The three problems referred to in the title originate in the
theory of von Neumann algebras, C* algebras, and quantum
information theory respectively. Each of them has been a deep
long-standing open problem in its respective area. Surprisingly,
the...
Black holes are expected to exhibit universal 'random matrix'
behavior at late times, indicative of quantum chaos. The
approach to a late-time plateau in the spectral form factor
(SFF) is a probe of this behavior. In this talk we study the SFF
in...
In the first story we wonder about the ubiquity of the
free field and look at a few characterisation theorems. In the
second story we discuss the mutually benefiting relationship
between the discrete free field and the O(N) spin model. Finally,
in...
In this talk we discuss the existence of a new type of rigidity
of symplectic embeddings coming from obligatory intersections with
symplectic planes. This is based on a joint work with P.
Haim-Kislev and R. Hind.
I will explore the "Elusive Universe," where dark matter,
neutrinos, and gravity sculpt our observed nature, leaving many
open questions.
My work focuses on opening up new directions to answer these
puzzles. I will present two approaches:
1) Using...
We consider general two-dimensional autonomous velocity fields
and prove that their mixing and dissipation features are limited to
algebraic rates. As an application, we consider a standard cellular
flow on a periodic box, and explore potential...
This talk will sketch the history of academic study of China in
the U.S., beginning in 1920, with attention to how it differed from
European Sinology. I see it as a story with intersecting
trajectories, including U.S.-China relations and...
Complex dynamics explores the evolution of points under
iteration of functions of complex variables. In this talk I will
introduce into the context of complex dynamics, a new approximation
tool allowing us to construct new examples of entire...
Suppose you have a set S of integers from {1 , 2 , … , N} that
contains at least N / C elements. Then for large enough N , must S
contain three equally spaced numbers (i.e., a 3-term arithmetic
progression)?