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Using recent fluctuation theorems from nonequilibrium statistical mechanics, we extend the theory for voltage fluctuations in electric circuits to power and heat fluctuations. They could be of particular relevance for the functioning of…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , S. Ciliberto , E. G. D. Cohen

We consider probabilistic circuits working over the real numbers, and using arbitrary semialgebraic functions of bounded description complexity as gates. In particular, such circuits can use all arithmetic operations +, -, x, /,…

Computational Complexity · Computer Science 2020-12-24 Stasys Jukna

Background properties in experimental particle physics are typically estimated using large data sets. However, different events can exhibit different features because of the quantum mechanical nature of the underlying physics processes.…

Data Analysis, Statistics and Probability · Physics 2014-12-22 Federico Colecchia

We report the statistical properties of the fluctuations of the energy flux in an electronic RC circuit driven with a stochastic voltage. The fluctuations of the power injected in the circuit are measured as a function of the damping rate…

Statistical Mechanics · Physics 2009-05-06 Claudio Falcón , Eric Falcon

A method for simulating power law noise in clocks and oscillators is presented based on modification of the spectrum of white phase noise, then Fourier transforming to the time domain. Symmetric real matrices are introduced whose…

Data Analysis, Statistics and Probability · Physics 2011-03-28 Neil Ashby

Fluctuations of the electromagnetic field produced by quantized matter in external electric field are investigated. A general expression for the power spectrum of fluctuations is derived within the long-range expansion. It is found that in…

Quantum Physics · Physics 2009-11-13 Kirill A. Kazakov

This paper introduces an agent-based artificial financial market in which heterogeneous agents trade one single asset through a realistic trading mechanism for price formation. Agents are initially endowed with a finite amount of cash and a…

Statistical Mechanics · Physics 2009-11-07 Marco Raberto , Silvano Cincotti , Sergio M. Focardi , Michele Marchesi

A non-fungible token (NFT) market is a new trading invention based on the blockchain technology which parallels the cryptocurrency market. In the present work we study capitalization, floor price, the number of transactions, the…

Computational Finance · Quantitative Finance 2024-01-17 Paweł Szydło , Marcin Wątorek , Jarosław Kwapień , Stanisław Drożdż

We develop a theory of securities price formation and dynamics based on quantum approach and without presuming any similarities with quantum mechanics. Disorder introduced by trading environment leads to probability distribution of returns…

Trading and Market Microstructure · Quantitative Finance 2016-05-19 Jack Sarkissian

A statistical model of discrete finite length random processes with negative power law spectral densities is presented. The definition of terms is followed by a description of the spectral density trend. An algorithmic construction of…

Instrumentation and Methods for Astrophysics · Physics 2023-02-13 Robert Kimberk , Keara Carter , Todd Hunter

In this work, we propose an algorithm to simulate rare events for electronic circuit design. Our approach heavily relies on a smart use of importance sampling, which enables us to tackle probabilities of the magnitude 10 --10. Not only can…

Probability · Mathematics 2021-09-20 Xavier Jonsson , Jérôme Lelong

We present an approach to learn about electricity and dc electric circuits by using real representational models based on the gravitational analogy. The additively manufactured models are deployed in a small-scale teaching intervention on…

Physics Education · Physics 2019-08-20 Oliver Bodensiek , Dörte Sonntag , Isabelle Glawe , Rainer Müller

Modifications of the Cont-Bouchaud percolation model for price fluctuations give an asymmetry for time-reversal, an asymmetry between high and low prices, volatility clustering, effective multifractality, correlations between volatility and…

Statistical Mechanics · Physics 2007-05-23 I. Chang , D. Stauffer , R. B. Pandey

As consumer flexibility becomes expected, it is important that the market mechanisms which attain that flexibility are perceived as fair. We set out fairness issues in energy markets today, and propose a market design to address them.…

Systems and Control · Electrical Eng. & Systems 2025-07-17 Shaun Sweeney , Chris King , Mark O'Malley , Robert Shorten

We show that recent stock market fluctuations are characterized by the cumulative distributions whose tails on short, minute time scales exhibit power scaling with the scaling index alpha > 3 and this index tends to increase quickly with…

Statistical Finance · Quantitative Finance 2009-11-13 S. Drozdz , M. Forczek , J. Kwapien , P. Oswiecimka , R. Rak

This paper presents an agent based model of an electronic market with two types of trading agents. One type follows a mean reverting strategy and the other, the speculative trader, tracks the maximum realised return over recent trades. The…

Trading and Market Microstructure · Quantitative Finance 2023-11-22 Nicolas Cofre , Magdalena Mosionek-Schweda

A short review of the history and the contemporary numerical calculations of the operation of an electronic device for generation of electric oscillations by negative differential conductivity of a supercooled below the critical temperature…

Superconductivity · Physics 2020-06-26 Todor M. Mishonov , Aleksander P. Petkov , Victor I. Danchev , Albert M. Varonov

The power spectrum of quantum fluctuations of the electromagnetic field produced by an elementary particle is determined. It is found that in a wide range of practically important frequencies the power spectrum of fluctuations exhibits an…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Kirill A. Kazakov

We show, by studying in detail the market prices of options on liquid markets, that the market has empirically corrected the simple, but inadequate Black-Scholes formula to account for two important statistical features of asset…

Condensed Matter · Physics 2008-02-03 Marc Potters , Rama Cont , Jean-Philippe Bouchaud

Reliability Options are capacity remuneration mechanisms aimed at enhancing security of supply in electricity systems. They can be framed as call options on electricity sold by power producers to System Operators. This paper provides a…

Pricing of Securities · Quantitative Finance 2019-09-13 Luisa Andreis , Maria Flora , Fulvio Fontini , Tiziano Vargiolu