JournalsjfgVol. 9, No. 3/4pp. 373–396

Oscillations of BV measures on unbounded nested fractals

  • Patricia Alonso Ruiz

    Texas A&M University, College Station, USA

  • Fabrice Baudoin

    University of Connecticut, Storrs, USA
Oscillations of BV measures on unbounded nested fractals cover
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Abstract

Motivated by recent developments in the theory of bounded variation functions on unbounded nested fractals, this paper studies the exact asymptotics of functionals related to the total variation measure associated with unions of -cells. The oscillatory behavior observed implies the non-uniqueness of BV measures in this setting.

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Patricia Alonso Ruiz, Fabrice Baudoin, Oscillations of BV measures on unbounded nested fractals. J. Fractal Geom. 9 (2022), no. 3/4, pp. 373–396

DOI 10.4171/JFG/122