Largedeviations and martingales for a typed branching diffusion

Asterisque

Volumn 236, Issue , 1996, Pages 133-154

  Harris, S C ^a   Williams, D ^a  

^a UNIVERSITY OF BATH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0742301072     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article

References (11)

1. Champneys,A, Harris, S. C., Toland, J. F., Warren, J. & Williams, D (1995) Analysis, algebra and probability for a coupled system of reaction-diffusion equations, Phil. Trans. Roy. Soc. London (A), 350, 69-112.
2. Chan,T., Dean, D. S., Jansons, K. M. & Rogers, L. C. G. (1994) On polymer conformations in elongational flows. Comm. Math. Phys. 160, 239-257.
3. Chauvin,B. & Rouault, A. (1988) KPP equation and supercritical branching Brownian motion in the subcritical speed area. Application to spatial trees. Probab. Thy. Rel. Fields 80, 29 9-314.
4. Chauvin,B. & Rouault, A. (1990) Supercritical branching Brownian motion and K-P-P equation in the critical speed-area. Math. Nachr. 149, 41-59.
5. Donati-Martin,C. & Yor, M. (1991) Fubini's theorem for double Wiener integrals and the variance of the Brownian path. Ann. Inst. H. Poincaré 27, 2, 181-200.
6. Deuschel,J.-D. & Stroock, D. W. (1989) Large Deviations. Academic Press, Boston. Harris, S.C. (1995) Large deviations and martingales for a typed diffusion, 2 (In preparation).
7. Harris,S.C. & Williams, D. (1995) Large deviations and martingales for a typed diffusion, 3: at the critical temperature (In preparation).
8. Itô,K. & McKean, H.P. (1965) Diffusion Processes and their Sample Paths. Springer, Berlin.
9. McKean,H. P. (1975) Application of Brownian motion to the equation of Kolmogorov-Petrovskii-Piskunov. Comm. Pure Appl. Math. 28, 323-331.
10. Neveu,J. (1987) Multiplicative martingales for spatial branching processes. Seminar on Stochastic Processes (ed. E. Çinlar, K. L Chung and R. K. Getoor), Progress in Probability and Statistics 15. pp. 223-241. Birkhäuser, Boston.
11. Titchmarsh.,E. C. (1952) The Theory of Functions (second edition). Oxford University Press.