Discrete Complex Analysis and Probability
Stanislav Smirnov
TL;DR
This paper explores discretizations of complex analysis and their applications to probability and mathematical physics, building on recent collaborative research.
Contribution
It introduces new discretization methods of complex analysis with potential applications in probability and physics.
Findings
Discretizations of complex analysis are feasible and useful.
Applications to probability theory are demonstrated.
Connections to mathematical physics are established.
Abstract
We discuss possible discretizations of complex analysis and some of their applications to probability and mathematical physics, following our recent work with Dmitry Chelkak, Hugo Duminil-Copin and Cl\'ement Hongler.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.