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This paper investigates point-to-point information transmission over a wideband slow-fading channel, modeled as an (asymptotically) large number of independent identically distributed parallel channels, with the random channel fading…

Information Theory · Computer Science 2007-10-02 Wenyi Zhang , Urbashi Mitra

We consider a diffusion on a bounded domain, assuming that the system is irreducible inside the domain and that the diffusion has varying degree of degeneracy on the domain's boundary. The long-term statistical properties of typical…

Probability · Mathematics 2025-08-29 Yuri Bakhtin , Renaud Raquépas , Lai-Sang Young

We define a complete sample of thirty-three GHz-Peaked-Spectrum (GPS) radio sources based on their spectral properties. We present measurements of the radio spectra and polarization of the complete sample and a list of additional GPS…

Astrophysics · Physics 2016-08-30 C. Stanghellini , C. P. O'Dea , D. Dallacasa , S. A. Baum , R. Fanti , C. Fanti

This paper will deal with isolated laser pulses, those which last for a finite time interval and whose envelope function is strictly zero outside of this interval. We numerically calculate the Fourier transform of this function and study…

Quantum Physics · Physics 2025-11-14 L. H. Ford , Brian Fu

Change-point detection methods are proposed for the case of temporary failures, or transient changes, when an unexpected disorder is ultimately followed by a readjustment and return to the initial state. A base distribution of the…

Statistics Theory · Mathematics 2021-12-14 Baron Michael , Malov Sergey

We review estimates of small scale fluctuations due to extragalactic point sources in the Planck Surveyor frequency bands. While our undestanding of the spectral and evolutionary properties of these sources is far from complete,…

Astrophysics · Physics 2007-05-23 G. De Zotti , L. Toffolatti , G. L. Granato

We provide a complete and exact quantum description of coherent light scattering in a one-dimensional multi-mode transmission line coupled to a two-level emitter. Using recently developed scattering approach we discuss transmission…

Quantum Physics · Physics 2015-07-07 Mikhail Pletyukhov , Vladimir Gritsev

The active cloak comprises a discrete set of multipole sources that destructively interfere with an incident time harmonic scalar wave to produce zero total field over a finite spatial region. For a given number of sources and their…

Mathematical Physics · Physics 2012-09-12 Andrew N. Norris , Feruza A. Amirkulova , William J. Parnell

The decision whether a measured distribution complies with an equidistribution is a central element of many biostatistical methods. High throughput differential expression measurements, for instance, necessitate to judge possible…

Disordered Systems and Neural Networks · Physics 2007-05-23 Thorsten Poeschel , Jan A. Freund

A short sample sequence of a finite-length pulse signal allows for its reconstruction only if the signal has a sparse representation in some basis. The recurrence of the pulse allows for a statistical approach to its reconstruction. We…

Signal Processing · Electrical Eng. & Systems 2023-08-15 Marek W. Rupniewski

We present an alternative estimate of the unresolved point source contribution to the WMAP temperature power spectrum based on current knowledge of sources from radio surveys in the 1.4-90 GHz range. We implement a stochastic extrapolation…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Loris P. L. Colombo , Elena Pierpaoli

We theoretically describe the quasi one-dimensional transverse spreading of a light pulse propagating in a nonlinear optical material in the presence of a uniform background light intensity. For short propagation distances the pulse can be…

Pattern Formation and Solitons · Physics 2019-07-30 M. Isoard , A. M. Kamchatnov , N. Pavloff

The problem of extrapolating asymptotic perturbation-theory expansions in powers of a small variable to large values of the variable tending to infinity is investigated. The analysis is based on self-similar approximation theory. Several…

Mathematical Physics · Physics 2014-09-08 S. Gluzman , V. I. Yukalov

Complete spectroscopy (measurements of a complete sequence of consecutive levels) is often considered as a prerequisite to extract fluctuation properties of spectra. It is shown how this goal can be achieved even if only a fraction of…

Nuclear Theory · Physics 2009-11-10 O. Bohigas , M. P. Pato

We develop an interpolation-based framework for noisy linear systems with unknown system matrix with bounded norm (implying bounded growth or non-increasing energy), and bounded process noise energy. The proposed approach characterizes all…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Martina Vanelli , Nima Monshizadeh , Julien M. Hendrickx

The statistics and machine learning communities have recently seen a growing interest in classification-based approaches to two-sample testing. The outcome of a classification-based two-sample test remains a rejection decision, which is not…

Statistics Theory · Mathematics 2022-11-15 Loris Michel , Jeffrey Näf , Nicolai Meinshausen

Ultrashort, low-emittance electron pulses can be created at a high repetition rate by using a TM$_{110}$ deflection cavity to sweep a continuous beam across an aperture. These pulses can be used for time-resolved electron microscopy with…

Applied Physics · Physics 2018-04-24 W. Verhoeven , J. F. M. van Rens , E. R. Kieft , P. H. A. Mutsaers , O. J. Luiten

This paper considers the relative frequencies of distinct types of individuals in multitype branching processes. We prove that the frequencies are asymptotically multivariate normal when the initial number of ancestors is large and the time…

Probability · Mathematics 2009-03-02 Andrei Y. Yakovlev , Nikolay M. Yanev

We present the winning strategy for the EVA2025 Data Challenge, which aimed to estimate the probability of extreme precipitation events. These events occurred at most once in the dataset making the challenge fundamentally one of…

Methodology · Statistics 2026-05-29 Joseph de Vilmarest , Olivier Wintenberger

This paper investigates point-to-point information transmission over a wideband slow-fading channel, modeled as an (asymptotically) large number of independent identically distributed parallel channels, with the random channel fading…

Information Theory · Computer Science 2007-11-29 Wenyi Zhang , Urbashi Mitra
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