7 citations · 13 across the 5 of their papers we have counts for
6 papers
Mean Lipschitz-Killing curvatures for homogeneous random fractals
Jan Rataj, Steffen Winter, Martina Zähle
Homogeneous random fractals form a probabilistic extension of self-similar sets with more dependencies than in random recursive constructions. For such random fractals we consider…
Regularity of the solutions to SPDEs in metric measure spaces
Elena Issoglio, Martina Zähle
In this paper we study the regularity of non-linear parabolic PDEs and stochastic PDEs on metric measure spaces admitting heat kernels. In particular we consider mild function solu…
Legendrian cycles and curvatures
Jan Rataj, Martina Zähle
Properties of general Legendrian cycles acting in are studied. In particular, we give short proofs for certain uniqueness theorems with respect to…
Elementary pathwise methods for nonlinear parabolic and transport type SPDE with fractal noise
Michael Hinz, Elena Issoglio, Martina Zähle
We survey some of our recent results on existence, uniqueness and regularity of function solutions to parabolic and transport type partial differential equations driven by non-diff…
Curvature-direction measures of self-similar sets
Tilman Johannes Bohl, Martina Zähle
We obtain fractal Lipschitz-Killing curvature-direction measures for a large class of self-similar sets F in R^d. Such measures jointly describe the distribution of normal vectors…
Fractal curvature measures of self-similar sets
Steffen Winter, Martina Zähle
Fractal Lipschitz-Killing curvature measures C^f_k(F,.), k = 0, ..., d, are determined for a large class of self-similar sets F in R^d. They arise as weak limits of the appropriate…