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We obtain large deviations estimates for the self-intersection local times for a symmetric random walk in dimension 3. Also, we show that the main contribution to making the self-intersection large, in a time period of length $n$, comes…

Probability · Mathematics 2007-05-23 Amine Asselah

We consider the effect of noise on the dynamics generated by volume-preserving maps on a d-dimensional torus. The quantity we use to measure the irreversibility of the dynamics is the dissipation time. We focus on the asymptotic behaviour…

Dynamical Systems · Mathematics 2009-11-10 A. Fannjiang , S. Nonnenmacher , L. Wolowski

We present a new method of measuring the mass density along the line of sight, based on precise measurements of the variations of the times of arrival (TOA's) of electromagnetic signals propagating between two distant regions of spacetime.…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Mikołaj Korzyński , Jan Miśkiewicz , Julius Serbenta

An exact and general expression for the analytic wavelet transform of a real-valued signal is constructed, resolving the time-dependent effects of non-negligible amplitude and frequency modulation. The analytic signal is first locally…

Statistics Theory · Mathematics 2011-10-18 Jonathan M. Lilly , Sofia C. Olhede

Wettability is a pore-scale property that impacts the relative movement and distribution of fluids in a porous medium. There are reservoir fluids that provoke the surface within pores to undergo a wettability change. This wettability…

Geophysics · Physics 2020-08-18 Abay M. Kassa , Sarah E. Gasda , K. Kumar , F. A. Radu

The study of wave propagation and scattering in time-dependent materials is a rapidly growing field of research. Whereas for 1D applications there is a simple relation between the wave equations for space-dependent and time-dependent…

Applied Physics · Physics 2025-02-07 Kees Wapenaar

Time-distance helioseismology has shown that f-mode travel times contain information about horizontal flows in the Sun. The purpose of this study is to provide a simple interpretation of these travel times. We study the interaction of…

Astrophysics · Physics 2009-06-25 J. Jackiewicz , L. Gizon , A. C. Birch , T. L. Duvall

The classical Fourier analysis of a time signal, in the discrete sense, provides the frequency content of signal under the assumption of periodicity. Although the original signal can be exactly recovered using an inverse transform, the time…

Fluid Dynamics · Physics 2026-01-06 Vilas J. Shinde

We present new experimental results on the development of turbulent spots in channel flow. The internal structure of a turbulent spot is measured, with Time Resolved Stereoscopic Particle Image Velocimetry. We report the observation of…

Fluid Dynamics · Physics 2013-11-20 Grégoire Lemoult , Konrad Gumowski , Jean-Luc Aider , José Eduardo Wesfreid

The main subject of the work is experimental investigation of local-time effect existence on laboratory scale, which means longitudinal distances between locations of measurements from tens to one meter. Also short revue of our…

General Physics · Physics 2007-05-23 V. A. Panchelyuga , V. A. Kolombet , M. S. Panchelyuga , S. E. Shnoll

We study the effect of localisation on the propagation of a pulse through a multi-mode disordered waveguide. The correlator <u(omega1)u*(omega2)> of the transmitted wave amplitude u at two frequencies differing by delta_omega has for large…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. W. J. Beenakker , K. J. H. van Bemmel , P. W. Brouwer

In this paper we study the dynamics of metamaterials composed of high-contrast subwavelength resonators and show the existence of localised modes in such a setting. A crucial assumption in this paper is time-modulated material parameters.…

Analysis of PDEs · Mathematics 2025-01-13 Habib Ammari , Erik Orvehed Hiltunen , Liora Rueff

We present scattering from many body systems in a new light. In place of the usual van Hove treatment, (applicable to a wide range of scattering processes using both photons and massive particles) based on plane waves, we calculate the…

Optics · Physics 2009-10-30 R. Gaehler , J. Felber , F. Mezei , R. Golub

Negative refraction is a peculiar wave propagation phenomenon that occurs when a wave crosses a boundary between a regular medium and a medium with both constitutive parameters negative at the given frequency. The phase and group velocities…

Optics · Physics 2022-09-23 Or Lasri , Lea Sirota

In this study, an improved second-order difference plot is proposed to analyze the variability of heart rate variability. Although the variation of physiological status of cardiovascular system can be shown graphically by the second-order…

Systems and Control · Electrical Eng. & Systems 2022-12-19 Chen Diao , Ning Cai

This paper deals with the numerical modeling of wave propagation in porous media described by Biot's theory. The viscous efforts between the fluid and the elastic skeleton are assumed to be a linear function of the relative velocity, which…

Fluid Dynamics · Physics 2015-05-20 Guillaume Chiavassa , Bruno Lombard

We revisit the problem of inelastic times governing the temperature behavior of the weak localization correction and mesoscopic fluctuations in one- and two-dimensional systems. It is shown that, for dephasing by the electron electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. L. Aleiner , Ya. M. Blanter

We discuss the far-field spatio-temporal cross-correlations of waves multiple-scattered in a turbid medium in which is embedded a hidden heterogeneous region (inclusion) characterized by a distinct scatterer dynamics (as compared to the…

Soft Condensed Matter · Physics 2007-05-23 S. E. Skipetrov

We consider a one-dimensional diffusion whose drift contains a deterministic periodic signal with unknown periodicity $T$ and carrying some unknown $d$-dimensional shape parameter $\theta$. We prove Local Asymptotic Normality (LAN) jointly…

Statistics Theory · Mathematics 2017-01-17 Simon Holbach

Time-reflection occurs when a wave is propagating in a medium undergoing a large and abrupt change in its properties: the original wave splits into a time-refracted wave and a time-reflected wave, each displaying different features. The…