Dapeng Zhan

 

Professor of Mathematics

Michigan State University

 

Office:                    C327 Wells Hall

Phone:                   517-353-3838

Email:                     zhan@math.msu.edu

Education:             Ph.D.  California Institute of Technology, 2004

 

Research Interests

 

Probability Theory, Schramm-Loewner evolution (SLE), Statistical lattice models

Click here to see my [CV].

Click here for a brief introduction on SLE [Introduction].

Click here for my lecture notes on SLE [Lecture]

 

Professional Experiences

 

Associate Professor                    Michigan State University     2012 - 2017

Assistant Professor                     Michigan State University     2009 - 2012

Gibbs Assistant Professor            Yale University                   2007 - 2009

Morrey Assistant Professor          UC Berkeley                    2004 - 2007

 

Awards and Grants

Simons Fellowship (2016)

Salem Prize (2012)

Sloan Research Fellowship (2011-2015)

NSF CAREER award: DMS 1056840 (2011-2018)

NSF Grant: DMS 0963733 (2009-2013)

 

Publications

 

0.    Random Loewner chains in Riemann surfaces, PhD dissertation at Caltech, 2004.

1.   Stochastic Loewner evolution in doubly connected domains, Probability Theory and Related Fields, 129:340-380, 2004

2.    Some properties of annulus SLE. Electronic Journal of Probability, 11:1069-1093, 2006.

3.    The scaling limits of planar LERW in finitely connected domains. Annals of Probability, 36(2):467-529, 2008.

4.    Reversibility of chordal SLE. Annals of Probability, 36(4):1472-1494, 2008.

5.    Duality of chordal SLE. Inventiones Mathematicae, 174(2):309-353, 2008.

6.    Continuous LERW started from interior points. Stochastic Processes and their Applications, 120:1267-1316, 2010.

7.    Reversibility of some chordal SLE(;) traces. Journal of Statistical Physics, 139(6):1013-1032, 2010.

8.    Duality of chordal SLE, II. Ann. I. H. Poincare-Pr., 46(3):740-759, 2010.

9.    Loop-erasure of planar Brownian motion. Communications in Mathematical Physics, 133(3):709-720, 2011.

10. Restriction properties of annulus SLE. Journal of Statistical Physics, 146(5):1026-1058, 2012.

11. Reversibility of whole-plane SLE. Probability Theory and Related Fields, 161(3):561-618, 2015.

12. Ergodicity of the tip of an SLE curve. Probability Theory and Related Fields, 164(1):333-360, 2016.

13. (with Steffen Rohde) Backward SLE and symmetry of welding. Probability Theory and Related Fields, 164(3):815-863, 2016.

14. (with Mohammad A. Rezaei) Higher moments of the natural parameterization for SLE curves. Accepted by Ann. I. H. Poincare-Pr.

 

Preprints

 

1.    Decomposition of Schramm-Loewner evolution along its curve. In preprint, arXiv:1509.05015.

2.     (with Hao Wu) Boundary arm exponents for SLE. In preprint, arXiv:1606.05998.

3.     (with Mohammad A. Rezaei) Green's function for chordal SLE curves. In preprint, arXiv:1607.03840.

4.    SLE loop measures. In preprint, arXiv:1702.08026.

5.    Optimal Hӧlder continuity and dimension properties for SLE with Minkowski content parametrization. In preprint, arXiv:1706.05603.

 

Teaching in Spring, 2018

 

MTH 829: Complex Analysis I