Wang and D. P. Landau.

Condensed Matter · Physics 2007-05-23 Alfred Hueller , Michel Pleimling

This is a comment on a paper published by V. Dobrosavljevic et al. in Phys. Rev. Lett. 79, 455 (1997).

Superconductivity · Physics 2008-02-03 Fu-Chun Zhang , T. M. Rice

I present briefly some facts about nonequilibrium renormalized perturbation theory, correcting recent misleading statements in [E. Mu\~noz, F. Zamani, L. Merker, T. A. Costi, and S. Kirchner, Journal of Physics: Conf. Series 807, 092001…

Strongly Correlated Electrons · Physics 2017-06-20 A. A. Aligia

Stochastic (Anderson) localization is the spatial localization of the wave-function of quantum particles in random media. We show, that a corresponding phenomenon can stabilize spatial solitons in optical resonators: spatial solitons in…

Statistical Mechanics · Physics 2009-11-07 Kestutis Staliunas

A Comment on the Letter by M. Rupp et al., Phys. Rev. Lett. 108 058301 (2012).

Materials Science · Physics 2012-08-07 Jonathan E. Moussa

Comment on T.S. van Erp, S. Cuesta-Lopez, J.-G. Hagmann, and M. Peyrard, Phys. Rev. Lett. 95, 218104 (2005) [arXiv: physics/0508094].

Biological Physics · Physics 2007-05-23 C. H. Choi , A. Usheva , G. Kalosakas , K. O. Rasmussen , A. R. Bishop

Discussion of "Estimating Random Effects via Adjustment for Density Maximization" by C. Morris and R. Tang [arXiv:1108.3234]

Methodology · Statistics 2011-08-22 P. Lahiri , Santanu Pramanik

Discussion of "Estimating Random Effects via Adjustment for Density Maximization" by C. Morris and R. Tang [arXiv:1108.3234]

Methodology · Statistics 2011-08-22 Claudio Fuentes , George Casella

For the multi-particle Anderson model with correlated random potential in the continuum, we show under fairly general assumptions on the inter-particle interaction and the random external potential, the Anderson localization which consists…

Mathematical Physics · Physics 2017-03-28 Trésor Ekanga

We extend the bootstrap multiscale analysis developed by Germinet and Klein to the multi-particle continuous Anderson Hamiltonian, obtaining Anderson localization with finite multiplicity of eigenvalues, decay of eigenfunction correlations,…

Mathematical Physics · Physics 2014-04-16 Abel Klein , Son Nguyen

The note contains a collection of facts and observations around locally rank one actions as well as constructions connected with some results by T.Downarowicz, A.Katok, J.King, F.Parreau, A.A.Prikhodko, E.Roy, J.Serafin, J-P.Thouvenot et…

Dynamical Systems · Mathematics 2012-06-01 V. V. Ryzhikov

Comment on "Critical states and fractal attractors in fractal tongues: Localization in the Harper map" [Phys. Rev. E64 (2001) 045204]

Disordered Systems and Neural Networks · Physics 2012-04-03 P. Castelo Ferreira

This is a remark on a recent post by P. Denton, S. Parke, T. Tao, X. Zhang, Eigenvectors from eigenvalues, arXiv:1908.03795v1

Rings and Algebras · Mathematics 2019-11-21 Carlos Tomei

Numerical and analytical details are presented on the newly discovered superscaling property of the energy spacing distribution in the three dimensional Anderson model.

Disordered Systems and Neural Networks · Physics 2007-08-22 Janos Pipek , Imre Varga , Etienne Hofstetter

Anderson localization has been a subject of intense studies for many years. In this context, we study numerically the influence of long-range correlated disorder on the localization behavior in one dimensional systems. We investigate the…

Disordered Systems and Neural Networks · Physics 2015-03-19 Alexander Croy , Philipp Cain , Michael Schreiber

This is a comment on "Guiding, Focusing, and Sensing on the Subwavelength Scale Using Metallic Wire Arrays" by G. Shvets, S. Trendafilov, J. B. Pendry and A. Sarychev published in Phys. Rev. Lett. 99, 053903 (2007), which demonstrates that…

We study multi-particle interactive quantum disordered systems on a polynomially-growing countable connected graph (Z,E). The novelty is to give localization bounds uniform in finite or infinite volumes (subgraphs) in Z^N as well as for the…

Mathematical Physics · Physics 2014-04-16 Victor Chulaevsky , Yuri Suhov

We correct an inaccuracy in a previous article [Auscher, Pascal; Bernicot, Fr\'ed\'eric; Zhao, Jiman. Maximal regularity and Hardy spaces. Collect. Math. 59 (2008), no. 1, 103-127.]

Classical Analysis and ODEs · Mathematics 2008-10-29 Pascal Auscher , Frédéric Bernicot , Jiman Zhao