Statistics at UC Berkeley

Insuk Seo, Seoul National University
Aug 21, 2019 3:10pm 1011 Evans Hall
In this presentation, we consider the random-cluster model which is a generalization of the standard edge percolation model. For the random-cluster model on lattice with periodic boundary condition, we prove that the Glauber dynamics exhibits a phenomenon known as the cut-off, especially for the very subcritical regime for all dimensions. This is a joint work with Shirshendu Ganguly.
Zbigniew J. Jurek, University of Wroclaw
Aug 28, 2019 3:10pm 1011 Evans Hall
In the 1980's, the Lévy class L of self-decomposable distributions was characterized as distributions of some special random integrals. That led to more general theory applied to other classes of distributions. Random integral mappings (some type of functionals of Lévy processes) are continuous homomorphisms between convolution sub-semigroups of ID (the semigroup of all infinitely...

Statistics at UC Berkeley: We are a community engaged in research and education in probability and statistics. In addition to developing fundamental theory and methodology, we are actively involved in statistical problems that arise in such diverse fields as molecular biology, geophysics, astronomy, AIDS research, neurophysiology, sociology, political science, education, demography, and the U.S. Census. We have forged strong interdisciplinary links with other departments and areas of study, particularly biostatistics, mathematics, computer science, and biology, and actively seek to recruit graduate students and faculty who can help to build and maintain such links. We also offer a statistical consulting service each semester.