2016
Jan
12

# Dynamics & prob. [NOTE SPECIAL TIME!!], Yonatan Gutman (IMPAN) - Optimal embedding of minimal systems into shifts on Hilbert cubes

1:45pm to 2:45pm

## Location:

Manchester building, Hebrew University of Jerusalem, (Room 209)

In the paper "Mean dimension, small entropy factors and an

embedding theorem, Inst. Hautes Études Sci. Publ. Math 89 (1999)

227-262", Lindenstrauss showed that minimal systems of mean dimension

less than $cN$ for $c=1/36$ embed equivariantly into the Hilbert cubical

shift $([0,1]^N)^{\mathbb{Z}}$, and asked what is the optimal value

for $c$. We solve this problem by proving that $c=1/2$. The method of

proof is surprising and uses signal analysis sampling theory. Joint

work with Masaki Tsukamoto.

embedding theorem, Inst. Hautes Études Sci. Publ. Math 89 (1999)

227-262", Lindenstrauss showed that minimal systems of mean dimension

less than $cN$ for $c=1/36$ embed equivariantly into the Hilbert cubical

shift $([0,1]^N)^{\mathbb{Z}}$, and asked what is the optimal value

for $c$. We solve this problem by proving that $c=1/2$. The method of

proof is surprising and uses signal analysis sampling theory. Joint

work with Masaki Tsukamoto.