Below is an alphabetical listing of all members of the group, with faculty affiliation (M=Math, EE = Electrical Engineering, IE&M = Industrial Engineering and Management).
Robert Adler EE.
 Random fields.
 Stochastic geometry.
 Extremal theory for Gaussian processes.
 Topology of random systems and topological data analysis.
Rami Atar EE
 Stochastic processes, optimal control theory.
 Diffusion limits and asymptotically optimal schemes for queueing models in heavy traffic.
 Large and moderate deviation analysis for stochastic networks, and its relation to control and differential games.
 Control theory and its relation to partial differential equations, especially HJB equations.
Omer Bobrowski EE
 Stochastic topology. More specifically  algebraic topology of random fields and complexes.
 Statistical theory for topological data analysis (TDA).
 Statistical models and applications for TDA.
 Probability and stochastic processes.
Nick Crawford  M
 Mathematical Physics.
 Equilibrium and Nonequilibrium Statistical Mechanics.
 Driven particle systems.
 Classical Models of Anderson Localization/Diffusion.
 Mass Generation in 2d Stat. Mech.
 Higher Teichmuller Theory.
Boris Granovsky  M
 Random structures in combinatorics and statistical mechanics(limit shapes, Young diagrams)
 Processes of coagulationfragmentation on the set of integer partitions.
 Time dynamics of Markov chains arising in interacting particle systems and queueing systems.
Dmitry Ioffe IE&M
 Stochastic geometry of classical and quantum models of statistical mechanics.
 Phase transitions, phase segregation, interacting particle systems, metastability.
 Percolation, polymers and random walks in random environment.
Haya Kaspi IE&M
 Local times of Markov processes
 Permanental processes
 Measure valued fluids and diffusions associated with many servers queues
Oren Louidor IE&M
 Logarithmically correlated fields and their extreme and large values.
 Interacting particle systems.
 Classical statistical mechanics models: Percolation, Ising, Potts, etc.
 Directed polymers.
 Mixing time.
 Random walks in random environment.
Avishai Mandelbaum IE&M
 Queueing Theory and Science (Fluid, Diffusion and Strong Approximations; Time and Statedependent Models).
 Service Engineering of Services (Call/Contact Centers, Hospitals).
 Probability and Stochastic Processes (Multiparameter Processes; Diffusion Processes, Stochastic Calculus; Weak Convergence).
 Statistics (Inference for Stochastic Processes; Data Analysis of Large Service Systems).
 Stochastic Control (Multiarmed Bandits; Control of Queueing Systems).
 Isoperimetric, functional and concentration inequalities on weighted Riemannian manifolds.
 BakryĂ‰mery CurvatureDimension condition and its consequences.
 Optimal Transport and the geometry of Wasserstein Space.
 Convexity in Statistical Mechanics.
 Metric Entropy and applications of Majorizing Measures Theorem.
 Stochastic Analysis and Malliavin Calculus in Wiener space.
 Stochastic Calculus of Variations of nonGaussian measures.
 Coagulation and Fragmentation Processes.
 Random Walks in Random Environment.
Leonid Mytnik IE&M
 Stochastic partial differential equations.
 Measurevalued processes.
 Scaling limits of interacting particle systems.
Ross Pinsky M
 Probabilistic approaches to spectral theoretical questions concerning second order elliptic operators.
 Markov diffusion processes.
 Nonlinear parabolic operatorsblowup/or global existence, largest solutions, uniqueness of positive solutions.
 Random permutations.
 Random walks with interactions.

Probabilistic number theory.
Adam Shwartz  EE
 Applications of stochastic processes, mostly to computer communications models.
 Large deviations, Markov decision processes, game theory.
Ron Rosenthal  M
 Probability theory, analysis, mathematical physics and combinatorics.
 Applications of probability theory and combinatorics to simplicial complexes.
Galit YomTov  IE&M
 Staffing and routing in service systems.
 Behavioural Operations  how to incorporate human behaviour into queueing models and the operational implications of it.
 Queueing models for Healthcare systems.
 Optimising healthcare operations.
 Empirical analysis/modelling of service systems.