Stochastic Calculus - Levy Processes And

: Generalizes the Poisson process by allowing jumps of random sizes.

: Modeling turbulence, laser cooling, and bursty arrival patterns in communication networks. Levy processes and stochastic calculus

: A pure jump process typically used to model arrival times or discrete events. : Generalizes the Poisson process by allowing jumps

: A specialized version of the chain rule that accounts for the "jumps" in the process. Levy processes and stochastic calculus

: Heavy-tailed processes often used to model extreme market volatility. Why Stochastic Calculus is Necessary

The behavior of any Lévy process is entirely determined by its