116 citations · 182 across the 15 of their papers we have counts for
15 papers
A Sub-Gaussian estimate for Dirichlet Heat Kernels on Tubular Neighbourhoods and Tightness of Conditional Brownian Motion
Olaf Wittich
We prove tightness of a family of path measures on tubes of small diameters around a closed and connected submanifold of another Riemannian m…
A Convergence Result for Dirichlet Semigroups on Tubular Neighbourhoods and the Marginals of Conditional Brownian Motion
Vera Nobis, Olaf Wittich
We investigate yet another approach to understand the limit behaviour of Brownian motion conditioned to stay within a tubular neighbourhood around a closed and connected submanifol…
Quasi-steady state reduction for the Michaelis-Menten reaction-diffusion system
Martin Frank, Christian Lax, Sebastian Walcher +1
The Michaelis-Menten mechanism is probably the best known model for an enzyme-catalyzed reaction. For spatially homogeneous concentrations, QSS reductions are well known, but this…
Randomized algorithms for statistical image analysis and site percolation on square lattices
Mikhail A. Langovoy, Olaf Wittich
We propose a novel probabilistic method for detection of objects in noisy images. The method uses results from percolation and random graph theories. We present an algorithm that a…
Multiple testing, uncertainty and realistic pictures
Mikhail A. Langovoy, Olaf Wittich
We study statistical detection of grayscale objects in noisy images. The object of interest is of unknown shape and has an unknown intensity, that can be varying over the object an…
Computationally efficient algorithms for statistical image processing. Implementation in R
Mikhail A. Langovoy, Olaf Wittich
In the series of our earlier papers on the subject, we proposed a novel statistical hypothesis testing method for detection of objects in noisy images. The method uses results from…