Paul
Jung
Assistant
Professor of Mathematics
Email:
paulclutterjung@cluttergmail.com (remove the clutter)
Math
3020 Introduction to Probability and Statistics
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Fun/Useful Links:
What’s
going on in the world today?
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My
primary area of research is probability theory. Within this field my interests
include fractional Brownian motion, stable processes, and topics in statistical
mechanics such as interacting particle systems, percolation, and Coulomb
systems. Below are some papers and works in progress.
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Papers:
On
invariant measures of the exclusion process and related processes. Ph.
D. Dissertation, UCLA, June 2003.
Extremal
reversible measures for the exclusion process. Journal
of Statistical Physics, July 2003.
Perturbations of the symmetric exclusion process. Markov
Processes and Related Fields, 2004 Issue 4.
The critical value of the contact
process with added and removed edges. Journal
of Theoretical Probability, October 2005.
The noisy voter-exclusion process. Stochastic
Processes and Their Applications, December 2005.
Two phase transitions for the contact
process on small worlds. with R. Durrett, Stochastic
Processes and Their Applications, March 2007.
On the critical behavior at
the lower phase transition of the contact process. with
M. Aizenman, Latin American Journal of Probability and Mathematical Statistics,
2007.
Symmetry
breaking in quasi-1D Coulomb systems. with M. Aizenman and S. Jansen, To
appear in Annales Henri Poincare.
Indicator
fractional stable motions. To appear in Electronic Communications in
Probability.