75 citations · 932 across the 61 of their papers we have counts for
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math.CA2009★ 11 cited
Smooth bumps, a Borel theorem and partitions of smooth functions on p.c.f. fractals
Luke G Rogers, Robert S. Strichartz, Alexander Teplyaev
We provide two methods for constructing smooth bump functions and for smoothly cutting off smooth functions on fractals, one using a probabilistic approach and sub-Gaussian estimat…
cond-mat.mes-hall2009★ 49 cited
Physical Consequences of Complex Dimensions of Fractals
Eric Akkermans, Gerald V. Dunne, Alexander Teplyaev
It has recently been realized that fractals may be characterized by complex dimensions, arising from complex poles of the corresponding zeta function, and we show here that these l…