Catalan Numbers, Riccati Equations and Convergence

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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Publication Details

Journal
eScholarship (California Digital Library)
Published
2024-08-25
DOI
https://doi.org/10.14738/aivp.124.17471
Primary Topic
Stochastic processes and financial applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Catalan Numbers, Riccati Equations and Convergence

eScholarship (California Digital Library)
Stochastic processes and financial applications
article

Catalan Numbers, Riccati Equations and Convergence

article en

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.

eScholarship (California Digital Library)
University of California, Santa Barbara (US)
National Science Foundation, Engineering and Physical Sciences Research Council, Division of Mathematical Sciences
Reduced inequalities
Openalex Percentile: Top 53%
Stochastic processes and financial applications
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Catalan Numbers, Riccati Equations and Convergence · eScholarship (California Digital Library) (2024) | TGRS Research Map | TGRS