Hölder Index at a Given Point for Density States of Super-α-Stable Motion of Index 1+ β

Klaus Fleischmann; Leonid Mytnik; Vitali Wachtel

doi:10.1007/s10959-010-0334-3

Hölder Index at a Given Point for Density States of Super-α-Stable Motion of Index 1+ β

Klaus Fleischmann, Leonid Mytnik, Vitali Wachtel

Data and Decision Sciences

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	66-92
Number of pages	27
Journal	Journal of Theoretical Probability
Volume	24
Issue number	1
DOIs	https://doi.org/10.1007/s10959-010-0334-3
State	Published - Mar 2011

Keywords

Hausdorff dimension
Hölder continuity at a given point
Multifractal spectrum
Optimal exponent

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty
General Mathematics

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10.1007/s10959-010-0334-3

Cite this

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title = "H{\"o}lder Index at a Given Point for Density States of Super-α-Stable Motion of Index 1+ β",

abstract = "A H{\"o}lder 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 H{\"o}lder continuity for those density states.",

keywords = "Hausdorff dimension, H{\"o}lder continuity at a given point, Multifractal spectrum, Optimal exponent",

author = "Klaus Fleischmann and Leonid Mytnik and Vitali Wachtel",

note = "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.",

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doi = "10.1007/s10959-010-0334-3",

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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.

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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

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U2 - 10.1007/s10959-010-0334-3

DO - 10.1007/s10959-010-0334-3

M3 - مقالة

SN - 0894-9840

VL - 24

SP - 66

EP - 92

JO - Journal of Theoretical Probability

JF - Journal of Theoretical Probability

IS - 1

ER -

Hölder Index at a Given Point for Density States of Super-α-Stable Motion of Index 1+ β

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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