Probability and Statistics

Major Research Projects

Prof. Robert Adler:

Random fields.

Study of the geometrical structure of random processes on manifolds and other general state spaces . These have applications to the analysis of fMRI and EEG brain images as well as a number of other areas.

Diffusion of shape

Global spatial geometry of temporally developing random systems, including random flows and the solutions of stochastic partial differential equation.

Prof. Ayala Cohen:

Statistical Methods for the Analysis of Hierarchical Data

Applications of modern statistical methods and development of new methods, particularly multivariate analysis and graphical methods.

The Analysis of Longitudinal Count Data

Statistical applications in bio-medicine, survival analysis and behavioral sciences.

Prof. Paul Feigin:

Methodology and Implementation of Data Mining Techniques

Scope for both theoretical work on evaluating, criticizing and approving currently used or available methodologies, as well as applied work on a particular project, or possibly, designing new "front ends" or modules for available software.

Statistical Genetics

Statistical inference from genomic studies such as association studies, including issues of sub-population structure and multiple comparisons. Statistics in pharmacogenomics.

Topics in Biostatistics (especially related to clinical trials)

Prof. Dima Ioffe:

Random fields and interacting particle systems.

Gibbs fields, large scale behaviour and scaling limits for the random fields with microscopic interactions and associated interacting particle systems in the context of limiting laws of the probability theory and stochastic processes.

Statistical mechanics and probabilistic problems of phase segregation.

Phase transitions, emergence of deterministic patterns from large random systems, equilibrium crystal shapes and related phenomenon of metastability for stochastic dynamics

Percolation, random walks in random environments, homogenization theory.