Dapeng Zhan
Dapeng Zhan is a Sino-American mathematician who studies probability theory and statistical mechanics.
Dapeng Zhan received his PhD from Caltech in 2004 with Nikolai Georgijewitsch Makarow (Random Loewner Chains in Riemann Surfaces). From 2004 to 2007 he was Morrey Assistant Professor at the University of California, Berkeley and thereafter until 2009 Gibbs Assistant Professor at Yale University . From 2009 he was Assistant Professor and from 2012 Associate Professor at Michigan State University .
He deals with critical phenomena (phase transitions) in two-dimensional lattice models and achieved significant results for Schramm-Löwner Evolution (SLE), for which he was able to prove various reversibility and duality assumptions. He used the method of stochastic coupling, which enables the growth of two different SLE curves in the same area. With this he showed that chordal is reversible for (i.e. the chordal SLE curve from point A to point B is the same as from point B to point A). He also showed duality: the edge of a "curve" has the shape of a curve.
In 2011 he received the Salem Prize with Julien Dubedat . In 2011 he became a Sloan Fellow .
Fonts
- Reversibility of whole-plane SLE, Arxiv, 2010
- Loop erasure of plane Brownian motion, Comm. Math. Phys, Volume 303, 2011, pp. 709-720, Arxiv
- Duality of chordal SLE, Inventiones Mathematicae, Volume 174, 2008, pp. 309-353, Arxiv , Part 2, Annales Inst. Henri Poincaré, Volume 46, 2010, pp. 750-759, Arxiv
- Reversibility of chordal SLE, Annals of Probability, Volume 36, 2008, pp. 1472-149, Arxiv
- The scaling limits of planar LERW in finitely connected domains, Annals of Probability, Volume 36, 2008, pp. 467-529
Web links
Individual evidence
- ↑ Chordal means the connecting two edge points
- ↑ Zhan, Introduction to SLE from his homepage
- ↑ It's a fractal object
| personal data | |
|---|---|
| SURNAME | Zhan, Dapeng |
| BRIEF DESCRIPTION | Chinese-American mathematician |
| DATE OF BIRTH | 20th century |