David Jekel's Research
David Jekel's homepage
Papers and Preprints
- An Operad of Non-commutative Independences Defined by Trees.
(with Weihua Liu)
Preprint written January 2019
- An Elementary Approach to Free Entropy Theory for Convex Potentials.
Preprint submitted May 2018
Talk Slides--shorter, less technical
Talk Slides--longer, more technical
- Operator-valued Chordal Loewner Chains and Non-Commutative Probability.
Preprint submitted November 2017, revised November 2018
- Algebraic Properties of Generalized Graph Laplacians: Resistor Networks, Critical Groups, and Homological Algebra.
(With Avi Levy, Will Dana, Austin Stromme, Collin Litterell)
SIAM J. Discrete Math 32-2 (2018), pp. 1040-1110.
Final Version PDF
Notes on Operator-valued Noncommutative Probability
Operator-Valued Noncommutative Probability. (169 pages)
These notes are a systematic exposition / reference for results on free, boolean, and monotone independence, and they include a few new results as well. I welcome editorial feedback. Last updated November 19, 2018. Some material from these notes has been subsumed into the paper "Operad of Non-commutative Independences."