Catalan Numbers, Riccati Equations and Convergence

Authors

  • Yicheng Feng University of California Santa Barbara
  • Jean-Pierre Fouque University of California Santa Barbara
  • Tomoyuki Ichiba University of California Santa Barbara

DOI:

https://doi.org/10.14738/aivp.124.17471

Keywords:

Catalan functions, Riccati equation for periodic network, Stochastic differential games for infinitely many players

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.

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Published

2024-08-25

How to Cite

Feng, Y., Fouque, J.-P., & Ichiba, T. (2024). Catalan Numbers, Riccati Equations and Convergence. European Journal of Applied Sciences, 12(4), 407–418. https://doi.org/10.14738/aivp.124.17471

Issue

Vol. 12 No. 4 (2024): European Journal of Applied Sciences

Section

Articles

License

Copyright (c) 2024 Yicheng Feng, Jean-Pierre Fouque, Tomoyuki Ichiba

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.