Jian Ding's Home Page
I am currently a Szego Assistant Professor at Department of Mathematics at Stanford . My office is 382K at Sloan Hall (Building 380).
I obtained my Ph.D. (2006 - 2011) in statistics at UC Berkeley ,
under the supervision of Prof. Yuval Peres .
In summer 2011, I was a temporary postdoc at U. Washington working with Prof. James Lee .
In summer 2010, I was an intern at MSR New England mentored by
Dr. Jennifer Chayes . Before coming to Berkeley, I earned my B.S. at School of Mathematical Sciences , Peking University .
My research interests are probability theory and statistical physics. I have been working on mixing times, random graphs, cover times and discrete Gaussian free fields.
Curriculum Vitae
pdf , ps .
Teaching
In fall 2011, I am teaching MATH 136/STAT219 and MATH 51 .
Papers (in reversed chronological order)
Extreme values for two-dimensional discrete Gaussian free field (with
O. Zeitouni ), submitted .
Persistence of iterated partial sums , (with
A. Dembo and F. Gao )
Annales de l' Institut Henri Poincare , to appear.
Glauber Dynamics for the mean-field Potts Model , (with
P. Cuff ,
O. Louidor ,
E. Lubetzky , Y. Peres and A. Sly ) submitted .
Anatomy of the giant component: The strictly supercritical regime , (with
E. Lubetzky and Y. Peres ) submitted .
Scaling window for mean-field percolation of averages , Annals of Probability, to appear.
On cover times for 2D lattices , Electronic Journal of Probability, to appear.
Exponential and double exponential tails for maximum of two-dimensional discrete Gaussian free field , submitted .
A sharp estimate for cover times on binary trees (with
O. Zeitouni ), Stochastic Processes and Applications, to appear.
Asymptotics of cover times via Gaussian free fields: bounded-degree graphs and general trees , submitted .
The Hitchhiker's Guide to Affiliation Networks: A Game-Theoretic Approach (with
C. Borgs ,
J. Chayes and B. Lucier ), ICS (2011) .
Cover times, blanket times, and majorizing measures , (with J. Lee and Y. Peres ), journal version to appear in Annals of Math , conference version at STOC (2011) .
The evolution of the cover time (with M. Barlow ,
A. Nachmias and Y. Peres ), Combinatorics, Probability and Computing, to appear.
Mixing time for the Ising model: a uniform lower bound for all graphs , (with Y. Peres ),
Annales de l' Institut Henri Poincare , to appear.
Mixing time of near-critical random graphs , (with
E. Lubetzky and Y. Peres ), Annals of Probability, to appear.
Diameters in supercritical random graphs via first passage percolation (with J.H. Kim ,
E. Lubetzky and Y. Peres ), Combinatorics, Probability and Computing, to appear.
Anatomy of a young giant component in the random graph (with J.H. Kim ,
E. Lubetzky and Y. Peres ), Random Structures and Algorithms, to appear.
Mixing time of critical Ising model on trees is polynomial in the height (with
E. Lubetzky and Y. Peres ), Communications in Mathematical Physics, 295 (2010), no. 1, 161-207.
Censored Glauber Dynamics for the mean field Ising Model (with
E. Lubetzky and Y. Peres ), Journal of Statistical Physics 137 (2009), no. 3, 407-458.
The mixing time evolution of Glauber dynamics for the mean-field Ising model (with
E. Lubetzky and Y. Peres ), Communications in Mathematical Physics, Volume 289, Number 2, July, 2009.
Total-variation cutoff in birth-and-death chains (with
E. Lubetzky and Y. Peres ), Probability Theory and Related Fields, 146 (2010), no. 1, 61-85.
Contact information
Department of Mathematics
#380 Sloan Hall
Stanford University
Stanford, CA 94305
Email: j i a n d i n g -at- m a t h -dot- s t a n f o r d -dot- e d u