People and Research

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

  1. Stochastic processes, optimal control theory.
  2. Diffusion limits and asymptotically optimal schemes for queueing models in heavy traffic.
  3. Large and moderate deviation analysis for stochastic networks, and its relation to control and differential games.
  4. Control theory and its relation to partial differential equations, especially HJB equations.

Omer Bobrowski – ECE

  1. Stochastic topology. More specifically – algebraic topology of random fields and complexes.
  2. Statistical theory for topological data analysis (TDA).
  3. Statistical models and applications for TDA.
  4. Probability and stochastic processes.

Nick Crawford – M

  1. Mathematical Physics. 
  2. Equilibrium and Non-equilibrium Statistical Mechanics.  
  3. Driven particle systems. 
  4. Classical Models of Anderson Localization/Diffusion. 
  5. Mass Generation in 2d Stat. Mech. 
  6. Higher Teichmuller Theory. 

Oren Louidor – DDS

  1. Logarithmically correlated fields and their extreme and large values.
  2. Interacting particle systems.
  3. Classical statistical mechanics models: Percolation, Ising, Potts, etc.
  4. Directed polymers.
  5. Mixing time.
  6. Random walks in random environment.

Emanuel Milman – M

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

Leonid Mytnik – DDS

  1. Stochastic partial differential equations.
  2. Measure-valued processes.
  3. Scaling limits of interacting particle systems.

Ross Pinsky – M

  1. Probabilistic approaches to spectral theoretical questions concerning second order elliptic operators.
  2. Markov diffusion processes.
  3. Nonlinear parabolic operators—blow-up/or global existence, largest solutions, uniqueness of positive solutions.
  4. Random permutations.
  5. Random walks with interactions.
  6. Probabilistic number theory.

Eviatar Procaccia – DDS

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

Ron Rosenthal – M

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

Adam Shwartz– ECE

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

Retired members

Robert Adler– ECE.

  1. Random fields.
  2. Stochastic geometry.
  3. Extremal theory for Gaussian processes.
  4. Topology of random systems and topological data analysis.

Haya Kaspi– DDS

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

Avishai Mandelbaum– DDS

  1. Queueing Theory and Science (Fluid, Diffusion and Strong Approximations; Time and State-dependent Models).
  2. Service Engineering of Services (Call/Contact Centers, Hospitals).
  3. Probability and Stochastic Processes (Multi-parameter Processes; Diffusion Processes, Stochastic Calculus; Weak Convergence).
  4. Statistics (Inference for Stochastic Processes; Data Analysis of Large Service Systems).
  5. Stochastic Control (Multiarmed Bandits; Control of Queueing Systems).

Eddy Mayer-Wolf – M

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

Ishay Weismann – DDS

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

In Memoriam

Baruch Granovsky – M

Dmitry Ioffe  – DDS

Moshe Zakai  – ECE