Configurational transition in a Fleming-Viot-type model and probabilistic interpretation of Laplacian eigenfunctions

Journal of Physics A: Mathematical and General

Volumn 29, Issue 11, 1996, Pages 2633-2642

  Burdzy, Krzysztof ^a   Hołyst, Robert ^b   Ingerman, David ^a   March, Peter ^c  

^a UNIVERSITY OF WASHINGTON   (United States)

^b INSTITUTE OF PHYSICAL CHEMISTRY   (Poland)

^c OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1842527530     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/11/004     Document Type: Article

References (16)

1. Berlekamp E R, Conway J H and Guy R K 1982 Winning Ways for Your Mathematical Plays vol 2 (New York: Academic)
2. Wolfram S 1986 Theory and Application of Cellular Automata (Singapore: World Scientific)
3. Sales T R M 1993 Phys. Rev. E 48 2418
4. Lewenstein M, Nowak A and Latané B 1992 Phys. Rev. A 45 763
5. Strobeck C and Morgan K 1978 Genetics 88 829
6. Ethier S N and Kurtz T G 1993 SIAM J. Control Optim. 31 345
7. Zhou J, Murthy G and Redner S 1992 J. Phys. A: Math. Gen. 25 5889
8. Burlatsky S F and Pronin K A 1989 J. Phys. A: Math. Gen. 22 531
9. Murray J D 1989 Mathematical Biology (Berlin: Springer)
10. Mandelbrot B B 1982 The Fractal Geometry of Nature (New York: Freeman)
11. Dawson D A 1993 Measure-valued Markov processes Ecole d'été de probabilités de Saint-Flour XXI (1991) (Lecture Notes in Mathematics 1541) ed P L Hennequin (New York: Springer) pp 2-260
12. Perkins E 1992 Prob. Theor. Rel. Fields 94 189
13. Port S and Stone C 1978 Brownian Motion and Classical Potential Theory (New York: Academic)
14. Burdzy K and March P forthcoming paper
15. Courant R and Hilbert D 1953 Methods of Mathematical Physics vol 1 (New York: Interscience) section V.5.4
16. Ethendge A and March P 1991 Prob. Theor. Rel. Fields 89 141