Limits of predictions in thermodynamic systems: a review by Marsland, Robert, England, Jeremy L.

“…The past twenty years have seen a resurgence of interest in nonequilibrium thermodynamics, thanks to advances in the theory of stochastic processes and in their thermodynamic interpretation. …”
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Scaling limits for continuous opinion dynamics systems by Como, Giacomo, Fagnani, Fabio

“…It is shown that, in the limit as the population size increases, upon a proper rescaling of the time index, the trajectories of such stochastic processes concentrate, at an exponential rate, around the solution of a measure-valued differential equation. …”
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Transient aging in fractional Brownian and Langevin-equation motion by Kursawe, J, Schulz, J, Metzler, R

“…Stochastic processes driven by stationary fractional Gaussian noise, that is, fractional Brownian motion and fractional Langevin-equation motion, are usually considered to be ergodic in the sense that, after an algebraic relaxation, time and ensemble averages of physical observables coincide. …”

Polymerization Induces Non-Gaussian Diffusion by Fulvio Baldovin, Enzo Orlandini, Flavio Seno

“…Recent theoretical modeling offers a unified picture for the description of stochastic processes characterized by a crossover from anomalous to normal behavior. …”
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Cost Reduction Using SLA-Aware Genetic Algorithm for Consolidation of Virtual Machines in Cloud Data Centers by Hossein Monshizadeh Naeen

“…In order to make the VM placement algorithm be SLA-aware, the proposed approach considers workloads as non-stationary stochastic processes, and automatically approximates them as stationary processes using a novel dynamic sliding window algorithm. …”
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Minimization solutions to conservation laws with non-smooth and non-strictly convex flux by Carey Caginalp

“…In proving akey result for the solution in terms of the value of the initial condition, we provide a stepping stone toanalyzing the system under stochastic processes, which will be explored further in a future paper.…”
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Wood-decaying fungi in old-growth boreal forest fragments: extinctions and colonizations over 20 years by Komonen, Atte, Puumala, Ilkka, Varkonýi, Gergely, Penttilä, Reijo

“…Because fragment characteristics did not affect species turnover, it seems that stochastic processes governed colonizations and extinctions. …”
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Periodicity in distribution. I. Discrete systems by A. Ya. Dorogovtsev

“…By now, a considerable number of mathematical papers has been devoted to periodic and almost periodic in distribution stochastic processes. We give a survey of the theory for certain classes of the linear difference equations in a Banach space. …”
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Mechanistic modelling of within-mosquito viral dynamics: Insights into infection and dissemination patterns. by Jennifer S Lord, Michael B Bonsall

“…We show that the dose-response of the probability of mosquito midgut infection and variation in the dissemination rate can be explained by stochastic processes generated from a small founding population of virions, caused by a relatively low rate of virion infection of susceptible cells. …”
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Interspecific Divergence of Two Sinalliaria (Brassicaceae) Species in Eastern China by Lei Zhang, Tingting Zeng, Huan Hu, Liqiang Fan, Honglei Zheng, Quanjun Hu

“…Our results suggested that both species are well-differentiated and that the fast divergence between them might have been together shaped by both stochastic processes and habitat selection pressures.…”
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Unraveling spurious properties of interaction networks with tailored random networks. by Stephan Bialonski, Martin Wendler, Klaus Lehnertz

“…Mimicking experimental situations, we generate time series with finite length and varying frequency content but from independent stochastic processes. Using the correlation coefficient and the maximum cross-correlation, we estimate interdependencies between these time series. …”
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Shortcomings of vitamin D-based model simulations of seasonal influenza. by Jeffrey Shaman, Christie Y Jeon, Edward Giovannucci, Marc Lipsitch

“…Best-fitting simulations could reproduce the observed seasonal cycle of influenza; however, these best-fit simulations were shown to be highly sensitive to stochastic processes within the model and were unable consistently to reproduce observed seasonal patterns. …”
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Universal Proximity Effect in Target Search Kinetics in the Few-Encounter Limit by Aljaž Godec, Ralf Metzler

“…The initial distance to the target particularly impacts gene regulatory or competitive stochastic processes, for which few binding events often determine the regulatory outcome. …”
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Learning processes in hierarchical pairs regulate entire gene expression in cells by Tomoyuki Yamaguchi

“…A learning pair model is developed, in which two factors autonomously approach the target ratio by repeating two stochastic processes; competitive amplification with a small addition term and decay depending on the difference between the current and target ratios. …”
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Estimation of density-dependent mortality of juvenile bivalves in the Wadden Sea. by Henrike Andresen, Matthias Strasser, Jaap van der Meer

“…Biological or environmental stochastic processes dominated over density dependence at the investigated scale.…”
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Penalized splines model to estimate time-varying reproduction number for Covid-19 in India: A Bayesian semi-parametric approach by Ranjita Pandey, Himanshu Tolani

“…Statistical modelling is pivotal in assessing intensity of a stochastic processes. Novel Corona virus disease demanded proactive measures to understand the severity of disease spread and to plan its control accordingly. …”
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Statistical and probabilistic modeling of a cloud of particles coupled with a turbulent fluid by Goudenège Ludovic, Larat Adam, Llobell Julie, Massot Marc, Mercier David, Thomine Olivier, Vié Aymeric

“…Given the large panel of expertise of the list of authors, the content of this paper scans a wide range of connex notions, from the physics of turbulence to the rigorous definition of stochastic processes. Our approach is to develop reduced-order models for the dynamics of both carrying and carried phases which remain consistant within this formalism, and to set up a numerical process to validate these models. …”
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Determinism of microbial community assembly by drastic environmental change. by Akifumi Nishida, Mayuko Nakagawa, Masayuki Yamamura

“…Microbial community assembly is shaped by deterministic and stochastic processes, but the relationship between these processes and the environment is not understood. …”
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Physical Context Detection using Wearable Wireless Sensor Networks by Muhannad Quwaider, Subir Biswas

“…In the proposed system, three sensor modalities namely acceleration, relative proximity and orientation are used for context identification through Hidden Markov Model (HMM) based stochastic processing. Controlled experiments using human subjects are carried out for evaluating the accuracy of the HMMidentified postures compared to a naïve threshold based mechanism over different human subjects.…”
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The Relation between Granger Causality and Directed Information Theory: A Review by Pierre-Olivier Amblard, Olivier J. J. Michel

“…We present directed information theory from the perspective of studies of causal influences between stochastic processes. Causal conditioning appears to be the cornerstone for the relation between information theory and Granger causality. …”
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