OPTIMAL LOCAL HÖLDER INDEX FOR DENSITY STATES OF SUPERPROCESSES WITH (1+β)-BRANCHING MECHANISM
OPTIMAL LOCAL HÖLDER INDEX FOR DENSITY STATES OF SUPERPROCESSES WITH (1+β)-BRANCHING MECHANISM
About this item
Full title
Author / Creator
Publisher
Cleveland, OH: Institute of Mathematical Statistics
Journal title
Language
English
Formats
Publication information
Publisher
Cleveland, OH: Institute of Mathematical Statistics
Subjects
More information
Scope and Contents
Contents
For 0 < α ≤ 2, a super-α-stable motion X in $\text{R}^{d}$ with branching of index 1+β ∈ (1,2) is considered. Fix arbitrary t > 0. If d < α/β, a dichotomy for the density function of the measure $X_{t}$ holds: the density function is locally Hölder continuous if d = 1 and α > 1+β but locally unbounded otherwise. Moreover, in the case of continuity,...
Alternative Titles
Full title
OPTIMAL LOCAL HÖLDER INDEX FOR DENSITY STATES OF SUPERPROCESSES WITH (1+β)-BRANCHING MECHANISM
Authors, Artists and Contributors
Author / Creator
Identifiers
Primary Identifiers
Record Identifier
TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aop_1275486191
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aop_1275486191
Other Identifiers
ISSN
0091-1798
E-ISSN
2168-894X
DOI
10.1214/09-AOP501
