Dynamical Systems Seminar

Title: Solvability of Linear Equations within Weak-Mixing Sets
Speaker: Alexander Fish
Speaker Info: Hebrew University
Brief Description:
Special Note:

We introduce a new class of "random" subsets of the natural numbers, namely WM sets. This class is "big", for example, it contains normal sets (sets with a statistics of a normal infinite binary sequence). We prove necessary and sufficient conditions for systems of linear Diophantine equations to be solvable in any WM subset of N. Using these conditions, we give a new proof of the fact that any regular for finite partitions system (Rado's system) is solvable in every WM set.
Date: Tuesday, February 21, 2006
Time: 3:00pm
Where: Lunt 105
Contact Person: Prof. Bryna Kra
Contact email: burns@math.northwestern.edu
Contact Phone: 847-491-3013
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