Interaction Models


Norman L. Biggs
Bok Engelsk 1977 · Electronic books.
Annen tittel
Utgitt
Cambridge : : Cambridge University Press, , 1977.
Omfang
1 online resource (109 p.)
Opplysninger
Description based upon print version of record.. - Cover; Title; Copyright; Contents; Chapter 1 Preview; 1.1 Apologia; 1.2 States on a graph; 1.3 Interaction models; 1.4 Physical background; 1.5 Transition points; Notes and references; Chapter 2 Methods; 2.1 Resonant models; 2.2 The transfer matrix; 2.3 Applications of the trace formula; 2.4 Correlation functions; Notes and references; Chapter 3 Duality; 3.1 Flows on a graph; 3.2 Dual models; 3.3 The algebraic duality theorem; 3.4 Planarity and duality; 3.5 Transition points for planar graphs; Notes and references; Chapter 4 Expansions; 4.1 Graph types; 4.2 The subgraph counting problem. - 4.3 The cluster expansion4.4 Subgraph expansions revisited; 4.5 Vertex-transitive graphs; Notes and references; Chapter 5 Prospects; 5.1 Symmetry and dimensionality; 5.2 The eigenvalue method in two dimensions; 5.3 Existence of long-range order; Notes and references; Appendix A: Distributive identities; Appendix B: The Perron-Frobenius theorem; Index. - This book is based on a set of lectures given to a mixed audience of physicists and mathematicians.
Emner
Sjanger
Dewey
ISBN
0521217709

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