This comprehensive introduction to the finite Toda lattice establishes its universality as an eigenvalue algorithm on random matrices. Including a new perspective that does not use the Hamiltonian structure, this is an engaging read for researchers looking to understand the confluence of integrable systems and integrable probability.
This comprehensive introduction to the finite Toda lattice establishes its universality as an eigenvalue algorithm on random matrices. Including a new perspective that does not use the Hamiltonian structure, this is an engaging read for researchers looking to understand the confluence of integrable systems and integrable probability.
Percy Deift is Silver Professor of Mathematics at New York University. He is a Fellow of the American Mathematical Society, a member of the American Academy of Arts and Sciences, a member of the National Academy of Sciences and a member of the American Academy of Sciences and Letters. He is a winner of the George Pólya Prize, a Guggenheim Fellow and a winner of the Henri Poincare Prize.
Inhaltsangabe
1. Introduction 2. Hamiltonian mechanics and integrable systems 3. The Toda lattice 4. Toda without Hamiltonian structure 5. Random matrix ensembles 6. Universality for the Toda algorithm References Notation and Abbreviations Index.
1. Introduction 2. Hamiltonian mechanics and integrable systems 3. The Toda lattice 4. Toda without Hamiltonian structure 5. Random matrix ensembles 6. Universality for the Toda algorithm References Notation and Abbreviations Index.
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