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Gene regulatory circuits must contend with intrinsic noise that arises due to finite numbers of proteins. While some circuits act to reduce this noise, others appear to exploit it. A striking example is the competence circuit in Bacillus…

Molecular Networks · Quantitative Biology 2016-04-27 Andrew Mugler , Mark Kittisopikul , Luke Hayden , Jintao Liu , Chris H. Wiggins , Gurol M. Suel , Aleksandra M. Walczak

We investigate the effects of noise on parameterised quantum circuits using spectral analysis and classical signal processing tools. For different noise models, we quantify the additional, higher frequency modes in the output signal caused…

Quantum Physics · Physics 2022-11-11 Enrico Fontana , Ivan Rungger , Ross Duncan , Cristina Cîrstoiu

White noise is a fundamental and fairly well understood stochastic process that conforms the conceptual basis for many other processes, as well as for the modeling of time series. Here we push a fresh perspective toward white noise that,…

Statistical Mechanics · Physics 2023-01-04 Alvaro Diaz-Ruelas

This paper deals with the phase noise affecting communication systems, where local oscillators are employed to obtain reference signals for carrier and timing synchronizations. The most common discrete-time phase noise channel model is…

Information Theory · Computer Science 2024-06-21 Amina Piemontese , Giulio Colavolpe , Thomas Eriksson

We propose a non-standard subsampling procedure to make formal statistical inference about the business cycle, one of the most important unobserved feature characterising fluctuations of economic growth. We show that some characteristics of…

Applications · Statistics 2023-07-19 Lukasz Lenart , Mateusz Pipien

We have developed a new methodology and a time-domain software package for the estimation of the oscillation frequency and the phase noise spectrum of non-linear noisy microwave circuits based on the direct integration of the system of…

Computational Physics · Physics 2007-05-23 C. Tannous

Increased share of renewable sources of energy in a power grid leads to larger deviations in grid frequency from the nominal value resulting in more challenging control and its modelling. In this paper we focus on the grid frequency for the…

Physics and Society · Physics 2022-10-10 David Kraljic

Computing circuits composed of noisy logical gates and their ability to represent arbitrary Boolean functions with a given level of error are investigated within a statistical mechanics setting. Bounds on their performance, derived in the…

Disordered Systems and Neural Networks · Physics 2015-05-14 Alexander Mozeika , David Saad , Jack Raymond

Power spectral densities are a common, convenient, and powerful way to analyze signals. So much so that they are now broadly deployed across the sciences and engineering---from quantum physics to cosmology, and from crystallography to…

Statistical Mechanics · Physics 2021-03-03 P. M. Riechers , J. P. Crutchfield

The process of technological change can be regarded as a non-deterministic system governed by factors of a cumulative nature that generate cyclical phenomena. In this context, the process of growth and decline of technology can be…

General Economics · Economics 2020-10-14 Mario Coccia

Main aim of this topical issue is to report recent advances in noisy nonequilibrium processes useful to describe the dynamics of ecological systems and to address the mechanisms of spatio-temporal pattern formation in ecology both from the…

Biological Physics · Physics 2009-11-13 Astero Provata , Igor M. Sokolov , Bernardo Spagnolo

Business process deviance refers to the phenomenon whereby a subset of the executions of a business process deviate, in a negative or positive way, with respect to its expected or desirable outcomes. Deviant executions of a business process…

Artificial Intelligence · Computer Science 2016-08-31 Hoang Nguyen , Marlon Dumas , Marcello La Rosa , Fabrizio Maria Maggi , Suriadi Suriadi

Using recent advances in the econometrics literature, we disentangle from high frequency observations on the transaction prices of a large sample of NYSE stocks a fundamental component and a microstructure noise component. We then relate…

Applications · Statistics 2009-06-11 Yacine Aït-Sahalia , Jialin Yu

The activity generated by an ensemble of neurons is affected by various noise sources. It is a well-recognised challenge to understand the effects of noise on the stability of such networks. We demonstrate that the patterns of activity…

Analysis of PDEs · Mathematics 2022-05-19 Jose A. Carrillo , Helge Holden , Susanne Solem

In this paper we present a framework for investigating coloured noise in reaction-diffusion systems. We start by considering a deterministic reaction-diffusion equation and show how external forcing can cause temporally correlated or…

Quantitative Methods · Quantitative Biology 2018-12-03 Michael F Adamer , Heather A Harrington , Eamonn A Gaffney , Thomas E Woolley

The business cycles are generated by the oscillating macro-/micro-/nano- economic output variables in the economy of the scale and the scope in the amplitude/frequency/phase/time domains in the economics. The accurate forward looking…

Econometrics · Economics 2018-03-28 Viktor O. Ledenyov , Dimitri O. Ledenyov

Business process deviance refers to the phenomenon whereby a subset of the executions of a business process deviate, in a negative or positive way, with respect to {their} expected or desirable outcomes. Deviant executions of a business…

Artificial Intelligence · Computer Science 2021-11-25 Giacomo Bergami , Chiara Di Francescomarino , Chiara Ghidini , Fabrizio Maria Maggi , Joonas Puura

Dynamic speckle method is an effective tool for estimation of speed of processes. Speed distribution is encoded in a map built by statistical pointwise processing of time-correlated speckle patterns. For industrial inspection,the outdoor…

A class of stochastic vector-borne infectious disease models is derived and studied. The class type is determined by a general nonlinear incidence rate of the disease. The disease spreads in a highly random environment with variability from…

Populations and Evolution · Quantitative Biology 2020-05-05 Divine Wanduku

Fluctuations and noise may alter the behavior of dynamical systems considerably. For example, oscillations may be sustained by demographic fluctuations in biological systems where a stable fixed point is found in the absence of noise. We…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Richard P. Boland , Tobias Galla , Alan J. McKane
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