Join the Department of Mathematics, Applied Mathematics, and Statistics (MAMS) on **Tuesday October 16, 2018** for an Analysis and Probability Seminar given by **Dr. Wojbor Woyczynski, Professor, CWRU Department of MAMS**. Dr. Woyczynski will speak on “**Multiscale Conservation Laws Driven by L/’evy Stable and Linnik Diffusions: Asomptotics, Explicit Representations, Shock Creation, Preservation, and Dissolution.” **The seminar will be held in **Yost 306, from 2:30 – 3:30 PM**.

**Abstract:** Asymptotic behavior of supercritical multifractal fractal conservation laws (CLs) with $L_1$ initial conditions is dictated by the linearized case. Thus obtaining explicit solutions of the latter is of interest. For $ \alpha< 1 $, CLs driven by L\’evy $\alpha$-stable diffusions exhibit shocks for bounded, odd, and convex on $R^+$, initial data. For L\’evy $\alpha$-Linnik diffusions,$0<\alpha\le 2$, the local behavior is strikingly different. The relevant CLs display shocks that do not dissipate over time while those for $\alpha$-stable diffusion ($0<\alpha\le 1$) do.