کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1156434 | 958829 | 2015 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Hausdorff spectrum of a class of multifractal processes
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The Hausdorff spectrum of a class of multifractal processes The Hausdorff spectrum of a class of multifractal processes](/preview/png/1156434.png)
چکیده انگلیسی
The Multifractal Embedded Branching Process (MEBP) process and Canonical Embedded Branching Process (CEBP) process were introduced by Decrouez and Jones (2012). The CEBP is a process in which the crossings of dyadic intervals constitute a branching process. An MEBP process is defined as a multifractal time-change of a CEBP process, where the time-change is such that both it and the CEBP can be simulated on-line. In this paper, under various moment conditions, we show that CEBP processes have a constant modulus of continuity, obtain the Hausdorff spectrum of the time-change, and thus obtain the Hausdorff spectrum of an MEBP process.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 125, Issue 4, April 2015, Pages 1541–1568
Journal: Stochastic Processes and their Applications - Volume 125, Issue 4, April 2015, Pages 1541–1568
نویسندگان
Geoffrey Decrouez, Ben Hambly, Owen Dafydd Jones,