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Angular momentum ceases to be the preferred basis for identifying dynamical localization in an oval billiard at large excentricity. We give reasons for this, and comment on the classical phase-space structure that is encoded in the wave…

Chaotic Dynamics · Physics 2009-11-07 Jens U. Nockel

We present microwave experiments on the symmetry reduced 5-disk billiard studying the transition from a closed to an open system. The measured microwave reflection signal is analyzed by means of the harmonic inversion and the counting…

Mesoscale and Nanoscale Physics · Physics 2012-12-07 A. Potzuweit , T. Weich , S. Barkhofen , U. Kuhl , H. -J. Stoeckmann , M. Zworski

The present study illuminates the relation between null cusped Wilson loops and their corresponding amplitudes. We find that, compared to the case with no self-crossing, the one loop expectation value of a self-intersecting Wilson loop…

High Energy Physics - Theory · Physics 2015-09-22 George Georgiou

Rational polygonal billiards are one of the key models among the larger class of pseudo-integrable billiards. Their billiard flow may be lifted to the geodesic flow on a translation surface. Whereas such classical billiards have been much…

Mathematical Physics · Physics 2018-12-21 Omer Friedland , Henrik Ueberschaer

On four-dimensional closed manifolds we introduce a class of canonical Riemannian metrics, that we call weak harmonic Weyl metrics, defined as critical points in the conformal class of a quadratic functional involving the norm of the…

Differential Geometry · Mathematics 2018-10-17 Giovanni Catino , Paolo Mastrolia , Dario D. Monticelli , Fabio Punzo

Controlling the swimming behavior of bacteria is crucial, for example, to prevent contamination of ducts and catheters. We show the bacteria modeled by deformable microswimmers can accumulate in flows through straight microchannels either…

Soft Condensed Matter · Physics 2022-03-03 Winfried Schmidt , Igor S. Aranson , Walter Zimmermann

We propose a method that identifies a mode of Rayleigh waves and separates it from body waves and from other modes, using quaternions to represent multi-component data. Being well known the abilities of quaternions to handle rotations in…

Geophysics · Physics 2018-04-06 Angelo Sajeva , Giovanni Menanno

We prove that there exists a residual set of (non-rational) polygons such the billiard flow is weakly mixing with respect to the Liouville measure (on the unit tangent bundle to the billiard). This follows, via a Baire category argument,…

Dynamical Systems · Mathematics 2025-08-18 Jon Chaika , Giovanni Forni

It is challenging for full-waveform inversion to determine geologically informative models from field data. An inaccurate wavelet can make it more complicated. We develop a novel misfit function, entitled deconvolutional double-difference…

Geophysics · Physics 2022-01-12 Fuqiang Chen , Daniel Peter

The inflation of an inner radial (or spherical) cavity in an amorphous solids confined in a disk (or a sphere), served as a fruitful case model for studying the effects of plastic deformations on the mechanical response. It was shown that…

Disordered Systems and Neural Networks · Physics 2024-07-29 Yang Fu , H. George E. Hentschel , Pawandeep Kaur , Avanish Kumar , Itamar Procaccia

We introduce the mode connectivity as a measure of the number of eigenmodes of a wave equation connecting two points at a given frequency. Based on numerical simulations of scattering of electromagnetic waves in disordered media, we show…

Optics · Physics 2019-01-30 Antoine Canaguier-Durand , Romain Pierrat , Rémi Carminati

In the near future, the Jefferson Lab $b_1$ experiment will provide the second measurement of tensor polarized asymmetries in inclusive DIS on the deuteron. In this asymmetry, 4 independent tensor polarized structure functions contribute.…

High Energy Physics - Phenomenology · Physics 2026-02-23 Wim Cosyn , Brandon Roldan Tomei , Alan Sosa , Allison Zec

We study the ensemble-averaged conductance as a function of applied magnetic field for ballistic electron transport across few-channel microstructures constructed in the shape of classically chaotic billiards. We analyse the results of…

Condensed Matter · Physics 2015-06-25 Z. Pluhar , H. A. Weidenmueller , J. A. Zuk , C. H. Lewenkopf

We test the usefulness of a generalized inverse participation ratio (GIPR) as a measure of Anderson localization. The GIPR differs from the usual inverse participation ratio in that it depends on the local density of states rather than on…

Disordered Systems and Neural Networks · Physics 2015-05-20 N. C. Murphy , R. Wortis , W. A. Atkinson

The spectral properties of a two-dimensional microwave billiard showing threefold symmetry have been studied with a new experimental technique. This method is based on the behavior of the eigenmodes under variation of a phase shift between…

Chaotic Dynamics · Physics 2009-11-07 C. Dembowski , B. Dietz , H. -D. Graef , A. Heine , F. Leyvraz , M. Miski-Oglu , A. Richter , T. H. Seligman

We consider reflector imaging in a weakly random waveguide. We address the situation in which the source is farther from the reflector to be imaged than the energy equipartition distance, but the receiver array is closer to the reflector to…

Analysis of PDEs · Mathematics 2013-04-17 Habib Ammari , Josselin Garnier , Wenjia Jing

We address characterization of lossy and dephasing channels in the presence of self-Kerr interaction using coherent probes. In particular, we investigate the ultimate bounds to precision in the joint estimation of loss and nonlinearity and…

Quantum Physics · Physics 2024-09-11 Michele N. Notarnicola , Stefano Olivares , Matteo G. A. Paris

Reliable localization is critical for robot navigation in complex indoor environments. In this paper, we propose an uncertainty-aware localization method that enhances the reliability of localization outputs without modifying the prediction…

Robotics · Computer Science 2025-04-23 Hye-Min Won , Jieun Lee , Jiyong Oh

Human motion in the vicinity of a wireless link causes variations in the link received signal strength (RSS). Device-free localization (DFL) systems, such as variance-based radio tomographic imaging (VRTI), use these RSS variations in a…

Networking and Internet Architecture · Computer Science 2011-10-10 Yang Zhao , Neal Patwari

We report on the critical properties of minimaly-polydisperse crystals, hexagonal in 2d and face-centered cubic in 3 dimensions, at the isostatic jamming point. The force and gap distributions display power-law tails for small values. The…

Soft Condensed Matter · Physics 2021-10-27 Georgios Tsekenis
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