69 citations · 75 across the 4 of their papers we have counts for
5 papers
Interception efficiency of CVM-based lightning protection systems for buildings and the fractional Poisson model
Harold S. Haller, Wojbor A. Woyczynski
The purpose of this paper is to resolve a question regarding efficiency of a lightning protection system (LPS) for buildings based on the collection volume method (CVM) . The paper…
Explicit representations for multiscale Lévy processes, and asymptotics of multifractal conservation laws
K. Górska, W. A. Woyczynski
Nonlinear conservation laws driven by Lévy processes have solutions which, in the case of supercritical nonlinearities, have an asymptotic behavior dictated by the solutions of the…
Lévy flights in ecology
Benjamin Jourdain, Sylvie Méléard, Wojbor Woyczynski
We are interested in modeling Darwinian evolution resulting from the interplay of phenotypic variation and natural selection through ecological interactions. The population is mode…
Nonlinear SDEs driven by Lévy processes and related PDEs
Benjamin Jourdain, Sylvie Méléard, Wojbor Woyczynski
In this paper we study general nonlinear stochastic differential equations, where the usual Brownian motion is replaced by a Lévy process. We also suppose that the coefficient mult…
Fractal Hamilton-Jacobi-KPZ equations
Grzegorz Karch, Wojbor A. Woyczynski
Nonlinear and nonlinear evolution equations of the form , where is a pseudodifferential operator representing the infinitesimal generator of a Lévy stoc…