14 citations · 18 across the 5 of their papers we have counts for
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math.MG2011★ 4 cited
Local dimensions of measures on self-affine sets
K. J. Falconer, Jun Jie Miao
We show that, in a generic setting, self-affine and almost self-affine measures are exact dimensional, with local dimension equal almost everywhere to the information dimension and…
math.GR2011
Growth rate of an endomorphism of a group
Kenneth Falconer, Benjamin Fine, Delaram Kahrobaei
In [B] Bowen defined the growth rate of an endomorphism of a finitely generated group and related it to the entropy of a map on a compact manifold. In this note we…
math-ph2011
Inhomogeneous parabolic equations on unbounded metric measure spaces
Kenneth J. Falconer, Jiaxin Hu, Yuhua Sun
We study inhomogeneous semilinear parabolic equations with source term f independent of time u_{t}=Δu+u^{p}+f(x) on a metric measure space, subject to the conditions that f(x)\geq…