EPSRC Fellow and Professor in Mathematics, Professor Andy Hone, from the School of Mathematics, Statistics and Actuarial Science (SMSAS) at the University of Kent, spoke at the Tsinghua Sanya International Mathematics Forum.
Andy presented a talk on ‘Continued Fractions and Nonlinear Recurrences’ at a meeting held in Hainan, China, on Asymptotic, Algebraic and Geometric Aspects of Integrable Systems in April.
Abstract:
Three-term linear recurrences are a central part of the theory of continued fractions, in description of convergents, as well as being a feature of orthogonal polynomials. This talk will consider some examples of nonlinear recurrences associated with continued fractions. In the setting of the real numbers, some new examples of transcendental numbers with an explicit continued fraction expansion will be provided. The case of function fields associated with algebraic curves will also be mentioned, pointing out the connection with certain discrete integrable systems, Hankel determinants and orthogonal polynomials.
Click here for more information about the Tsinghau Sanya International Mathematics Forum.
Professor Andy Hone
Professor of Mathematics
Andy is a Professor of Mathematics and is currently on a five-year EPSRC Established Career Fellowships (2015-2020) working on the project, ‘Cluster algebras and discrete dynamics over finite fields’. His research interests include discrete and continuous integrable systems, cluster algebras, dynamics over finite fields, coherent structures in PDEs, Painlevé equations, and solvable models in physics and biology.