The dynamics of schelling-type segregation models and a nonlinear graph laplacian variational problem

Advances in Applied Mathematics

Volumn 27, Issue 1, 2001, Pages 17-40

  Pollicott, Mark ^a   Weiss, Howard ^b  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

Discrete Laplacian; Isoperimetric inequality; Nonhomogeneous variational problem; Nonlinear variational problem; Schelling segregation model

Indexed keywords

EID: 0035402498     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1006/aama.2001.0722     Document Type: Article

References (15)

1. Chavel I. Eigenvalues in Riemannian Geometry. 1984;Academic Press, San Diego.
2. Chung R. K. Spectral Graph Theory. 1997;Amer. Math. Soc. Providence.
3. Cvetkovic D., Rowlinson P., Simic S. Eigenspaces of Graphs. 1997;Cambridge Univ. Press, Cambridge.
4. Epstein J., Axtell R. Growing Artificial Societies. 1996;Brookings Institution Press and MIT Press, Cambridge.
5. Fernandez R., Fröhlich J., Sokal A. Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory. 1992;Springer-Verlag, New York/Berlin.
6. Gaylord R., D’Andria L. Simulating Society. 1998;Springer-Verlag, New York/Berlin.
7. Kawasaki K. Kinetics of Ising models. Doob C. Phase Transitions and Critical Phenomena. 1972;Academic Press, San Diego.
8. Klugman P. The Self-Organizing Economy. 1996;Blackwell Sci. Oxford.
9. Liggett K. Interacting Particle Systems. 1985;Springer-Verlag, New York/Berlin.
10. Lee T., Yang C. Statistical theory of equations of state and phase transitions. Phys. Rev. 87:1952;404-419.
11. Schelling T. Models of segregation. Amer. Econom. Rev. 59:1969;488-493.
12. Schelling T. On the ecology of micromotives. The Public Interest. 25:1971;61-98.
13. Schelling T. Dynamic models of segregation. J. Math. Soc. 1:1971;143-186.
14. Schelling T. Micromotives and Macro Behavior. 1978;Norton, New York.
15. Vandell K., Harrison B. Racial transition among neighbourhoods: A simulation model incorporating institutional parameters. J. Urban Econom. 5:1978;441-470.