The Hausdorff measure of the closed support of super-brownian motion

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1. D.A. Dawson and K.J. Hochberg, The Carrying Dimension of a Stochastic Measure Diffusion, Ann. Probab., Vol. 7, 1979, pp. 693-703. Zbl0411.60084MR537215
2. D.A. Dawson, I. Iscoe and E.A. Perkins, Super-Brownian Motion: Path Properties and Hitting Probabilities, 1988, preprint. Zbl0692.60063
3. D.A. Dawson, I. Iscoe and E.A. Perkins, The Historical Process of a Super-Process, 1989, in preparation. Zbl0692.60063
4. E.B. Dynkin, Three Classes of Infinite Dimensional Diffusions, 1988, preprint. Zbl0683.60040MR1013934
5. S.N. Ethier and T.G. Kurtz, Markov Pocesses: Characterization and Convergence, John Wiley, New York, 1986. Zbl0592.60049MR838085
6. T.E. Harris, The Theory of Branching Processes, Springer, Berlin, 1963. Zbl0117.13002MR163361
7. N. Konno and T. Shiga, Stochastic Differential Equations for Some Measure-valued Diffusions, to appear in Prob. Theory and Related Fields, 1988. Zbl0631.60058MR958288
8. P. Lévy, La mesure de Hausdorff de la courbe du mouvement brownien, Giorn. Ist. Ital. Attuari., Vol. 16, 1953, pp. 1-37. Zbl0053.10101MR64344
9. E.A. Perkins, A Space-Time Property of a Class of Measure-Valued Branching Diffusions, Trans. Amer. Math. Soc., Vol. 305, 1988 a, pp. 743-795. Zbl0641.60060MR924777
10. E.A. Perkins, Polar Sets and Multiple Points for Super-Brownian Motion, 1988 b, preprint. Zbl0721.60046
11. M. Reimers, One Dimensional Stochastic Partial Differential Equations and the Branching Measure Diffusion, to appear in Prob. Theory and Related Fields, 1988. Zbl0651.60069MR983088
12. S. Roelly-Coppoletta, A Criterion of Convergence of Measure-Valued Processes: Application to Measure Branching Processes. Stochastics, Vol. 17, 1986, pp. 43-65. Zbl0598.60088MR878553
13. C.A. Rogers, Hausdorff Measures, Cambridge Univ. Press, Cambridge, 1970. Zbl0204.37601MR281862
14. A.V. Skorokhod, Limit Theorems for Stochastic Processes, Theor. Prob. Appl., Vol. 1, 1956, pp. 261-290. Zbl0074.33802
15. S.J. Taylor, The Exact Hausdorff Measure of the Sample Path for Planar Brownian Motion, Proc. Cambridge Philos. Soc., Vol. 60, 1964, pp. 253-258. Zbl0149.13104MR164380
16. S. Watanabe, A Limit Theorem of Branching Processes and Continuous State Branching Processes, J. Math. Kyoto Univ., Vol. 8, 1968, pp. 141-167. Zbl0159.46201MR237008

1. Edwin A. Perkins, S. James Taylor, The multifractal structure of super-brownian motion
2. Y. Le Jan, Superprocesses and projective limits of branching Markov process