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The assessing resources dynamics problem, in the context of an economic system with Gaussian consumption and deterministic productivity, is considered in this paper. Basically it is presented a discrete time recursive equation that supports…

Probability · Mathematics 2021-10-04 Manuel Alberto M. Ferreira , José António Filipe

The diffusion of a bulk absorbed gas species out of spherical pebbles is studied analytically, stressing the usefulness of the time integral of the diffusion coefficient for analysis of arbitrary temperature schedule experiments. Highly…

Materials Science · Physics 2009-11-13 Ricardo E. Avila

We examine the effect of non-equilibrium processes modeled by the introduction of a generalized Boltzmann factor on the thermal and magnetic properties of an array of two-dimensional GaAs quantum dots in the presence of an external uniform…

Materials Science · Physics 2020-05-20 Jorge David Castaño-Yepes , D. A. Amor-Quiroz

In this paper, we consider a situation where a decision maker's (DM's) risk preference can be described by a spectral risk measure (SRM) but there is not a single SRM which can be used to represent the DM's preferences consistently.…

Optimization and Control · Mathematics 2023-01-06 Manlan Li , Xiaojiao Tong , Huifu Xu

Increasing shares of fluctuating renewable energy sources induce higher and higher power flow variability at the transmission level. The question arises as to what extent existing networks can absorb additional fluctuating power injection…

Systems and Control · Computer Science 2014-11-18 Markus Schläpfer , Pierluigi Mancarella

Digital monitoring studies collect real-time high frequency data via mobile sensors in the subjects' natural environment. This data can be used to model the impact of changes in physiology on recurrent event outcomes such as smoking, drug…

Methodology · Statistics 2022-04-15 Walter Dempsey

A stochastic action principle for stochastic dynamics is revisited. We present first numerical diffusion experiments showing that the diffusion path probability depend exponentially on average Lagrangian action. This result is then used to…

Statistical Mechanics · Physics 2020-11-25 Q. A. Wang , F. Tsobnang , S. Bangoup , F. Dzangue , A. Jeatsa , A. Le Méhauté

Curve registration plays a major role in functional data analysis by separating amplitude and phase variation through warping functions and the accurate simulation of warping processes is essential for developing statistical methods that…

Methodology · Statistics 2026-01-06 Nolwenn Le Méhauté , Jean-François Coeurjolly , Marie-Hélène Descary

We develop a formulation for molecular dynamics, Langevin, and hybrid Monte Carlo algorithms in the recently proposed generalized ensemble that is based on a physically motivated realisation of Tsallis weights. The effectiveness of the…

Biological Physics · Physics 2016-09-08 Ulrich H. E. Hansmann , Frank Eisenmenger , Yuko Okamoto

Spatiotemporal dynamics models are fundamental for various domains, from heat propagation in materials to oceanic and atmospheric flows. However, currently available neural network-based spatiotemporal modeling approaches fall short when…

Machine Learning · Computer Science 2025-02-11 Valerii Iakovlev , Harri Lähdesmäki

We use asymptotic methods from the theory of differential equations to obtain an analytical expression for the survival probability of an Ornstein-Uhlenbeck process with a potential defined over a broad domain. We form a uniformly…

Statistical Mechanics · Physics 2020-11-26 L. T. Giorgini , W. Moon , J. S. Wettlaufer

In the real world, one almost never knows the parameters of a thermodynamic process to infinite precision. Reflecting this, here we investigate how to extend stochastic thermodynamics to systems with uncertain parameters, including…

Statistical Mechanics · Physics 2021-03-17 Jan Korbel , David H. Wolpert

Tempered stable distributions are frequently used in financial applications (e.g., for option pricing) in which the tails of stable distributions would be too heavy. Given the non-explicit form of the probability density function,…

Statistics Theory · Mathematics 2024-07-08 Till Massing

In traditional thermodynamical and statistical-mechanical approaches one has (some) detailed knowledge of the principles governing the microdynamics of a system. However in many instances we may not have a Hamiltonian or good information…

Statistical Mechanics · Physics 2007-05-23 David Ford

The sub-Gaussian stable distribution is a heavy-tailed elliptically contoured law which has interesting applications in signal processing and financial mathematics. This work addresses the problem of feasible estimation of distributions. We…

Statistics Theory · Mathematics 2022-08-04 Taras Bodnar , Dmitry Otryakhin , Erik Thorsen

The linear response to temperature changes is derived for systems with overdamped stochastic dynamics. Holding both in transient and steady state conditions, the results allow to compute nonequilibrium thermal susceptibilities from…

Statistical Mechanics · Physics 2016-04-11 Gianmaria Falasco , Marco Baiesi

In this paper the running average of a subordinator with a tempered stable distribution is considered. We investigate a family of previously unexplored infinite-activity subordinators induced by the probability distribution of the running…

Probability · Mathematics 2020-09-08 Weixuan Xia

We study four different approaches to model time-dependent extremal behavior: dynamics introduced by (a) a state-space model (SSM), (b) a shot-noise-type process with GPD marginals, (c) a copula-based autoregressive model with GPD…

Applications · Statistics 2016-03-01 Bernhard Spangl , Sascha Desmettre , Peter Ruckdeschel

By building on a recently introduced genetic-inspired attribute-based conceptual framework for safety risk analysis, we propose a novel methodology to compute construction univariate and bivariate construction safety risk at a situational…

Applications · Statistics 2016-09-27 Antoine J. -P. Tixier , Matthew R. Hallowell , Balaji Rajagopalan

Formalism based on equilibrium statistical thermodynamics is applied to communication networks of decision making individuals. It is shown that in statistical ensembles for choice models, properly defined disutility can play the same role…

Statistical Mechanics · Physics 2007-05-23 Arkadiusz Majka , Wojciech Wislicki
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