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Reconstructing a density of states or similar distribution from moments or continued fractions is an important problem in calculating the electronic and vibrational structure of defective or non-crystalline solids. For single bands a…

Strongly Correlated Electrons · Physics 2015-05-20 Roger Haydock , C. M. M. Nex

The inwards scattering of planetesimals towards white dwarfs is expected to be a stochastic process with variability on human time-scales. The planetesimals tidally disrupt at the Roche radius, producing dusty debris detectable as excess…

Earth and Planetary Astrophysics · Physics 2020-04-15 Laura K. Rogers , Siyi Xu , Amy Bonsor , Simon Hodgkin , Kate Y. L. Su , Ted von Hippel , Michael Jura

The zeros of the spectrogram have proven to be a relevant feature to describe the time-frequency structure of a signal, originated by the destructive interference between components in the time-frequency plane. In this work, a…

Signal Processing · Electrical Eng. & Systems 2022-10-12 Juan M. Miramont , François Auger , Marcelo A. Colominas , Nils Laurent , Sylvain Meignen

We present the most complete scattering theory for noise in noninteracting case. The exact formula for spectral density of current fluctuations at finite frequency is presented in terms of scattering matrix for a coherent quantum conductor.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. B. Lesovik

The sample paths of white noise are proved to be elements of certain Besov spaces with dominating mixed smoothness. Unlike in isotropic spaces, here the regularity does not get worse with increasing space dimension. Consequently, white…

Probability · Mathematics 2020-05-25 Felix Hummel

Noise is often used in the study of open systems, such as in classical Brownian motion and in Quantum Dynamics, to model the influence of the environment. However generalising results from G\"{o}del and Chaitin in mathematics suggests that…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Reginald T. Cahill , Christopher M. Klinger

We measure the power spectral density of frequency fluctuations in nanocontact spin torque oscillators over time scales up to 50 ms. We use a mixer to convert oscillator signals ranging from 10 GHz to 40 GHz into a band near 70 MHz before…

Other Condensed Matter · Physics 2015-05-19 Mark W. Keller , M. R. Pufall , W. H. Rippard , T. J. Silva

Noise measurement is a powerful tool to investigate many phenomena from laser characterization to quantum behavior of light. In this paper, we report on intensity noise measurements obtained when a laser beam is transmitted through a large…

Some systems cannot be predicted by classical theories and it is required the development of combined deterministic and stochastic theories that make used of noise for dynamical prediction. Noise is not always an interfering signal which…

Adaptation and Self-Organizing Systems · Physics 2019-05-14 Alexandra Pinto Castellanos

A qubit subjected to pure dephasing due to classical Gaussian noise can be turned into a spectrometer of this noise by utilizing its readout under properly chosen dynamical decoupling (DD) sequences to reconstruct the power spectral density…

Mesoscale and Nanoscale Physics · Physics 2017-07-25 Piotr Szańkowski , Guy Ramon , Jan Krzywda , Damian Kwiatkowski , Łukasz Cywiński

Archival data from the WISE satellite reveals infrared flux variations of tens of per cent around numerous dusty white dwarfs. Data spanning more than seven years reveal more than half of known systems are varying in the 3.4 micron band,…

Solar and Stellar Astrophysics · Physics 2019-02-13 Andrew Swan , Jay Farihi , Thomas G. Wilson

It is now a known fact that if we happen to be living in the middle of a large underdense region, then we will observe an "apparent acceleration", even when any form of dark energy is absent. In this paper, we present a "Minimal Void"…

Astrophysics · Physics 2009-09-24 Stephon Alexander , Tirthabir Biswas , Alessio Notari , Deepak Vaid

We consider classical steady water waves with a free surface, a flat bottom and constant vorticity $\gamma$. In the adverse case $\gamma>0$ we prove that there is an absolute upper bound on the amplitude, independent of the physical…

Analysis of PDEs · Mathematics 2024-05-13 Susanna V. Haziot , Walter A. Strauss

The inherent connection between noise and disturbance is one of the most fundamental features of quantum measurements. In the two well-known extreme cases a measurement either makes no disturbance but then has to be totally noisy or is as…

Quantum Physics · Physics 2014-01-08 Teiko Heinosaari , Takayuki Miyadera

The property that a one to one function from the natural numbers to itself preserves the density of sub-sets is shown to be equivalent to a condition on the covering of intervals in the range of the function by images of intervals in the…

General Mathematics · Mathematics 2007-05-23 Paul J. Huizinga

Random noise plays a beneficial role in cognitive processing and produces measurable improvement in simulations and biological agents' task performance. Stochastic facilitation, the phenomenon of additive noise improving signal transmission…

Neurons and Cognition · Quantitative Biology 2018-06-12 J. Andrew Doyle , Alan C. Evans

The local, uncorrelated multiplicative noises driving a second-order, purely noise-induced, ordering phase transition (NIPT) were assumed to be Gaussian and white in the model of [Phys. Rev. Lett. \textbf{73}, 3395 (1994)]. The potential…

Statistical Mechanics · Physics 2016-08-14 Roberto R. Deza , Horacio S. Wio , Miguel A. Fuentes

Waves can be used to probe and image an unknown medium. Passive imaging uses ambient noise sources to illuminate the medium. This paper considers passive imaging with moving sensors. The motivation is to generate large synthetic apertures,…

Classical Physics · Physics 2017-02-15 Mathias Fink , Josselin Garnier

An effective white-noise Langevin equation is derived that describes long-time phase dynamics of a limit-cycle oscillator subjected to weak stationary colored noise. Effective drift and diffusion coefficients are given in terms of the phase…

Chaotic Dynamics · Physics 2015-02-19 Hiroya Nakao , Jun-nosuke Teramae , Denis S. Goldobin , Yoshiki Kuramoto

The problem of separation of an observed sum of chaotic signals into the individual components in the presence of noise on the path to the observer is considered. A noise threshold is found above which high-quality separation is impossible.…

Chaotic Dynamics · Physics 2009-11-07 Yuri V. Andreyev , Alexander S. Dmitriev , Elena V. Efremova
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