立命館大学数理科学科

日時： 1月15日(木) 17:00 — 17:50
場所： BKCキャンパス ウェストウィング7F 数学第4研究室
講演者： David Herzog 氏（Drake大学）
講演題目： Noise-Induced Stabilization of Planar Flows

アブストラクト： We discuss certain, explosive ODEs in the plane that become stable under the additionof noise. In each equation, the process by which stabilization occurs is intuitively clear: Noisediverts the solution away from any instabilities in the underlying ODE. However, in many cases, proving rigorously this phenomenon occurs has thus far been difficult and the current methods used to do so are rather ad hoc. Here we present a general, novel approach to showingstabilization by noise and apply it to these examples. We will see that the methods used streamline existing arguments as well as produce optimal results, in the sense that they allow us to understand well the asymptotic behavior of the equilibrium measure at infinity.