EE Student Information

The Department of Electrical Engineering supports Black Lives Matter. Read more.

• • • • •

EE Student Information, Spring & Summer Quarters 19-20: FAQs and Updated EE Course List.

Updates will be posted on this page, as well as emailed to the EE student mail list.

Please see Stanford University Health Alerts for course and travel updates.

As always, use your best judgement and consider your own and others' well-being at all times.

Probability Seminar presents "Maximum height of low-temperature 3D Ising interfaces"

Maximum height of low-temperature 3D Ising interfaces
Monday, September 30, 2019 - 4:00pm
Sequoia Hall Room 200
Reza Gheissari (UC Berkeley)
Abstract / Description: 

Consider the random surface given by the interface separating the plus and minus phases in a low-temperature Ising model in dimensions d ≥ 3. Dobrushin (1972) famously showed that in cubes of side-length n the horizontal interface is rigid, typically exhibiting orderone height fluctuations. We study the large deviations of this interface and obtain a shape theorem for its pillar, conditionally on it reaching an atypically large height. We use this to analyze the law of the maximum height of the interface, Mn: we prove that for every β large, Mn/ log n → cβ in probability, and (Mn−E[Mn])n forms a tight sequence. Moreover, even though the centered sequence does not converge, all its subsequential limits satisfy uniform Gumbel tail bounds. 


This is joint work with Eyal Lubetzky.