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The inspiral and merger of eccentric binaries leads to gravitational waveforms distinct from those generated by circularly merging binaries. Dynamical environments can assemble binaries with high eccentricity and peak frequencies within the…

High Energy Astrophysical Phenomena · Physics 2015-06-16 Johan Samsing , Morgan MacLeod , Enrico Ramirez-Ruiz

Chaos enables the emergence of randomness in deterministic physical systems. Therefore it can be exploited for the conception of true random number generators (RNG) mandatory in classical cryptography applications. Meanwhile, nanomechanical…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Guilhem Madiot , Franck Correia , Sylvain Barbay , Rémy Braive

In this paper, we show that a binary latent space can be explored for compact yet expressive image representations. We model the bi-directional mappings between an image and the corresponding latent binary representation by training an…

Computer Vision and Pattern Recognition · Computer Science 2023-04-12 Ze Wang , Jiang Wang , Zicheng Liu , Qiang Qiu

We study inhomogeneous Bernoulli bond percolation on the graph $G \times \mathbb{Z}$, where $G$ is a connected quasi-transitive graph. The inhomogeneity is introduced through a random region $R$ around the origin axis…

Probability · Mathematics 2026-02-02 A. Nascimento , R. Sanchis , D. Ungaretti

Robots that can execute various tasks automatically on behalf of humans are becoming an increasingly important focus of research in the field of robotics. Imitation learning has been studied as an efficient and high-performance method, and…

Robotics · Computer Science 2021-02-05 Ayumu Sasagawa , Sho Sakaino , Toshiaki Tsuji

We introduce several classes of pseudorandom sequences which represent a natural extension of classical methods in random number generation. The sequences are obtained from constructions on labeled binary trees, generalizing the well-known…

Combinatorics · Mathematics 2016-03-29 Josef Eschgfäller , Andrea Scarpante

Speckled images of a binary broad band light source (600-670 nm), generated by randomized reflections or transmissions, were used to reconstruct a binary image by use of multi-frame blind deconvolution algorithms. Craft store glitter was…

Instrumentation and Methods for Astrophysics · Physics 2016-01-05 Xiaopeng Peng , Garreth J. Ruane , Grover A. Swartzlander

This paper describes new, simple, recursive methods of construction for orientable sequences, i.e. periodic binary sequences in which any n-tuple occurs at most once in a period in either direction. As has been previously described, such…

Combinatorics · Mathematics 2026-03-20 Chris J Mitchell , Peter R Wild

Nonlinear complexity is an important measure for assessing the randomness of sequences. In this paper we investigate how circular shifts affect the nonlinear complexities of finite-length binary sequences and then reveal a more explicit…

Information Theory · Computer Science 2024-04-26 Qin Yuan , Chunlei Li , Xiangyong Zeng , Tor Helleseth , Debiao He

The majority of fast millisecond pulsars are in binary systems, so that any periodic signal they emit is modulated by both Doppler and relativistic effects. Here we show how well-established binary models can be used to account for these…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Matthew Pitkin , Graham Woan

We describe a high-speed physical random number generator based on a hybrid Boolean network with autonomous and clocked logic gates, realized on a reconfigurable chip. The autonomous logic gates are arranged in a bidirectional ring topology…

Chaotic Dynamics · Physics 2013-04-30 David P. Rosin , Damien Rontani , Daniel J. Gauthier

In this paper, we derive some identities involving special numbers and moments of random variables by using the generating functions of the moments of certain random variables. Here the related special numbers are Stirling numbers of the…

Number Theory · Mathematics 2018-02-06 Taekyun Kim , Yonghong Yao , Dae San Kim , Hyuck-In Kwon

We propose a scheme to generate metal-insulator transition in random binary layer (RBL) model, which is constructed by randomly assigning two types of layers. Based on a tight-binding Hamiltonian, the localization length is calculated for a…

Disordered Systems and Neural Networks · Physics 2015-06-12 Ai-Min Guo , Shi-Jie Xiong , X. C. Xie , Qing-feng Sun

The asymmetric switch process is a binary stochastic process that alternates between the values one and minus one, where the distributions of the time in these states may differ. Two versions of the process are considered: a non-stationary…

Probability · Mathematics 2025-02-24 Henrik Bengtsson , Krzysztof Podgorski

We study a large class of long-range random walks which take values on the vertices of an N dimensional hypercube. These processes are connected with multivariate Bernoulli autoregression.

Probability · Mathematics 2022-02-01 Andrea Collevecchio , Robert C. Griffiths

We propose and numerically validate an all-optical scheme to generate a train of optical pulses. Modulation of a continuous wave with a periodic binary temporal phase pattern followed by a spectral phase shaping enables us to obtain…

Optics · Physics 2020-06-03 Anastasiia Sheveleva , Christophe Finot

We analyze the connection between the autocorrelation of a binary sequence and its run structure given by the run length encoding. We show that both the periodic and the aperiodic autocorrelation of a binary sequence can be formulated in…

Information Theory · Computer Science 2013-08-05 Jürgen Willms

We propose a procedure to generate dynamical networks with bursty, possibly repetitive and correlated temporal behaviors. Regarding any weighted directed graph as being composed of the accumulation of paths between its nodes, our…

Physics and Society · Physics 2013-04-10 Alain Barrat , Bastien Fernandez , Kevin K Lin , Lai-Sang Young

We develop an anomaly-detection method when systematic anomalies, possibly statistically very similar to genuine inputs, are affecting control systems at the input and/or output stages. The method allows anomaly-free inputs (i.e., those…

Methodology · Statistics 2022-02-01 Ning Sun , Chen Yang , Ričardas Zitikis

We develop constructions for exchangeable sequences of point processes that are rendered conditionally-i.i.d. negative binomial processes by a (possibly unknown) random measure called the base measure. Negative binomial processes are useful…

Probability · Mathematics 2019-08-20 Creighton Heaukulani , Daniel M. Roy