EVENT DETAILS AND ABSTRACT

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

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.