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References

  1. Athreya, K. B. and Ney, P. E. (1972), Branching Processes. Springer-Verlag. Math. Review 51:9242
  2. Billingsley, P. (1968), Convergence of Probability Measures. Wiley & Sons. Math. Review 38:1718
  3. Billingsley, P. (1986), Probability and Measure, 2nd ed. Wiley & Sons Math. Review 87f:60001
  4. Breiman, L. (1968), Probability. Addison-Wesley Publ. Co. Math. Review 37:4841
  5. Carmona, R. A. and Molchanov, S. A. (1994), Parabolic Anderson problem and intermittency. AMS Memoir 518, Amer. Math.Soc. Math. Review 94h:35080
  6. Chow, Y. S. and Teicher, H. (1988), Probability Theory, 2nd ed. Springer-Verlag. Math. Review 89e:60001
  7. Dawson, D. A. and Fleischmann, K. (2000), Catalytic and mutually catalytic branching. pp. 145-170 in Infinite Dimensional Stochastic Ananlysis (Ph. Cl'ement, F. den Hollander, J. van Neerven and B. de Pagter eds.) Koninklijke Nederlandse Akademdie van Wetenschappen. Math. Review 2002f:60164
  8. Derman, C. (1955), Some contributions to the theory of denumerable Markov chains. Trans. Amer. Math. Soc. 79 , 541-555. Math. Review 17:50c
  9. Gärtner, J. and den Hollander,F. (2003) , Intermittancy in a dynamic random medium. In preparation, Math. Review number not available.
  10. Gärtner, J., König, W. and Molchanov, S. A. (2000), Almost sure asymptotics for the continuous parabolic Anderson model, Probab. Theory Rel. Fields 118 , 547-573. Math. Review 2002i:60121
  11. Harris, T. E. (1963), The Theory of Branching Processes. Springer-Verlag. Math. Review 29:664
  12. Ikeda, N. Nagasawa, M. and Watanabe, S. (1968a), Branching Markov processes I J. Math. Kyoto Univ. 8 part I, 233-278. Math. Review 38:764
  13. Ikeda, N. Nagasawa, M. and Watanabe, S. (1968a), Branching Markov processes II J. Math. Kyoto Univ. 8, 365-410. Math. Review 38:6677
  14. Jagers, P. (1975), Branching Processes with Biological Applications. Wiley & Sons. Math. Review 58:7890
  15. Klenke, A. (2000a), Longtime behavior of stochastic processes with complex interactions {rm (especially Ch. 3)}. Habilitations thesis, University Erlangen. Math. Review number not available.
  16. Klenke, A. (2000b), A review on spatial catalytic branching, pp. 245-263 in Stochastic Models, (L. G. Gorostiza and B. G. Ivanoff eds.) CMS Conference proceedings, vol. 26, Amer. Math. Soc. Math. Review 2002a:60142
  17. Molchanov, S. A. (1994), Lectures on random media, pp. 242-411 in Ecole d'Et'e de Probabilit'es de St Flour XXII, (P. Bernard ed.) Lecture Notes in Math, vol. 1581, Springer-Verlag. Math. Review 95m:60165
  18. Savits, T. H. (1969), The explosion problem for branching Markov processes. Osaka J. Math. 6, 375-395. Math. Review 43:8137
  19. Shnerb, N. M., Louzoun, Y., Bettelheim, E. and Solomon, S. (2000) The importance of being discrete: Life always wins on the surface Proc. Nat. Acad. Sciences 97 , 10322-10324. Math. Review number not available.
  20. Shnerb, N. M., Bettelheim, E., Louzoun, Y., Agam, O. and Solomon, S. (2001), Adaptation of autocatalytic fluctuations to diffusive noise Phys. Rev. E 63 , 021103. Math. Review number not available.
  21. Spitzer, F. (1976), Principles of Random Walk, 2nd ed. Springer-Verlag. Math. Review 52:9383
  22. Strassen, V. (1965), The existence of probability measures with given marginals. Ann. Math. Statist. 36 , 423-439. Math. Review 31:1693
  23. Tanny, D. (1977), Limit theorems for branching processes in a random environment. Ann. Probab. 5 , 100-116. Math. Review 54:14135


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