Nobutaka Nakazono

Nobutaka NakazonoI am a Postdoctoral Research Associate in integrable and near-integrable nonlinear systems at the University of Sydney. This position is supported by Prof. Nalini Joshi’s Georgina Sweet Australian Laureate Fellowship grant.

You can read my CV and my complete publications list.

Research

I have studied discrete Painlevé equations, especially their special solutions, reductions, Weyl group symmetries and so on. My current interests are the relations between ABS equations and discrete Painlevé equations, general solutions to discrete Painlevé equations and Lax pairs of discrete Painlevé equations.

Recent publications

Joshi, N. and Nakazono, N. (2016) Lax pairs of discrete Painleve equations: (A2+A1)(1) case. Proceedings of the Royal Society A472: 20160696.

Joshi, N., Nakazono, N.; Shi, Y. (2016) Lattice equations arising from discrete Painlevé systems II. A4(1) case. Journal of Physics A. Mathematical and Theoretical. 49: 495201.

Joshi, N., Nakazono, N.; Shi, Y. (2016) Reflection groups and discrete integrable systemsJournal of Integrable Systems1(1), 1-37.

Atkinson, J., Howes, P., Joshi, N. and Nakazono, N. (2016) Geometry of an elliptic-difference equation related to Q4. The Journal of the London Mathematical Society12: 763-784

Nakazono, N. (2016) Hypergeometric τ functions of the q-Painlevé Systems of types A4(1) and (A1+A’1)(1). Symmetry, Integrability and Geometry: Methods and Applications12: 051

Joshi, N., Nakazono, N. and Shi, Y. (2015) Lattice equations arising from discrete Painlevé systems. I. (A2+A1)(1) and (A1+A’1)(1) casesJournal of Mathematical Physics56092705.

Please see my complete publications history.

Other documents

I gave a talk at the summer school of SIDE-X 2012, I invite you to download my lecture notes: On the affine Weyl group, τ-functions and special solutions of discrete Painlevé equations (pdf).

TRAVEL IN 2017

January/February: ANZAMP in Kiama, NSW
March: Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics in Vienna, Austria.
Visiting Prof Claude Viallet at the Laboratoire de physique théorique et hautes énergies, Paris.
Attending The Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory in Atlanta, USA.

Contact

nobua.n1222 [at] gmail.com

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