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Sequences with good randomness properties are quite important for stream ciphers. In this paper, a new class of quaternary sequences is constructed by using generalized cyclotomic classes of $\mathbb{Z}_{2p^m}$ $(m\geq1)$. The exact values…

Information Theory · Computer Science 2023-09-11 Qiuyan Wang , Weigang Kong , Yang Yan , Chenhuang Wu , Minghui Yang

We investigate the eigenvalue statistics of random Bernoulli matrices, where the matrix elements are chosen independently from a binary set with equal probability. This is achieved by initiating a discrete random walk process over the space…

Mathematical Physics · Physics 2015-01-21 Christopher H. Joyner , Uzy Smilansky

We present a simple stochastic algorithm for generating multiplicative processes with multiscaling both in space and in time. With this algorithm we are able to reproduce a synthetic signal with the same space and time correlation as the…

Chaotic Dynamics · Physics 2007-05-23 Roberto Benzi , Luca Biferale , Federico Toschi

One form of big data are signals - time series of consecutive values. In physical experiments, billions of values can now be measured within a second. Signals of heart and brain in intensive care, as well as seismic waves, are measured with…

Methodology · Statistics 2014-12-24 Christoph Bandt

This work introduces a decoding strategy for binary self-dual codes possessing an automorphism of a specific type. The proposed algorithm is a hard decision iterative decoding scheme. The enclosed experiments show that the new decoding…

Information Theory · Computer Science 2021-06-22 Radinka Yorgova

Compact binary systems with total masses between tens and hundreds of solar masses will produce gravitational waves during their merger phase that are detectable by second-generation ground-based gravitational-wave detectors. In order to…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Kipp Cannon , Chad Hanna , Drew Keppel

We demonstrate experimentally a new technique to control the bandwidth and the type of frequency correlations (correlation, anticorrelation, and even uncorrelation) of entangled photons generated by spontaneous parametric downconversion.…

Quantum Physics · Physics 2009-11-13 M. Hendrych , M. Micuda , J. P. Torres

We propose a new method to generate a sequence of random numbers with long-range power-law correlations that overcomes known difficulties associated with large systems. The new method presents an improvement on the commonly-used methods. We…

Condensed Matter · Physics 2009-10-28 Hernán A. Makse , Shlomo Havlin , Moshe Schwartz , H. Eugene Stanley

Rotating axisymmetric objects amplify incoming waves by superradiant scattering. When enclosed in a cavity, the repeated interaction of a confined field with the object may trigger superradiant instabilities. Rotating binaries are…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Diogo C. Ribeiro , Miguel Zilhão , Vitor Cardoso

We give an algorithm to determine if the dynamical system generated by a positive automorphism of the free group can also be generated by a self-induced interval exchange transformation. The algorithm effectively yields the interval…

Dynamical Systems · Mathematics 2019-04-04 Yann Jullian

A school of thought contends that human decision making exhibits quantum-like logic. While it is not known whether the brain may indeed be driven by actual quantum mechanisms, some researchers suggest that the decision logic is…

Quantum Physics · Physics 2020-04-10 Alex Bocharov , Michael Freedman , Eshan Kemp , Martin Roetteler , Krysta M. Svore

By associating a binary signal with the relativistic worldline of a particle, a binary form of the phase of non-relativistic wavefunctions is naturally produced by time dilation. An analog of superposition also appears as a Lorentz…

Quantum Physics · Physics 2017-09-08 G. N. Ord

We present an implementation of a new method for explicit simulations of time-dependent electric currents through nanojunctions. The method is based on unitary propagation of stroboscopic wave packet states and is designed to treat open…

Materials Science · Physics 2014-05-06 M. Konôpka , P. Bokes

We present a random number generation scheme that uses broadband measurements of the vacuum field contained in the radio-frequency sidebands of a single-mode laser. Even though the measurements may contain technical noise, we show that…

Quantum Physics · Physics 2011-07-25 T. Symul , S. M. Assad , P. K. Lam

We propose a data-driven method to learn the time-dependent probability density of a multivariate stochastic process from sample paths, assuming that the initial probability density is known and can be evaluated. Our method uses a novel…

Machine Learning · Statistics 2025-06-19 Agnimitra Dasgupta , Javier Murgoitio-Esandi , Ali Fardisi , Assad A Oberai

This contribution proposes a new approach towards developing a class of probabilistic methods for classifying attributed graphs. The key concept is random attributed graph, which is defined as an attributed graph whose nodes and edges are…

Computer Vision and Pattern Recognition · Computer Science 2011-09-23 S. Deepak Srinivasan , Klaus Obermayer

We use some of the largest order statistics of the random projections of a reference signal to construct a binary embedding that is adapted to signals correlated with such signal. The embedding is characterized from the analytical…

Machine Learning · Computer Science 2017-01-31 Diego Valsesia , Enrico Magli

We develop a statistical description of chaotic wavefunctions in closed systems obeying arbitrary boundary conditions by combining a semiclassical expression for the spatial two-point correlation function with a treatment of eigenfunctions…

Chaotic Dynamics · Physics 2013-05-29 Juan Diego Urbina , Klaus Richter

Genuine random numbers can be produced beyond a shadow of doubt through the intrinsic randomness provided by quantum mechanics theory. While many degrees of freedom have been investigated for randomness generation, not adequate attention…

We investigate a possible mechanism for the autoionization of ultracold Rydberg gases, based on the resonant coupling of Rydberg pair states to the ionization continuum. Unlike an atomic collision where the wave functions begin to overlap,…

Atomic Physics · Physics 2015-05-13 T. Amthor , J. Denskat , C. Giese , N. N. Bezuglov , A. Ekers , L. Cederbaum , M. Weidemüller
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