Random Processes

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August 31, 2024 4 min read Definitions
Continuous Time Process: An Exploration of Stochastic Dynamics
Mathematics Statistics Stochastic Processes Continuous Time Mathematical Models Random Processes Probability Theory
A comprehensive examination of continuous time processes, including historical context, key events, detailed explanations, mathematical models, examples, and applications.
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August 31, 2024 4 min read Definitions
Langevin Equation: A Stochastic Differential Equation Involving Physical Systems
Mathematics Physics Stochastic Differential Equations Thermodynamics Statistical Mechanics Random Processes Brownian Motion
The Langevin Equation is a fundamental stochastic differential equation that describes the evolution of physical systems under the influence of random forces.
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August 31, 2024 4 min read Definitions
Stochastic Calculus: Modeling Random Behavior of Financial Instruments
Mathematics Finance Stochastic Calculus Random Processes Financial Modeling Ito Calculus Brownian Motion
A comprehensive guide to stochastic calculus, a mathematical branch used in modeling the random behavior of financial instruments.
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