Nalini Joshi – författare

Discrete Painleve equations are nonlinear difference equations, which arise from translations on crystallographic lattices. The deceptive simplicity of this statement hides immensely rich mathematical properties, connecting dynamical systems, algebraic geometry, Coxeter groups, topology, special functions theory, and mathematical physics.This book necessarily starts with introductory material to give the reader an accessible entry point to this vast subject matter. It is based on lectures that the author presented as principal lecturer at a Conference Board of Mathematical Sciences and National Science Foundation conference in Texas in 2016. Instead of technical theorems or complete proofs, the book relies on providing essential points of many arguments through explicit examples, with the hope that they will be useful for applied mathematicians and physicists.

MATRIX is Australia’s residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1–4 weeks in duration.This book is a scientific record of the 14 research programs held at MATRIX in 2023, including combined events with the Mathematisches Forschungsinstitut Oberwolfach (MFO), and with the Research Institute for Mathematical Sciences Kyoto University (RIMS).

MATRIX is Australia’s residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1–4 weeks in duration.This book is a scientific record of the eight research programs held at MATRIX in the first half of 2024, including a tandem workshop with the Research Institute for Mathematical Sciences, Kyoto University (RIMS).

MATRIX is Australia’s residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1–4 weeks in duration.This book is a scientific record of the eight research programs held at MATRIX in the first half of 2024, including a tandem workshop with the Research Institute for Mathematical Sciences, Kyoto University (RIMS).

MATRIX is Australia’s residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1–4 weeks in duration.This book is a scientific record of the six research programs held at MATRIX in the second half of 2024, including a tandem workshop with the Mathematisches Forschungsinstitut Oberwolfach (MFO).