1 citations · 1 across the 4 of their papers we have counts for
9 papers
Continuous functions with impermeable graphs
Zoltán Buczolich, Gunther Leobacher, Alexander Steinicke
We construct a Hölder continuous function on the unit interval which coincides in uncountably (in fact continuum) many points with every function of total variation smaller than 1…
Zur Irrationalität in der Schule
Gunther Leobacher, Joscha Prochno
Irrational numbers are introduced usually already introduced in lower secondary level schools. But typically, maybe with the exception of , no mathematical proof of irrat…
Independence in Mathematics -- the key to a Gaussian law
Gunther Leobacher, Joscha Prochno
In this manuscript we discuss the notion of (statistical) independence embedded in its historical context. We focus in particular on its appearance and role in number theory, conco…
Change of drift in one-dimensional diffusions
Sascha Desmettre, Gunther Leobacher, L. C. G. Rogers
It is generally understood that a given one-dimensional diffusion may be transformed by Cameron-Martin-Girsanov measure change into another one-dimensional diffusion with the same…
Existence, Uniqueness and Regularity of the Projection onto Differentiable Manifolds
Gunther Leobacher, Alexander Steinicke
We investigate the maximal open domain on which the orthogonal projection map onto a subset can be defined and study essential proper…
On the length of arcs in labyrinth fractals
Ligia L. Cristea, Gunther Leobacher
Labyrinth fractals are self-similar dendrites in the unit square that are defined with the help of a labyrinth set or a labyrinth pattern. In the case when the fractal is generated…