Comet Calendar Event Details

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Mathematical Sciences Colloquium by Kaitlin Hill
Friday, Nov. 1, 2019
11 a.m. - noon Location: JO 3.516

Kaitlin Hill

Wake Forest University

Optimal path choice in stochastic piecewise-smooth systems

In stochastic systems, the effect of noise may cause the system to transition from one metastable state to another metastable state as a rare event. While there are many possible trajectories for this path to follow, there is a most probable path, which can be determined by minimizing the Friedlin-Wentzell rate functional. However, it is not clear how the most probable path may behave when the vector field is piecewise-smooth. In particular, we are motivated by models of Arctic energy balance, which typically have a piecewise-smooth geometry, and possible characterizations of tipping events as Arctic sea ice melts. With this application in mind, we will characterize the behavior of the most probable path between basins of attraction in a planar system of ODEs with additive noise, composed of two smooth vector fields separated by a switching manifold. We will explore mechanisms for the robust determination of most probable paths in stochastic piecewise-smooth systems of this type.

Persons with disabilities may submit a request for accommodations to participate in this event at UT Dallas' ADA website. You may also call (972) 883-5331 for assistance or send an email to [email protected]. All requests should be received no later than 2 business days prior to the event.
Contact Info:
Viswanath Ramakrishna, 972-883-6873
Questions? Email me.

Tagged as Lectures/Seminars, Professional Dev.
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