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arXiv:2408.09079 [math.CA]AbstractReferencesReviewsResources

Catalan Numbers, Riccati Equations and Convergence

Yicheng Feng, Jean-Pierre Fouque, Tomoyuki Ichiba

Published 2024-08-17Version 1

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.

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