The Hausdorff measure of the closed support of super-brownian motion
Annales de l'I.H.P. Probabilités et statistiques, Tome 25 (1989) no. 2, pp. 205-224.
@article{AIHPB_1989__25_2_205_0,
     author = {Perkins, Edwin},
     title = {The {Hausdorff} measure of the closed support of super-brownian motion},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {205--224},
     publisher = {Gauthier-Villars},
     volume = {25},
     number = {2},
     year = {1989},
     mrnumber = {1001027},
     zbl = {0679.60053},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_1989__25_2_205_0/}
}
TY  - JOUR
AU  - Perkins, Edwin
TI  - The Hausdorff measure of the closed support of super-brownian motion
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 1989
SP  - 205
EP  - 224
VL  - 25
IS  - 2
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPB_1989__25_2_205_0/
LA  - en
ID  - AIHPB_1989__25_2_205_0
ER  - 
%0 Journal Article
%A Perkins, Edwin
%T The Hausdorff measure of the closed support of super-brownian motion
%J Annales de l'I.H.P. Probabilités et statistiques
%D 1989
%P 205-224
%V 25
%N 2
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPB_1989__25_2_205_0/
%G en
%F AIHPB_1989__25_2_205_0
Perkins, Edwin. The Hausdorff measure of the closed support of super-brownian motion. Annales de l'I.H.P. Probabilités et statistiques, Tome 25 (1989) no. 2, pp. 205-224. http://www.numdam.org/item/AIHPB_1989__25_2_205_0/

D.A. Dawson and K.J. Hochberg, The Carrying Dimension of a Stochastic Measure Diffusion, Ann. Probab., Vol. 7, 1979, pp. 693-703. | MR | Zbl

D.A. Dawson, I. Iscoe and E.A. Perkins, Super-Brownian Motion: Path Properties and Hitting Probabilities, 1988, preprint.

D.A. Dawson, I. Iscoe and E.A. Perkins, The Historical Process of a Super-Process, 1989, in preparation.

E.B. Dynkin, Three Classes of Infinite Dimensional Diffusions, 1988, preprint. | MR

S.N. Ethier and T.G. Kurtz, Markov Pocesses: Characterization and Convergence, John Wiley, New York, 1986. | MR | Zbl

T.E. Harris, The Theory of Branching Processes, Springer, Berlin, 1963. | MR | Zbl

N. Konno and T. Shiga, Stochastic Differential Equations for Some Measure-valued Diffusions, to appear in Prob. Theory and Related Fields, 1988. | MR | Zbl

P. Lévy, La mesure de Hausdorff de la courbe du mouvement brownien, Giorn. Ist. Ital. Attuari., Vol. 16, 1953, pp. 1-37. | MR | Zbl

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. | MR | Zbl

E.A. Perkins, Polar Sets and Multiple Points for Super-Brownian Motion, 1988 b, preprint.

M. Reimers, One Dimensional Stochastic Partial Differential Equations and the Branching Measure Diffusion, to appear in Prob. Theory and Related Fields, 1988. | MR | Zbl

S. Roelly-Coppoletta, A Criterion of Convergence of Measure-Valued Processes: Application to Measure Branching Processes. Stochastics, Vol. 17, 1986, pp. 43-65. | MR | Zbl

C.A. Rogers, Hausdorff Measures, Cambridge Univ. Press, Cambridge, 1970. | MR | Zbl

A.V. Skorokhod, Limit Theorems for Stochastic Processes, Theor. Prob. Appl., Vol. 1, 1956, pp. 261-290.

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. | MR | Zbl

S. Watanabe, A Limit Theorem of Branching Processes and Continuous State Branching Processes, J. Math. Kyoto Univ., Vol. 8, 1968, pp. 141-167. | MR | Zbl