[Ml-stat-talks] Fwd: ORFE Colloquium: Steven Evans, Today at 4:30pm, Sherrerd Hall 101

Barbara Engelhardt bee at princeton.edu
Tue May 2 12:50:40 EDT 2017


Talk of interest today.


=== ORFE Colloquium Announcement ===

DATE:  Today, May 2, 2017

TIME:  4:30pm

LOCATION:  Sherrerd Hall, room 101

SPEAKER:  Steven Evans, University of California, Berkeley

TITLE:   Infinite Bridges for Rémy's Algorithm

ABSTRACT: An infinite bridge for a transient Markov chain is a Markov chain
that has the same backwards-in-time transition probabilities. Delineating
all the infinite bridges for a given Markov chain is equivalent to
describing all the ways it is possible to condition that Markov chain to
``do something at large times'' or, analytically, to describing the
Doob-Martin boundary of the state space. Rémy (1985) introduced a simple
tree-valued Markov chain that at step n produces a random tree which is
uniformly distributed over the rooted, planar, binary trees with n+1
leaves. We obtain a concrete description of the infinite bridges for this
Markov chain in terms of a certain class of real-trees (that is, tree-like
metric spaces) equipped with additional structure.

BIO: Steven Evans was born and raised in rural Australia. He received his
undergraduate education at the University of Sydney in Australia and his
PhD from the University of Cambridge in the United Kingdom. After a stint
working for the Commonwealth Bank of Australia and a post-doctoral position
at the University of Virginia he joined the faculty at the University of
California at Berkeley, where he has been ever since with positions in
Statistics, Mathematics, and Computational Biology. Evans' research is
primarily in probability and stochastic processes, with much of it
involving applications in population genetics, population dynamics, and
biodemography. He is a Fellow of the Institute of Mathematical Statistics,
a Fellow of the American Mathematical Society, and a Member of the National
Academy of Sciences.
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