Below is an alphabetical listing of all members of the group, with faculty affiliation (M=Mathematics, ECE = Electrical and Computer Engineering,

DDS = Data and Decision Sciences).

**Rami Atar **– ECE

- 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 **– ECE

- 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 Non-equilibrium Statistical Mechanics.
- Driven particle systems.
- Classical Models of Anderson Localization/Diffusion.
- Mass Generation in 2d Stat. Mech.
- Higher Teichmuller Theory.

**Oren Louidor **– DDS

- 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.

**Emanuel Milman **– M

- Isoperimetric, functional and concentration inequalities on weighted Riemannian manifolds.
- Bakry-Émery Curvature-Dimension condition and its consequences.
- Optimal Transport and the geometry of Wasserstein Space.
- Convexity in Statistical Mechanics.
- Metric Entropy and applications of Majorizing Measures Theorem.

**Leonid Mytnik **– DDS

- Stochastic partial differential equations.
- Measure-valued 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 operators—blow-up/or global existence, largest solutions, uniqueness of positive solutions.
- Random permutations.
- Random walks with interactions.
- Probabilistic number theory.

**Eviatar Procaccia **– DDS

- Geometry of random spatial processes, such as percolation, random interlacements and aggregation processes..
- Random walk on a fixed and random environment.

**Ron Rosenthal **– M

- Probability theory, analysis, mathematical physics and combinatorics.
- Models originating in statistical mechanics such as percolation, random walks in random environment and random matrices.
- Applications of probability theory and combinatorics to simplicial complexes.

**Adam Shwartz**– ECE

- Applications of stochastic processes, mostly to computer communications models.
- Large deviations, Markov decision processes, game theory.

## Retired members

**Robert Adler**– ECE.

- Random fields.
- Stochastic geometry.
- Extremal theory for Gaussian processes.
- Topology of random systems and topological data analysis.

**Haya Kaspi**– DDS

- Local times of Markov processes
- Permanental processes
- Measure valued fluids and diffusions associated with many servers queues.

**Avishai Mandelbaum**– DDS

- Queueing Theory and Science (Fluid, Diffusion and Strong Approximations; Time and State-dependent Models).
- Service Engineering of Services (Call/Contact Centers, Hospitals).
- Probability and Stochastic Processes (Multi-parameter 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).

**Eddy Mayer-Wolf **– M

- Stochastic Analysis and Malliavin Calculus in Wiener space.
- Stochastic Calculus of Variations of non-Gaussian measures.
- Coagulation and Fragmentation Processes.
- Random Walks in Random Environment.

**Ishay Weismann **– DDS

- Probability, Asymptotic Theory of Extreme-Values.
- Statistical Inference, Statistics of Extremes.
- Mathematical Models for Systems Reliability.