Symmetries and Integrability of Difference Equations

Symmetries and Integrability of Difference Equations

Lecture Notes of the Abecederian School of SIDE 12, Montreal 2016

Winternitz, Pavel; Rebelo, Raphael; Levi, Decio

Springer International Publishing AG

08/2018

435

Mole

Inglês

9783319859675

15 a 20 dias

682

Descrição não disponível.
Chapter 1. Continuous, Discrete and Ultradiscrete Painleve Equations.- Chapter 2. Elliptic Hypergeometric Functions.- Chapter 3. Integrability of Difference Equations through Algebraic Entropy and Generalized Symmetries.- Chapter 4. Introduction to Linear and Nonlinear Integrable Theories in Discrete Complex Analysis.- Chapter 5. Discrete Integrable Systems, Darboux Transformations and Yang-Baxter Maps.- Chapter 6. Symmetry-Preserving Numerical Schemes.- Chapter 7. Introduction to Cluster Algebras.- Chapter 8. An Introduction to Difference Galois Theory.- Chapter 9. Lectures on Quantum Integrability: Lattices, Symmetries and Physics.
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discrete Painleve equations;Orthogonal polynomials;Discrete integrable systems;Yang-Baxter maps;Difference Galois theory;multivariable difference equations;differential difference equations