Probability

Probability

Our probability research group has been renowned since the 1950s, having included major 20th century figures such as David Blackwell, David Freedman, and Michel Loeve.  As well as its historic connection with statistics, in the 21st century probability has much extended its role as a key bridge between theoretical and applied mathematics.

Current faculty  research interests include the theory of algorithms, phylogenetic trees, continuous and discrete statistical physics models, combinatorial mathematics, continuum limits of discrete random structures, and distributional properties of (mathematical) Brownian motion.  

The majority of this research is collaborative with researchers from other areas of the mathematical sciences, across a broad theory - applied spectrum. 

Researchers

David Aldous

analysis of algorithms, applied probability, complex networks, entropy, mathematical probability, phylogenetic trees, random networks, spatial networks, popularization of probability

Steve Evans

large random combinatorial structures, random matrices, superprocesses & other measure-valued processes, probability on algebraic structures -particularly local fields, applications of stochastic processes to biodemography, mathematical finance, population genetics, …

Shirshendu Ganguly

models of percolation, phase transitions in statistical mechanics, mixing time of Markov chains, random walk on graphs, counting problems in non-linear sparse settings

Alan Hammond

statistical mechanics, studied rigorously via modern techniques from mathematical probability

Michael Klass

statistics, mathematics, probability theory, combinatorics independent random variables, iterated logarithm, tail probabilities, functions of sums

Photo of Jim Pitman

fragmentation, statistics, mathematics, Brownian motion, distribution theory, path transformations, stochastic processes, local time, excursions, random trees, random partitions, processes of coalescence

Alistair Sinclair

algorithms, applied probability, statistics, random walks, Markov chains, computational applications of randomness, Markov chain Monte Carlo, statistical physics, combinatorial optimization

Bern Sturmfels

mathematics, combinatorics, computational algebraic geometry