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We consider the motion of an overdamped particle in a periodic potential lacking spatial symmetry under the influence of symmetric L\'evy noise, being a minimal setup for a ``L\'evy ratchet.'' Due to the non-thermal character of the L\'evy…

统计力学 · 物理学 2009-11-13 B. Dybiec , E. Gudowska-Nowak , I. M. Sokolov

We consider a network of randomly coupled rate-based neurons influenced by external and internal noise. We derive a second-order stochastic mean-field model for the network dynamics and use it to analyze the stability and bifurcations in…

混沌动力学 · 物理学 2015-12-14 Vladimir Klinshov , Igor Franovic

Many astronomical phenomena, including Fast Radio Bursts and Soft Gamma Repeaters, consist of brief, separated, seemingly aperiodic events. The intervals between these events vary randomly, but there are epochs of greater activity, with…

高能天体物理现象 · 物理学 2024-06-06 J. I. Katz

This article is concerned with stability analysis and stabilization of randomly switched systems under a class of switching signals. The switching signal is modeled as a jump stochastic (not necessarily Markovian) process independent of the…

最优化与控制 · 数学 2011-10-04 Debasish Chatterjee , Daniel Liberzon

The digital record of the voltage in a radio telescope receiver, after frequency conversion and sampling at a finite rate, is not a perfect representation of the original analog signal. To detect and characterise a transient event with a…

天体物理仪器与方法 · 物理学 2013-01-24 J. D. Bray , R. D. Ekers , P. Roberts

We probe electric-field noise near the metal surface of an ion trap chip in a previously unexplored high-temperature regime. We observe a non-trivial temperature dependence with the noise amplitude at 1-MHz frequency saturating around…

We characterize the stability, metastability, and the stationary regime of traffic dynamics in a single-cell uplink wireless system. The traffic is represented in terms of spatial birth-death processes, in which users arrive as a Poisson…

信息论 · 计算机科学 2020-10-15 Ahmad AlAmmouri , Jeffrey G. Andrews , Francois Baccelli

It is difficult to choose detection thresholds for tests of non-stationarity that assume {\em a priori} a noise model if the data is statistically uncharacterized to begin with. This is a potentially serious problem when an automated…

广义相对论与量子宇宙学 · 物理学 2009-12-30 Soumya D. Mohanty

Estimating eigenvectors and low-dimensional subspaces is of central importance for numerous problems in statistics, computer science, and applied mathematics. This paper characterizes the behavior of perturbed eigenvectors for a range of…

统计理论 · 数学 2018-09-14 Joshua Cape , Minh Tang , Carey E. Priebe

Stochastic resonance (SR) - a counter-intuitive phenomenon in which the signal due to a weak periodic force in a nonlinear system can be {\it enhanced} by the addition of external noise - is reviewed. A theoretical approach based on linear…

The transient behavior of an ecosystem with N random interacting species in the presence of a multiplicative noise is analyzed. The multiplicative noise mimics the interaction with the environment. We investigate different asymptotic…

统计力学 · 物理学 2009-11-10 B. Spagnolo , D. Valenti , A. Fiasconaro

In this work we demonstrate single microparticle transport enabled by noise in a one dimensional optical lattice with periodic symmetric potentials and a small constant external force. The one dimensional lattice is implemented by six…

光学 · 物理学 2016-09-23 Roberto de J. León-Montiel , Pedro A. Quinto-Su

We consider random walk on a mildly random environment on finite transitive d- regular graphs of increasing girth. After scaling and centering, the analytic spectrum of the transition matrix converges in distribution to a Gaussian noise. An…

概率论 · 数学 2011-11-10 Dimitrios Cheliotis , Balint Virag

We consider a particle in the over-damped regime at zero temperature under the influence of a sawtooth potential and of a noisy force, which is correlated in time. A current occurs, even if the mean of the noisy force vanishes. We calculate…

统计力学 · 物理学 2009-10-30 Heiner Kohler , Andreas Mielke

We consider the statics and dynamics of a single particle trapped in a one-dimensional harmonic potential, and subjected to a driving noise with memory, that is represented by a resetting stochastic process. The finite memory of this…

统计力学 · 物理学 2024-01-18 Mathis Gueneau , Satya N. Majumdar , Gregory Schehr

Spectral properties of Toeplitz operators and their finite truncations have long been central in operator theory. In the finite dimensional, non-normal setting, the spectrum is notoriously unstable under perturbations. Random perturbations…

概率论 · 数学 2025-09-17 Anirban Basak

Stochastic phenomena in which the noise amplitude is proportional to the fluctuating variable itself, usually called {\it multiplicative noise}, appear ubiquitously in physics, biology, economy and social sciences. The properties of…

凝聚态物理 · 物理学 2007-05-23 Miguel A. Munoz

This letter investigates the bias-dependent low frequency noise of single layer graphene field-effect transistors. Noise measurements have been conducted with electrolyte-gated graphene transistors covering a wide range of gate and drain…

介观与纳米尺度物理 · 物理学 2018-10-22 Nikolaos Mavredakis , Ramon Garcia Cortadella , Andrea Bonaccini Calia , Jose A. Garrido , David Jiménez

The presence of $1/f$ noise, also known as pink noise, is a well-established phenomenon in biological neural networks, and is thought to play an important role in information processing in the brain. In this study, we find that such $1/f$…

数据分析、统计与概率 · 物理学 2024-04-02 Nicholas Chong Jia Le , Ling Feng

We consider the Robin Hood dynamics, a one-dimensional extremal self-organized critical model that describes the evolution of low-temperature creep. One of the key quantities is the time evolution of the state variable (force noise). To…

统计力学 · 物理学 2024-05-02 Abha Singh , Rahul Chhimpa , Avinash Chand Yadav
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