Oscillations of BV measures on nested fractals Institutional Repository Document uri icon

abstract

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

author list (cited authors)

  • Ruiz, P. A., & Baudoin, F.

citation count

  • 0

complete list of authors

  • Ruiz, Patricia Alonso||Baudoin, Fabrice

Book Title

  • arXiv

publication date

  • January 2022