@article{AIHPB_2001__37_1_71_0, author = {M\"orters, Peter}, title = {The average density of super-brownian motion}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {71--100}, publisher = {Elsevier}, volume = {37}, number = {1}, year = {2001}, mrnumber = {1815774}, zbl = {0978.60046}, language = {en}, url = {http://www.numdam.org/item/AIHPB_2001__37_1_71_0/} }
Mörters, Peter. The average density of super-brownian motion. Annales de l'I.H.P. Probabilités et statistiques, Tome 37 (2001) no. 1, pp. 71-100. http://www.numdam.org/item/AIHPB_2001__37_1_71_0/
1 Analogues of the Lebesgue density theorem for fractal sets of reals and integers, Proc. London Math. Soc. (3) Vol. 64 (1992) 95-124. | MR | Zbl
, ,2 Measure-valued Markov processes, in: École d'Été de Probabilités de Saint Flour XXI, Lecture Notes in Math., Vol. 1541, Springer, Berlin, 1993, pp. 1-260. | MR | Zbl
,3 Historical Processes, Mem. Amer. Math. Soc., Vol. 93, 1991. | MR | Zbl
, ,4 Absolute continuity results for superprocesses with some applications, Trans. Amer. Math. Soc. Vol. 325 (1991) 661-681. | MR | Zbl
, ,5 Wavelet transforms and order-two densities of fractals, J. Statist. Phys. Vol. 67 (1992) 781-793. | MR | Zbl
,6 Techniques in Fractal Geometry, Wiley, Chichester, 1997. | MR | Zbl
,7 Average densities of the image and zero set of stable processes, Stochastic Process. Appl. Vol. 55 (1995) 271-283. | MR | Zbl
, ,8 On Bandt's tangential distribution for self-similar measures, Mh. Math. Vol. 120 (1995) 223-246. | MR | Zbl
,9 Brownian excursions, trees and measure-valued branching processes, Ann. Probab. Vol. 19 (1991) 1399-1439. | MR | Zbl
,10 A class of path-valued Markov processes and its applications to superprocesses, Probab. Theory Related Fields Vol. 95 (1993) 25-46. | MR | Zbl
,11 The Hausdorff measure of the support of two-dimensional super-Brownian motion, Ann. Probab. Vol. 23 (1995) 1719-1747. | MR | Zbl
, ,12 The packing measure of the support of super-Brownian motion, Stochastic Process. Appl. Vol. 59 (1995) 1-20. | MR | Zbl
, , ,13 Geometrische und analytische Eigenschaften singulärer Strukturen in Rd, Ph.D. Dissertation, University of Jena, 1994.
,14 Order-two density and the strong law of large numbers, Mathematika Vol. 43 (1996) 1-22. | MR | Zbl
,15 The Geometry of Sets and Measures in Euclidean Spaces, Cambridge University Press, Cambridge, 1995. | MR | Zbl
,16 Average densities and linear rectifiability of measures, Mathematika Vol. 44 (1997) 313-324. | MR | Zbl
,17 The average density of the path of planar Brownian motion, Stochastic Process. Appl. Vol. 74 (1998) 133-149. | MR | Zbl
,18 Small scale limit theorems for the intersection local time of Brownian motion, El. J. Probab. Vol. 4 (1999) 1-23, Paper 9. | MR | Zbl
, ,19 Fractional differentiation in the self-affine case III. The density of the Cantor set, Proc. Amer. Math. Soc. Vol. 117 (1993) 132-144. | MR | Zbl
, ,20 Fractional differentiation in the self-affine case IV. Random measures, Stochastics Stochastics Rep. Vol. 49 (1994) 87-98. | MR | Zbl
, ,21 The multifractal structure of super-Brownian motion, Ann. Inst. H. Poincaré Vol. 34 (1998) 97-138. | Numdam | MR | Zbl
, ,22 Geometry of measures in Rn: Distribution, rectifiability and densities, Ann. Math. Vol. 125 (1987) 537-643. | MR | Zbl
,23 The connected components of the closed support of super-Brownian motion, Probab. Theory Related Fields Vol. 89 (1991) 75-87. | MR | Zbl
,