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Article
Open AccessA Unified Framework for Reservoir Computing and Extreme Learning Machines based on a Single Time-delayed Neuron
In this paper we present a unified framework for extreme learning machines and reservoir computing (echo state networks), which can be physically implemented using a single nonlinear neuron subject to delayed ...
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Article
Timing jitter reduction in gain-switched VCSELs induced by external optical injection
A theoretical study of the effect of optical injection on the characteristics of pulses generated by gain-switched single and multimode VCSELs is performed. It is shown that a jitter reduction greater than 50%...
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Article
Polarization and Transverse Mode Behaviour of VCSELs under Optical Injection
A theoretical analysis of the polarization and transverse modes of Vertical-cavity Surface-emitting lasers with external optical injection is performed. We show that, for single-mode operation, weak injection ...
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Article
Long-Distance Transmission at Zero Dispersion: Exact Expressions for One-Time Statistical Properties
We study the transmission of a signal through a dispersionless fiber with in-line amplifiers. The nonlinearities of the fiber and the noise generated at each amplifier are taken into account. Exact analytical ...
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Chapter
Reactant Segregation: The Effect of Strong Space Disorder in Diffusion-Limited Bimolecular Reactions
Quite recently, the non-classical kinetics of the diffusion-limited reaction processes for two species annihilation A+B→C (C: inert specie), has attracted considerable attention [1–7]. Such a process has been ...
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Chapter
Diffusion in a Disordered Line
There are many physical phenomena in which the diffusion process takes place. In most cases these phenomena are modelled by using particles moving in an homogeneous medium. The intrinsic heterogeneity of the m...
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Chapter
Stochastic Processes Driven by Colored Noise: A Path Integral Point of View
The study of stochastic differential equations driven by colored noise is a recurrent topic in many contexts of physics and other sciences. In its simplest form the problem can be defined considering a relevan...
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Article
Random walk in dynamically disordered chains: Poisson white noise disorder
Exact solutions are given for a variety of models of random walks in a chain with time-dependent disorder. Dynamic disorder is modeled by white Poisson noise. Models with site-independent (global) and site-dep...
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Chapter and Conference Paper
Gas Ring Lasers with Backscattering: One-Time Statistical Properties and Intensity Correlation Functions
In this communication we investigate the statistical properties of two-mode inhomogeneously broadened ring lasers in the presence of backscattering. Apart from the well known phenomenon of frequency lock-in th...
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Chapter
Non-Linear Effects in Structural Vibration Induced Fluctuations
In a nuclear reactor an important source of noise is that induced by the random motion of structural components and internal disturbances. Two significant examples are the random motion, formation and collapse...
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Chapter and Conference Paper
Integro-differential equation for the joint probability density of non-Markovian process. Properties of the correlation for short times
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Article
Master equation description of external poisson white noise in finite systems
We consider finite systems with random control parameters. A theory for a unified description of internal fluctuations and external noise is presented. Internal fluctuations are modeled by a one-step Markovian...
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Chapter and Conference Paper
External Noise in Finite Systems
Stochastically driven systems exhibit a variety of interesting nonequilibrium effects. These have been recently reviewed by HORSTHEMKE and LEFEVER [1] and also addressed by other authors in this workshop. In t...
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Article
Joint probability distribution of nonmarkovian SDE
We obtain a time convolutionless partial differential equation for the two events joint probability distribution of nonmarkovian processes defined by stochastic differential equations with colored noise. As an...
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Article
Erratum to: Path integrals in stochastic electrodynamics
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Article
Erratum to: Path integrals in stochastic electrodynamics
