Catalan Numbers, Riccati Equations and Convergence
Abstract
We analyze both finite and infinite systems of Riccati equations derived from stochastic differential games on infinite networks. We discuss a connection to the Catalan numbers and the convergence of the Catalan functions by Fourier transforms.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2024
- DOI:
- 10.48550/arXiv.2408.09079
- arXiv:
- arXiv:2408.09079
- Bibcode:
- 2024arXiv240809079F
- Keywords:
-
- Mathematics - Classical Analysis and ODEs;
- Mathematics - Probability;
- 34D05 91A15 60H30 11B83
- E-Print:
- 9 pages