TY - JOUR
T1 - Hölder Index at a Given Point for Density States of Super-α-Stable Motion of Index 1+ β
AU - Fleischmann, Klaus
AU - Mytnik, Leonid
AU - Wachtel, Vitali
N1 - Funding Information:
All authors were partially supported by the German Israeli Foundation for Scientific Research and Development, Grant No. G-807-227.6/2003. Vitali Wachtel was partially supported by the Israel Science Foundation.
PY - 2011/3
Y1 - 2011/3
N2 - A Hölder regularity index at given points for density states of (α, 1,β)-superprocesses with α > 1 + β is determined. It is shown that this index is strictly greater than the optimal index of local Hölder continuity for those density states.
AB - A Hölder regularity index at given points for density states of (α, 1,β)-superprocesses with α > 1 + β is determined. It is shown that this index is strictly greater than the optimal index of local Hölder continuity for those density states.
KW - Hausdorff dimension
KW - Hölder continuity at a given point
KW - Multifractal spectrum
KW - Optimal exponent
UR - http://www.scopus.com/inward/record.url?scp=79551548953&partnerID=8YFLogxK
U2 - 10.1007/s10959-010-0334-3
DO - 10.1007/s10959-010-0334-3
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AN - SCOPUS:79551548953
SN - 0894-9840
VL - 24
SP - 66
EP - 92
JO - Journal of Theoretical Probability
JF - Journal of Theoretical Probability
IS - 1
ER -