Wenpin Tang's Home Page

About me

I am a fifth-year PhD student at Department of Statistics, UC Berkeley. My advisor is Jim Pitman . Before coming to Berkeley, I obtained an engineer diploma (Diplôme d'ingénieur) from Ecole Polytechnique, France.

Research

My research interests are probability theory and its applications. I have been working on paths embedding in Brownian motion (with Jim Pitman ), and paths intersection of Brownian motion (with Steve Evans and Jim Pitman ). I also solved a conjecture of David Aldous on Up the River problem (with Li-Cheng Tsai ).

Currently, I am working on the extrema of random walks and Brownian motion (with Jim Pitman ). Another work on the convergence rate of semi-discrete random polymers (with Mykhaylo Shkolnikov and Andrey Sarantsev ) is in progress.

More generally, I am interested in topics as real random trees, branching processes and interacting particle systems.

CV

Publications

1. The Vervaat transform of Brownian bridges and Brownian motion .
with Titus Lupu, Jim Pitman. Electro. J. Probab 20 (2015) no.51, 1-31.

2. Patterns in random walks and Brownian motion .
with Jim Pitman. Séminaire de probabilité XLVII - In Memoriam Marc Yor (2015), 49-88.

3. The Slepian zero set, and Brownian bridge embedded in Brownian motion by a spacetime shift .
with Jim Pitman. Electro. J. Probab 20 (2015) no.61, 1-28.

4. The spans in Brownian motion .
with Steve Evans and Jim Pitman. To appear Annales de l’Institut Henri Poincaré.

5. Tree formulas, mean first passage times and Kemeny's constant of a Markov chain .
with Jim Pitman. To appear Bernoulli.

Preprints

1. Optimal surviving strategy for drifted Brownian motions with absorption .
with Li-Cheng Tsai. Under revision Annals of Probability.

2. Transporting random measures on the line and embedding excursions into Brownian motion .
with Günter Last and Hermann Thorisson. Submitted to Annales de l’Institut Henri Poincaré.

3. The argmin process of Brownian motion and Brownian extrema of a given length .
with Jim Pitman. Submitted to Probability Theory and Related Fields.

4. The argmin process of random walks and Lévy processes .
with Jim Pitman. Submitted to Electron. Commun. Probab.

5. Regenerative random permutations of integers .
with Jim Pitman.

Recent talks

Sept, 2013: Berkeley, SGSA student seminar .
July, 2013: Saint-Flour, 43rd probability summer school.
June, 2014: San Diego, Combinatorial Stochastic Processes: A conference in celebration of Jim Pitman's 65th birthday .
July, 2014: Saint-Flour, 44th probability summer school.
Oct, 2014: Berkeley, Student Probability/PDE seminar .
Feb, 2015: Berkeley, Probability seminar .
Feb, 2015: Davis, Mathematical physics and probability seminar .
Mar, 2016: Berkeley, Berkeley–Columbia Meeting in Engineering and Statistics .
July, 2016: Edmonton, IMS-FIPS Workshop .
Mar, 2017: Berkeley, Probability seminar .
Mar, 2017: Los Angelos, Probability seminar .

Teaching

This semester, I am serving as a teaching assistant for Stat 205A taught by David Aldous . Here is the link to the course.
In Summer 2016, I served as the instructor for Stat 134. I also worked as a teaching assistant for Stat 205A (Fall 2013, Fall 2014) taught by David Aldous , and Stat 205B taught by Steve Evans (Spring 2013, Spring 2014, Spring 2015).