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We define and study distributions in R^{d} that we call q-Normal. For q=1 they are really multidimensional Normal, for q\in(-1,1) they have densities, compact support and many properties that resemble properties of ordinary multidimensional…

Probability · Mathematics 2012-08-13 Paweł J. Szabłowski

The family of skew-symmetric distributions is a wide set of probability density functions obtained by combining in a suitable form a few components which are selectable quite freely provided some simple requirements are satisfied. Intense…

Probability · Mathematics 2010-12-22 Adelchi Azzalini , Giuliana Regoli

The dispersive resonant-state expansion, developed for an accurate calculation of the resonant states in open optical systems with frequency dispersion, is applied here to realistic materials, such as metallic nanoparticles and…

Optics · Physics 2020-01-29 Hame Sehmi , Wolfgang Langbein , Egor Muljarov

Stochastic resonance is a non-linear phenomenon, in which the sensitivity of signal detectors can be enhanced by adding random noise to the detector input. Here, we demonstrate that noise can also improve the information flux in recurrent…

Neurons and Cognition · Quantitative Biology 2018-11-30 Patrick Krauss , Karin Prebeck , Achim Schilling , Claus Metzner

Sinai's model of diffusion in one-dimension with random local bias is studied by a real space renormalization group which yields asymptotically exact long time results. The distribution of the position of a particle and the probability of…

Condensed Matter · Physics 2009-10-30 Daniel Fisher , Pierre Le Doussal , Cecile Monthus

The dispersion relation of longitudinal electrostatic oscillations in a relativistic plasma is studied in the context of the nonextensive statistics formalism proposed by Tsallis [C. Tsallis, J. Stat. Phys. {\bf 52}, 479 (1988)], where…

Plasma Physics · Physics 2007-05-23 Victor Munoz

The aim of this paper is to study the mixture of the Riesz distribution on symmetric matrices with respect to the multivariate Poisson distribution. We show, in particular, that this distribution is related to the modified Bessel function…

Probability · Mathematics 2009-01-13 Abdelhamid Hassairi , Mahdi Louati

We show that grains streaming through a fluid are generically unstable if their velocity, projected along some direction, matches the phase velocity of a fluid wave (linear oscillation). This can occur whenever grains stream faster than any…

Earth and Planetary Astrophysics · Physics 2018-04-11 Jonathan Squire , Philip F. Hopkins

We investigate the appearance of Chern-Simons terms in electrodynamics at the surface/interface of materials. The requirement of locality, gauge invariance and renormalizability in this model is imposed. Scattering and reflection of…

High Energy Physics - Theory · Physics 2015-07-22 D. Yu. Pis'mak , Yu. M. Pis'mak , F. J. Wegner

In this article, we define a matrix multinomial distribution. We prove some properties of the matrix multinomial distribution. We prove that the matrix Poisson distribution can be used as an approximation to the matrix multinomial…

Probability · Mathematics 2021-04-30 Yuriy Yurchenko

Simulations are used to find the zero temperature jamming threshold, $\phi_j$, for soft, bidisperse disks in the presence of small fixed particles, or "pins", arranged in a lattice. The presence of pins leads, as one expects, to a decrease…

Soft Condensed Matter · Physics 2022-10-17 Prairie Wentworth-Nice , Sean A. Ridout , Brian Jenike , Ari Liloia , Amy L. Graves

We have theoretically shown that the yield of diffuse radiation generated by relativistic electrons passing random multilayered systems can be increased when a resonant condition is met. Resonant condition can be satisfied for the…

Accelerator Physics · Physics 2009-11-11 Zh. S. Gevorkian , J. Verhoeven

The intensity statistics of signals in the presence of Gaussian noise is obtained by studying the model of a random signal plus a random phasor sum. The additive Gaussian noise is shown to result in a Bessel transform of the probability…

Disordered Systems and Neural Networks · Physics 2015-05-13 A. A. Chabanov

The structure of baryon resonance in coupled-channel meson-baryon scattering is studied from the viewpoint of chiral dynamics. The meson-baryon scattering amplitude can be successfully described together with the properties of the resonance…

High Energy Physics - Phenomenology · Physics 2010-07-23 Tetsuo Hyodo

Synchrotron radiation detected from relativistic astrophysical objects such as pulsar-wind nebulae and {jets from active galactic nuclei} depends on the magnetic fields and the distribution functions of energetic electrons in these systems.…

Astrophysics of Galaxies · Physics 2026-03-04 Daniel Humphrey , Cristian Vega , Stanislav Boldyrev , Vadim Roytershteyn

The propagation of radio emission in pulsar magnetospheres is discussed. We follow a kinematics model in order to derive dispersion relations for electromagnetic oscillations and transversal waves, propagating in a cold moving plasma. We…

Astrophysics · Physics 2009-11-13 Ericsson D. Lopez

When a resonance lies near the threshold of a heavier channel, an interesting feature can occur. The paradigmatic example employed here is the scalar isoscalar $f_0(980)$ resonance that couples to the lighter $\pi\pi$ and heavier $K\bar{K}$…

High Energy Physics - Phenomenology · Physics 2024-03-04 J. A. Oller

Short range correlated uniform noise in the dispersion coefficient, inherent in many types of optical fibers, broadens and eventually destroys all initially ultra-short pulses. However, under the constraint that the integral of the random…

Chaotic Dynamics · Physics 2009-10-31 M. Chertkov , I. Gabitov , J. Moeser

The persistent current for a one-dimensional ring with two tunnel barriers is considered in the limit of weakly interacting electrons. In addition to a small off-resonance current, there are two kinds of resonant behavior; (i) a current…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 I. V. Krive , P. Sandström

The sigma-meson, which is at best a broad resonance in the vacuum, may suffer a substantial red-shift and appear as a soft and narrow collective mode at finite temperature and baryon densities. The physics behind this softening phenomena…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tetsuo Hatsuda , Teiji Kunihiro