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Tightness for Maxima of Generalized Branching Random Walks
Tightness for Maxima of Generalized Random Walks
2011/1/18
We study generalized branching random walks, which allow time dependence and local dependence
between siblings. Under appropriate tail assumptions, we prove the tightness of Fn(· −Med(Fn)), whe...
Tightness of the recentered maximum of the two-dimensional discrete Gaussian Free Field
recentered maximum two-dimensional discrete Gaussian Free Field
2010/12/8
We consider the maximum of the discrete two dimensional Gaussian free field (GFF) in a box, and prove that its maximum, centered at its mean, is tight, settling a long–standing conjecture. The proof c...
A new sufficient condition for sum-rate tightness in quadratic Gaussian multiterminal source coding
sufficient condition sum-rate tightness quadratic Gaussian multiterminal source coding
2010/12/3
This work considers the quadratic Gaussian multiterminal (MT) source coding problem and provides a new sufficient condition for the Berger-Tung sum-rate bound to be tight. The converse proof utilizes ...