My Research
A complete list of my preprints and publicationsMy main area of research is processes in random environments. Most of my research has been in random walks in random environments, but recently I have become interested in other processes (such as interacting particle systems) in random environments. I'm also interested in other non-classical random walks - especially the multi-excited random walk (also called the cookie random walk).
My Google Scholar Citation Profile.
My personal list of advice and resources for new researchers (grad students and undergrads).
Probability at Purdue
Current members of the probability group at Purdue University are- Rodrigo Banuelos
- Anirban DasGupta
- Burgess Davis
- Emanuel Indrei
- Takashi Owada
- Jonathon Peterson
- Herman Rubin
- Thomas Sellke
- Samy Tindel
- Mark Daniel Ward
PRiME: Purdue Research in Mathematics Experience. Summer REU program that I am co-directing with Edray Goins. I will be directing research projects in random walks during this program.
Conferences
- Together with Fabrice Baudoin, I organized a conference on stochastic analysis and related topics at Purdue University in May of 2015.
- Together with Firas Rassoul-Agha, I organized a conference on random environments at Cornell University in May of 2011.
Presentations
- Quenched Limit Laws for Transient, One-Dimensional RWRE
- A Random Walk Through Electrical Engineering
- Properties of the Annealed Large Deviation Rate Function for a Random Walk in Random Environment
- Thesis Presentation
- RWRE Current Process
- Non-classical Random Walks
- Bridges of Random Walks in a Random Environment
- Linear Algebra and the Bowl Championship Series
- Weak Quenched Limiting Distributions for One-dimensional RWRE
- The Contact Process on the Complete Graph with Random, Vertex-dependent, Infection Rates
- Large Deviations and Slowdown Asymptotics of Excited Random Walks
- Large Deviations for Random Walks in a Random Environment on a Strip
- Self-interacting Random Walks (Purdue Bridge to Research seminar)
- Extreme Slowdowns for Excited Random Walks
- The Mathematics of Ranking Sports Teams
- Hydrodynamic limits for directed traps and systems of independent RWRE
- Excited random walks in cookie environments with Markovian cookie stacks
- Functional limit laws for recurrent excited random walks
- Oscillations of quenched slowdown asymptotics for ballistic, one-dimensional RWRE