
May Mei
Tue May 23, 2017
1:00 pm
In an award winning 2014 paper, Damanik, Fillman, and Gorodetski rigorously established a framework for investigating Schrodinger operators on the real line whose potentials are generated by ergodic subshifts. In the case of the Fibonacci subshift, they also described the asymptotic behavior in the large energy and small coupling settings when the...

Yuki Takahashi
Tue May 2, 2017
1:00 pm
We discuss an inverse theorem on the structure of pairs of discrete probability measures which has small amount of growth under convolution, and apply this result to selfsimilar sets with overlaps to show that if the dimension is less than the generic bound, then there are superexponentially close cylinders at all small enough scales. The results...

Yuki Takahashi
Tue Apr 25, 2017
1:00 pm
We discuss an inverse theorem on the structure of pairs of discrete probability measures which has small amount of growth under convolution, and apply this result to selfsimilar sets with overlaps to show that if the dimension is less than the generic bound, then there are superexponentially close cylinders at all small enough scales. The results...

Victor Kleptsyn
Tue Apr 11, 2017
1:00 pm
In the classical Polya’s urn process, there are balls of different colors in the urn, and one step of the process consists of taking out a random ball and it putting back together with one more ball of the same color. ("Ask a friend whether he’s using is A or B, and buy the same".)
It also can be modified by saying that the...

Victor Kleptsyn
Tue Apr 4, 2017
10:00 am
Given a planar domain on the rectangular grid, how many ways are there of tiling it by dominos (that is, by 1x2 rectangles)? And how does a generic tiling of a given domain look like?
It turns out that these questions are related to the determinantsbased formulas, and that likewise formulas appear in many similar situations. In this direction,...

Yuki Takahashi
Tue Mar 14, 2017
1:00 pm
We discuss an inverse theorem on the structure of pairs of discrete probability measures which has small amount of growth under convolution, and apply this result to selfsimilar sets with overlaps to show that if the dimension is less than the generic bound, then there are superexponentially close cylinders at all small enough scales. The results...

Yuki Takahashi
Tue Mar 7, 2017
1:00 pm
Recently there has been a remarkable progress in understanding projections of many concrete fractals sets and measures. In this talk we will discuss some of these results and techniques, and also some related open problems.