Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, June 09, 2015, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Jan Hazla

Same-set expansion on correlated probability spaces

I will present a solution to the following problem:

Let S := {0, 1, 2}^n and let A be a subset of S such that |A| / |S| = mu. Sample a random vector X = (X_1, ..., X_n) uniformly from S. Sample another random vector Y = (Y_1, ..., Y_n) such that for each coordinate i independently Y_i is uniform in { X_i, X_i+1 (mod 3) }.

Show that Pr[ X in A and Y in A] >= f(mu) > 0, i.e., a lower bound that is independent of n.

I will explain the context of the problem and outline techniques needed to solve it.

Joint work with Thomas Holenstein and Elchanan Mossel.

Upcoming talks     |     All previous talks     |     Talks by speaker     |     Upcoming talks in iCal format (beta version!)

Previous talks by year:   2023  2022  2021  2020  2019  2018  2017  2016  2015  2014  2013  2012  2011  2010  2009  2008  2007  2006  2005  2004  2003  2002  2001  2000  1999  1998  1997  1996  

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M   |   admin login