Proceedings of the National Academy of Sciences of the United States of America

About the PNAS Member Editor
Name Aldous, David
Location University of California, Berkeley
Primary Field Applied Mathematical Sciences
 Research Interests
My career research field is mathematical probability. Early work studied mixing times for Markov chains, now a large subject because of connections with the theory of algorithms; structure theory for exchangeable arrays, a topic recently rejuvenated by unexpected uses in pure mathematics; and the Poisson Clumping Heuristic, a method for writing down first-order approximations in a wide range of "generalized extrema" problems within applied probability. Subsequently a central theme has been the study of large finite random structures, obtaining asymptotic behavior as the size tends to infinity via consideration of some suitable infinite random structure. This methodology was used to study continuum random trees, models of coalescence. and the structure of solutions to hard combinatorial optimization problems over random data. More recently I have studied random spatial networks. Separately, I have recently become interested in articulating critically what mathematical probability says about the real world.

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