2 citations · 2 across the 2 of their papers we have counts for
6 papers
Property (T) and strong -boundedness for von Neumann algebras
Ben Hayes, David Jekel, Srivatsav Kunnawalkam Elayavalli
The notion of strong 1-boundedness for finite von Neumann algebras was introduced by Jung in arXiv:math/0510576 . This framework provided a free probabilistic approach to study rig…
Tree convolution for probability distributions with unbounded support
Ethan Davis, David Jekel, Zhichao Wang
We develop the complex-analytic viewpoint on the tree convolutions studied by the second author and Weihua Liu in "An operad of non-commutative independences defined by trees" (Dis…
A random matrix approach to absorption in free products
Ben Hayes, David Jekel, Brent Nelson +1
This paper gives a free entropy theoretic perspective on amenable absorption results for free products of tracial von Neumann algebras. In particular, we give the first free entrop…
Conditional Expectation, Entropy, and Transport for Convex Gibbs Laws in Free Probability
David Jekel
Let be self-adjoint non-commutative random variables distributed according to the free Gibbs law given by a sufficiently regular convex and semi-concave potential…
An Operad of Non-commutative Independences Defined by Trees
David Jekel, Weihua Liu
We study -ary non-commutative notions of independence, which are given by trees and which generalize free, Boolean, and monotone independence. For every rooted subtree $\mathcal…
An Elementary Approach to Free Entropy Theory for Convex Potentials
David Jekel
We present an alternative approach to the theory of free Gibbs states with convex potentials. Instead of solving SDE's, we combine PDE techniques with a notion of asymptotic approx…