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Rescaling Stochastic Processes: Asymptotics
2008In this chapter the authors investigate the links among different scales, from a probabilistic point of view. Particular attention is being paid to the mathematical modelling of the social behavior of interacting individuals in a biological population, on one hand because there is an intrinsic interest in dynamics of population herding, on the other ...
V. Capasso, D. Morale
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2010
A stochastic process is any process describing the evolution in time of a random phenomenon. From a mathematical point of view, the theory of stochastic processes was settled around 1950. Since then, stochastic processes have become a common tool for mathematicians, physicists, engineers, and the field of application of this theory ranges from the ...
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A stochastic process is any process describing the evolution in time of a random phenomenon. From a mathematical point of view, the theory of stochastic processes was settled around 1950. Since then, stochastic processes have become a common tool for mathematicians, physicists, engineers, and the field of application of this theory ranges from the ...
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Continuous-Time Stochastic Processes
1987Applications of continuous-time stochastic processes to economic modelling are largely focused on the areas of capital theory and financial markets: In these applications as in mathematics generally, the most widely studied continuous time process is a Brownian motion — so named for its early application as a model of the seemingly random movements of ...
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2002
Existence of Diffusions with Continuous Coefficients On the Uniqueness of Markov Process Associated with the Boltzmann Equation of Maxwellian Molecules Stochastic Differential Equations with Reflecting Boundary Condition in Convex Regions Limit Distributions for One-Dimensional Diffusion Processes in Self-Similar Random Environments Recurrence of a ...
Makoto Maejima, Tokuzo Shiga
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Existence of Diffusions with Continuous Coefficients On the Uniqueness of Markov Process Associated with the Boltzmann Equation of Maxwellian Molecules Stochastic Differential Equations with Reflecting Boundary Condition in Convex Regions Limit Distributions for One-Dimensional Diffusion Processes in Self-Similar Random Environments Recurrence of a ...
Makoto Maejima, Tokuzo Shiga
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1999
Abstract Stochastic processes are a fundamental concept in finance theory. They describe random phenomena that evolve over time, such as securities prices, interest rates, trading strategies, the value of an investor’s portfolio, etc.
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Abstract Stochastic processes are a fundamental concept in finance theory. They describe random phenomena that evolve over time, such as securities prices, interest rates, trading strategies, the value of an investor’s portfolio, etc.
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Stochastic Geometry Analysis of Spatial-Temporal Performance in Wireless Networks: A Tutorial
IEEE Communications Surveys and Tutorials, 2021Xiao Lu, Mohammad Salehi, Martin Haenggi
exaly