Catalan Numbers, Riccati Equations and Convergence
Classical Analysis and ODEs
2024-08-20 v1 Probability
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.
Cite
@article{arxiv.2408.09079,
title = {Catalan Numbers, Riccati Equations and Convergence},
author = {Yicheng Feng and Jean-Pierre Fouque and Tomoyuki Ichiba},
journal= {arXiv preprint arXiv:2408.09079},
year = {2024}
}
Comments
9 pages