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We introduce a novel framework for the analysis of linear wave equations on nonstationary asymptotically flat spacetimes, under the assumptions of mode stability and absence of zero energy resonances for a stationary model operator. Our…

Analysis of PDEs · Mathematics 2023-03-01 Peter Hintz

We are interested in quasi-stationarity and quasi-ergodicity when the absorbing boundary is moving. First we show that, in the moving boundary case, the quasi-stationary distribution and the quasi-limiting distribution are not well-defined…

Probability · Mathematics 2019-11-25 William Oçafrain

This paper considers a sequential estimation and sensor scheduling problem in the presence of multiple communication channels. As opposed to the classical remote estimation problem that involves one perfect (noiseless) channel and one…

Information Theory · Computer Science 2015-10-02 Xiaobin Gao , Emrah Akyol , Tamer Basar

Accurate channel state information (CSI) is required for coherent detection in time-variant multiple-input multipleoutput (MIMO) communication systems using orthogonal frequency division multiplexing (OFDM) modulation. One of low-complexity…

Information Theory · Computer Science 2013-02-07 Guan Gui , Wei Peng , Fumiyuki Adachi

It has been well known for some time that for strictly stationary Markov chains that are ``reversible'', that special symmetry provides special extra features in the mathematical theory. This paper here is primarily a purely expository…

Probability · Mathematics 2019-10-04 Richard C. Bradley

Unmanned aerial vehicles (UAVs) have gained popularity in the communications research community because of their versatility in placement and potential to extend the functions of communication networks. However, there remains still a gap in…

Networking and Internet Architecture · Computer Science 2023-12-12 Achiel Colpaert , Zhuangzhuang Cui , Evgenii Vinogradov , Sofie Pollin

An S matrix approach is developed to describe elastic scattering resonances of systems where the scattered particle is asymptotically confined and the scattering potential lacks continuous symmetry. Examples are conductance resonances in…

Condensed Matter · Physics 2009-10-22 J. U. Noeckel , A. D. Stone

Using methods of stochastic dynamics, we have studied stationary states in the underdamped anharmonic stochastic oscillators driven by Cauchy noise. Shape of stationary states depend both on the potential type and the damping. If the…

Statistical Mechanics · Physics 2019-09-27 Karol Capała , Bartłomiej Dybiec

The hierarchy of channel networks in landscapes displays features that are characteristic of non-equilibrium complex systems. Here we show that a sequence of increasingly complex ridge and valley networks is produced by a system of partial…

Geophysics · Physics 2019-05-09 Sara Bonetti , Milad Hooshyar , Carlo Camporeale , Amilcare Porporato

New algorithms for construction of asymptotic expansions for stationary distributions of nonlinearly perturbed semi-Markov processes with finite phase spaces are presented. These algorithms are based on a special technique of sequential…

Probability · Mathematics 2016-03-16 Dmitrii Silvestrov , Sergei Silvestrov

We show by means of a perturbative weakly nonlinear analysis that the axisymmetric magnetorotational instability (MRI) of a viscous, resistive, incompressible rotating shear flow in a thin channel gives rise to a real Ginzburg-Landau…

Astrophysics · Physics 2008-11-26 O. M. Umurhan , K. Menou , O. Regev

We investigate whether certain non-classical communication channels can be simulated by a classical channel with a given number of states and a given `amount' of noise. It is proved that any noisy quantum channel can be simulated by a…

Information Theory · Computer Science 2022-06-29 Péter E. Frenkel

While studying gradient dynamical systems (DSs), Morse introduced the idea of encoding the qualitative behavior of a DS into a graph. Smale later refined Morse's idea and extended it to Axiom-A diffeomorphisms on manifolds. In Smale's…

Dynamical Systems · Mathematics 2025-02-25 Roberto De Leo , James A. Yorke

Shallow seawaters are problematic for acoustic and optical communications. Sensor networks based on electromagnetic (EM) communications are evaluated in this environment. In order to characterize the subaquatic channel, several measurement…

This work presents a proof of concept, that mobile communication channels can be kept static by the partner antenna to which the channel is formed. The partner antenna simultaneously moves along the same trajectory with the first antenna…

Signal Processing · Electrical Eng. & Systems 2020-05-05 Gerald Artner

Acoustic streaming is the net time-averaged flow that results from the nonlinearities in an oscillating flow. Extensive research has sought to identify different physical mechanisms and types of acoustic streaming in systems of various…

Fluid Dynamics · Physics 2020-05-04 Kyle Pietrzyk , Ilenia Battiato

Linear stability of stratified two-phase flows in horizontal channels to arbitrary wavenumber disturbances is studied. The problem is reduced to Orr-Sommerfeld equations for the stream function disturbances, defined in each sublayer and…

Fluid Dynamics · Physics 2016-05-04 Ilya Barmak , Alexander Gelfgat , Helena Vitoshkin , Amos Ullmann , Neima Brauner

Transmission eigenchannels and quasi-normal modes are powerful bases for describing wave transport and controlling transmission and energy storage in disordered media. Here we elucidate the connection between these approaches by expressing…

Disordered Systems and Neural Networks · Physics 2014-06-17 Zhou Shi , Azriel Genack

We study one-mode Gaussian quantum channels in continuous-variable systems by performing a black-box characterization using complete positivity and trace preserving conditions, and report the existence of two subsets that do not have a…

Quantum Physics · Physics 2020-10-23 David Davalos , Camilo Moreno , Juan-Diego Urbina , Carlos Pineda

Stochastic resonance holds much promise for the detection of weak signals in the presence of relatively loud noise. Following the discovery of nondynamical and of aperiodic stochastic resonance, it was recently shown that the phenomenon can…

Condensed Matter · Physics 2009-10-31 Redouane Fakir