David Jekel's Research
David Jekel's homepage
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. They are a work in progress, and several more chapters are planned. I welcome editorial feedback. Last updated November 19, 2018.
Papers and Preprints
- An Elementary Approach to Free Entropy Theory for Convex Potentials.
Preprint May 2018
Talk Slides--shorter, less technical
Talk Slides--longer, more technical
- Operator-valued Chordal Loewner Chains and Non-Commutative Probability.
Preprint November 2017
- 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