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I am currently a Zuckerman Postdoctoral Scholar at The Technion הטכניון, Israel, hosted by Leonid Mytnik and Haya Kaspi.

My current research involves estimating the speed of wave-fronts for KPP-equations with noise. In general, my research area is probability theory motivated by statistical physics.

I have worked across disciplines as a statistical consultant while in the MS Statistics program at UW.

Past (and some current work) of mine involves large scale behavior of interacting diffusions motivated by statistical physics and statistical thermodynamics. In these problems we determine the PDE/free boundary problem resulting as the limit of the empirical processes as the number of particles become large. Typically we also show existence and uniqueness of the PDE.

I received my PhD under Krzysztof Burdzy at the University of Washington, Seattle.

I previously co-organized (w Tobias Hurth) the ANR-MALIN conference June 10-14, 2019, which took place in the mountainous Les Diablerets, Switzerland.  The next conference will take place in CIRM, Marseille. (Postdocs/grad students associated with ANR or MALIN are especially encouraged).

The image adjacent to the photo was generated by a group of undergraduates I worked with in the Washington eXperimental Math Lab (WXML). They used computational methods to confirm conjectures for the Hausdorff dimension of the Brownian earthworm model. They compared two computational methods to estimate the Hausdorff dimension of fractals. Check out this list of fractals and their Hausdorff dimension.

Talks: (Invited) Berlin (April 9th, 2020), Northeast Probability Seminar, CUNY (November 21, 2019); Oxford (June 17, 2019); EPFL, Lausanne; SMSA (TU Dresden); University of Zagreb, Croatia; XXI Escola Brasileira de Probabilidade IMPA, Rio de Janeiro.

Contact: clayleroy2[at]gmail.com; cbarnes[at]campus.technion.ac.il