39 citations · 123 across the 23 of their papers we have counts for
3 papers · 1 filter
On the continuity of entropy of Lorenz maps
Zoe Cooperband, Erin P. J. Pearse, Blaine Quackenbush +3
We consider a one parameter family of Lorenz maps indexed by their point of discontinuity and constructed from a pair of bilipschitz functions. We prove that their topological…
Tube formulas for self-similar fractals
Michel L. Lapidus, Erin P. J. Pearse
Tube formulas (by which we mean an explicit formula for the volume of an -neighbourhood of a subset of a suitable metric space) have been used in many situations to study proper…
Tube formulas and complex dimensions of self-similar tilings
Michel L. Lapidus, Erin P. J. Pearse
We use the self-similar tilings constructed by the second author in "Canonical self-affine tilings by iterated function systems" to define a generating function for the geometry of…