Calculus | Levy Processes And Stochastic

: Modeling turbulence, laser cooling, and bursty arrival patterns in communication networks.

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

Traditional calculus fails when dealing with the non-differentiable paths of random processes. Stochastic calculus provides the tools to integrate and differentiate these paths, which is critical for: : Modeling turbulence, laser cooling, and bursty arrival

: Estimating risk and claim sizes in aggregate loss processes. : Modeling turbulence

: The statistical properties of an increment depend only on the length of the time interval, not when it occurred.