SUPER-BROWNIAN MOTIONS IN HIGHER DIMENSIONS WITH ABSOLUTELY CONTINUOUS MEASURE STATES

被引：19

作者：

DAWSON, DA ^{[1
]}

FLEISCHMANN, K ^{[1
]}

机构：

[1] WEIERSTRASS INST APPL ANAL & STOCHAST,D-10117 BERLIN,GERMANY

来源：

JOURNAL OF THEORETICAL PROBABILITY | 1995年 / 8卷 / 01期

关键词：

CATALYTIC MEDIUM; RANDOM MEDIUM; FUNDAMENTAL SOLUTION; SUPERPROCESS; BRANCHING RATE FUNCTIONAL;

D O I：

10.1007/BF02213461

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Continuous super-Brownian motions in two and more dimensions are known to have singular measure states. However, by weakening the branching mechanism in an irregular way they can be forced to have absolutely continuous states. The sufficient conditions we impose are identified in a couple of examples with irregularities in only one coordinate. This includes the case of branching restricted to some densely situated ensemble of hyperplanes.

引用

页码：179 / 206

页数：28

共 6 条

[1] A continuous super-Brownian motion in a super-Brownian medium
Dawson, DA
Fleischmann, K
JOURNAL OF THEORETICAL PROBABILITY, 1997, 10 (01) : 213 - 276
[2] A Continuous Super-Brownian Motion in a Super-Brownian Medium
Donald A. Dawson
Klaus Fleischmann
Journal of Theoretical Probability, 1997, 10 : 213 - 276
[3] Catalytic and mutually catalytic super-brownian motions
Dawson, DA
Fleischmann, K
SEMINAR ON STOCHASTIC ANALYSIS, RANDOM FIELDS AND APPLICATIONS III, 2002, 52 : 89 - 110
[4] Representations for continuous additive functionals of super-Brownian and super-stable processes
Krone, SM
STATISTICS & PROBABILITY LETTERS, 1997, 34 (03) : 211 - 223
[5] Extinction properties of super-Brownian motions with additional spatially dependent mass production
Engländer, J
Fleischmann, K
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2000, 88 (01) : 37 - 58
[6] ABSOLUTE　CONTINUITY　OF　THE　OCCUPATION　TIME　PROCESSES　WITH　RESPECT　TO　LEBESGUE　MEASURE　FOR　SUPER－BROWNIAN　MOTION
王永进
ActaMathematicaScientia, 1994, (S1) : 1 - 7

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