Transition graph decomposition for complex balanced reaction networks with non-mass-action kinetics
Reaction networks are widely used models to describe biochemical processes. Stochastic fluctuations in the counts of biological macromolecules have amplified consequences due to their small population sizes.
Daniele Cappelletti, Badal Joshi
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Extreme Characteristics of a Stochastic Non-Stationary Duffing Oscillator
Unexpected responses in dynamic systems can lead to catastrophic failures. Without full knowledge of the system, it is impossible to know whether all of the dynamics have been captured or considered. Furthermore, a large number of Monte Carlo simulations
Samuel J. Edwards +2 more
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Non-Stationary Stochastic Global Optimization Algorithms
Studying the theoretical properties of optimization algorithms such as genetic algorithms and evolutionary strategies allows us to determine when they are suitable for solving a particular type of optimization problem. Such a study consists of three main
Jonatan Gomez, Andres Rivera
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Introducing Plithogenic Stochastic Processes with an Application to Poisson Process [PDF]
In this paper, we study and define the mathematical form of plithogenic stochastic processes PSP based on set of three classic stochastic processes. This new definition is a generalization of neutrosophic stochastic process.
Abdulrahman Astambli +2 more
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ON THE QHASI CLASS AND ITS EXTENSION TO SOME GAUSSIAN SHEETS
Introduced in 2018 the generalized bifractional Brownian motion is considered as an element of the quasi-helix with approximately stationary increment class of real centered Gaussian processes conditioning by parameters.
Charles El-Nouty, Darya Filatova
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Algorithms for Linear Interpolator and Interpolation Error for Minimal Stationary Stochastic Processes [PDF]
H. Salehi
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White noise based stochastic calculus associated with a class of Gaussian processes [PDF]
Using the white noise space setting, we define and study stochastic integrals with respect to a class of stationary increment Gaussian processes. We focus mainly on continuous functions with values in the Kondratiev space of stochastic distributions ...
Daniel Alpay, Haim Attia, David Levanony
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Analyzing long-term correlated stochastic processes by means of recurrence networks: Potentials and pitfalls [PDF]
Long-range correlated processes are ubiquitous, ranging from climate variables to financial time series. One paradigmatic example for such processes is fractional Brownian motion (fBm).
Donner, Reik V. +2 more
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Simulating Non-Gaussian Stationary Stochastic Processes by Translation Model
The translation model is a useful tool to characterize stochastic processes or random fields. In this paper, this model is extended to simulate stochastic processes with discrete marginal distributions.
Qing Xiao, Shaowu Zhou
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The time history analysis is used to estimate the peak responses of structures subjected to stationary and nonstationary winds. The time histories of the fluctuating wind processes at multiple points can be simulated based on the spectral representation ...
P. Hong, H. P. Hong
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