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math.PR2025
Mean Minkowski content and mean fractal curvatures of random self-similar code tree fractals
Jan Rataj, Steffen Winter, Martina Zähle
We consider a class of random self-similar fractals based on code trees which includes random recursive, homogeneous and V-variable fractals and many more. For such random fractals…
math.PR2012★ 4 cited
Heat equation with a general stochastic measure on nested fractals
Vadym Radchenko, Martina Zähle
A stochastic heat equation on an unbounded nested fractal driven by a general stochastic measure is investigated. Existence, uniqueness and continuity of the mild solution are prov…
math.PR2010
Lipschitz-Killing curvatures of self-similar random fractals
Martina Zähle
For a large class of self-similar random sets F in R^d geometric parameters C_k(F), k=0,...,d, are introduced. They arise as a.s. (average or essential) limits of the volume C_d(F(…