@article{AIHPB_1998__34_1_97_0, author = {Perkins, Edwin A. and Taylor, S. James}, title = {The multifractal structure of super-brownian motion}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {97--138}, publisher = {Gauthier-Villars}, volume = {34}, number = {1}, year = {1998}, mrnumber = {1617713}, zbl = {0905.60031}, language = {en}, url = {http://www.numdam.org/item/AIHPB_1998__34_1_97_0/} }
TY - JOUR AU - Perkins, Edwin A. AU - Taylor, S. James TI - The multifractal structure of super-brownian motion JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1998 SP - 97 EP - 138 VL - 34 IS - 1 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPB_1998__34_1_97_0/ LA - en ID - AIHPB_1998__34_1_97_0 ER -
Perkins, Edwin A.; Taylor, S. James. The multifractal structure of super-brownian motion. Annales de l'I.H.P. Probabilités et statistiques, Tome 34 (1998) no. 1, pp. 97-138. http://www.numdam.org/item/AIHPB_1998__34_1_97_0/
[BEP] Collision Local Times and Measure-valued Processes, Can. J. Math., Vol. 43, 1991, pp. 897-938. | MR | Zbl
, and ,[B] A general form of the covering principle and relative differentiation of additive functions, Proc. Camb. Phil. Soc., Vol. 41, 1945, pp. 103-110. | MR | Zbl
,[C] Measure disintegrations with respect to a σ-stable monotone index and the pointwise representation of packing dimension, Rend del Circolo Math di Palermo, Vol. 28, 1992, pp. 319-340. | MR | Zbl
,[D1] Infinitely divisible random measure and superprocesses, in Proc. 1990 Workshop on Stochastic Analysis and Related Topics, 1992, Silivri, Turkey. | MR
,[D2] Measure-valued Markov Processes, Ecole d'Eté de Probabilités de Saint-Flour XXI, Lecture Notes in Math., Vol. 1541, 1993, pp. 1-260, Springer, Berlin. | MR | Zbl
[DIP] Super-Brownian motion: Path properties and hitting probabilities, Probab. Theory Related Fields, Vol. 83, 1989, pp. 135-206. | MR | Zbl
, and ,[DP] Historical Processes, Memoirs of the Amer. Math. Soc., Vol. 93, no. 454, 1991, 179 p. | MR | Zbl
and ,[EP] Absolute continuity results for superprocesses with some applications, Trans. Amer. Math. Soc., Vol. 325, 1991, pp. 661-681. | MR | Zbl
and ,[F] Fractal Geometry: mathematics foundations and applications, Wiley, 1990, New York. | MR | Zbl
,[Fr] Potentiel d'équilibre et capacité des ensembles avec quelques applications à la théorie des fonctions, Medd Lunds Univ. Math. Sem., Vol. 3, 1935, pp. 1-188. | JFM | Zbl
,[Ha] Fractal measures and their singularities, Phys. Rev., Vol. A33, 1986, pp. 1141-1151. | MR
, , , and ,[K] Essentials of Brownian Motion and Diffusion, American Math. Soc., 1981, Providence. | MR | Zbl
,[LG1] A class of path-valued Markov processes and its applications to superprocesses, Probab. Theory Related Fields, Vol. 95, 1993, pp. 25-46. | MR | Zbl
,[LG2] A path-valued Markov process and its connection with partial differential equations, Proceedings of the First European Congress of Mathematics, (1994)a, pp. 185-212, Birkhäuser, Boston. | MR | Zbl
,[LG3] A lemma on super-Brownian motion with some applications, Festschift in Honor of E.B. Dynkin (M. Friedlin, ed.), 1994b, pp. 237-251, Birkhäuser, Boston. | MR | Zbl
,[LPT] The packing measure of the support of super-Brownian motion, Stoch. Proc. Appl., Vol. 59, 1995, pp. 1-20. | MR | Zbl
, and ,[O] A multifractal formalism, Advances in Mathematics, Vol. 116, 1995, pp. 82-195. | MR | Zbl
,[P1] The Hausdorff measure of the closed support of super-Brownian motion, Ann. Inst. H. Poincaré, Vol. 25, 1989, pp. 205-224. | Numdam | MR | Zbl
,[P2] Measure-valued branching diffusions with spatial interactions, Probab. Theory Related Fields, Vol. 94, 1992, pp. 189-245. | MR | Zbl
,[PT] Uniform measure results for the image of subsets under Brownian motion, Probab. Theory Related Fields , Vol. 76, 1987, pp. 257-289. | MR | Zbl
and ,[T] On the connection between generalized capacities and Hausdorff measures, Proc. Cambridge Philos. Soc., Vol. 57, 1961, pp. 524-531. | MR | Zbl
,[TT] Packing measure and its evaluation for a Brownian path, Trans. Amer. Math. Soc., Vol. 288, 1985, pp. 679-699. | MR | Zbl
and ,[Tr] The connected components of the closed support of super-Brownian motion, Probab. Theory Related Fields, Vol. 89, 1991, pp. 75-87. | MR | Zbl
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