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Courses
- IMPIntroduction to Mathematical Physics
- TPTheory of Probability
- RAReal Analysis
- ASPApplied Stochastic Processes
- TMPTopics in Mathematical Physics
- SDEStochastic Differential Equations
- SPStochastic Processes
- PMProbability Math
- CIICalculus II
Grants
- Seminar on Stochastic Processes 2023
Principal Investigator (PI)
2023
$49.9K
Active - Large Scale Dynamics and Geometry in Stochastic Systems
Principal Investigator (PI)
2018
$377.0K
- Scaling Limits in Stochastic Systems
Principal Investigator (PI)
2018
$82.9K
- Scaling Limits in Stochastic Interacting Systems
Principal Investigator (PI)
2014
$355.6K
- Frontier Probability Days 2014
Principal Investigator (PI)
2014
$20.0K
- Connections Between Tagged Particles and Hydrodynamics in Some Interacting Systems
Principal Investigator (PI)
2011
$81.8K
Publications (57)
Recent
- Stick-breaking Stationary Measures in Multistate Promoter Stochastic Gene Expression Networks
2022
- Singular limit of an Allen-Cahn equation with nonlinear diffusion
2022
- Norm-Agnostic linear bandits
2022
- Motion by mean-curvature from Glauber-Kawasaki with speed change
2022
- Boundary behaviors, condensation, and effects of slow sites in zero-range systems
2022
- Constant-speed interface flow from unbalanced Glauber-Kawasaki dynamics
2022
- Gumbel laws in the symmetric exclusion process
2022
- Mean curvature interface limit from Glauber+Zero-range interacting particles
2022
- On a nonlinear SPDE derived from a hydrodynamic limit in a Sinai-type random environment
2022
- ON THE USE OF MARKOVIAN STICK-BREAKING PRIORS
2021
- Derivation of coupled KPZ-Burgers equation from multi-species zero-range processes.
2021
- Asymptotics of PDE in random environment by paracontrolled calculus
2021
- STICK-BREAKING PROCESSES, CLUMPING, AND MARKOV CHAIN OCCUPATION LAWS
2021
- Schauder estimate for quasilinear discrete PDE's
2021
- My friend and mentor, Thomas Liggett
2021
- Remarks on the range and multiple range of random walk up to the time of exit
2021
- On Hydrodynamic Limits of Young Diagrams
2020
- Approximating geodesics via random points
2019
- Optimal paths and large deviations of a tagged particle in TASEP
2019
- Hydrodynamic limits for long-range asymmetric interacting particle systems
2018
- CONSISTENCY OF MODULARITY CLUSTERING ON RANDOM GEOMETRIC GRAPHS
2018
- On Collisions Times of 'Self-Sorting' Interacting Particles in One-Dimension with Random Initial Positions and Velocities
2018
- Hydrodynamics for asymmetric long-range interacting particle systems
2018
- On collisions times of `self-sorting' interacting particles in one-dimension with random initial positions and velocities
2018
- On collisions times of elastic and inelastic particles in one-dimension with random initial positions and velocities
2017
- Consistency of modularity clustering of random geometric graphs
2016
- A scaling limit for the degree distribution in sublinear preferential attachment
2016
- Occupation times of long-range exclusion and connections to KPZ class exponents
2016
- On microscopic derivation of a fractional stochastic Burgers equation
2016
- Random walk distances in data clustering and applications
2013
- Large deviations for the degree structure in preferential attachment schemes
2013
- Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear zero-range processes
2013
- Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion
2013
- On the range, local times and periodicity of random walk on an interval
2011
- Connections between bernoulli strings and random permutations
2010
- A study of counts of bernoulli strings via conditional poisson processes
2009
- Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes
2009
- Large deviations for the leaves in some random trees
2009
- Growth of preferential attachment random graphs via continuous-time branching processes
2008
- On diffusivity of a tagged particle in asymmetric zero-range dynamics
2007
- Existence of the zero range process and a deposition model with superlinear growth rates
2007
- Occupation laws for some time-nonhomogeneous Markov chains
2007
- Superdiffusivity of occupation-time variance in 2-dimensional asymmetric exclusion processes with density ρ = 1/2
2006
- Erratum: Central limit theorems for additive functionals of the simple exclusion process (Annals of Probability (2006) 34:1 (427-428))
2006
- A martingale proof of dobrushin's theorem for non-homogeneous Markov Chains
2005
- Large deviations for a class of nonhomogeneous Markov chains
2005
- An equivalence of H sub -1 /sub norms for the simple exclusion process
2003
- Conditional survival distributions of Brownian trajectories in a one dimensional Piossonian environment
2003
- Transience of second-class particles and diffusive bounds for additive functionals in one-dimensional asymmetric exclusion processes
2003
- A clustering law for some discrete order statistics
2003
- On the asymptotics of discrete order statistics
2001
- On extremal measures for conservative particle systems
2001
- Diffusive limit of a tagged particle in asymmetric simple exclusion processes
2000
- Central limit theorems for additive functionals of the simple exclusion process
2000
- Spectral gap for zero-range dynamics
1996
- Spin depolarization decay rates in α-symmetric stable fields on cubic lattices
1996
- A central limit theorem for reversible exclusion and zero-range particle systems
1996