13 citations · 18 across the 5 of their papers we have counts for
5 papers
Intrinsic volumes of ellipsoids
Anna Gusakova, Evgeny Spodarev, Dmitry Zaporozhets
We deduce explicit formulae for the intrinsic volumes of an ellipsoid in , , in terms of elliptic integrals. Namely, for an ellipsoid ${\mathcal E}\subset \mat…
Prediction of random variables by excursion metric projections
Vitalii Makogin, Evgeny Spodarev
We use the concept of excursions for the prediction of random variables without any moment existence assumptions. To do so, an excursion metric on the space of random variables is…
Entropy-based inhomogeneity detection in porous media
Patricia Alonso Ruiz, Evgeny Spodarev
We study a change-point problem for random fields based on a univariate detection of outliers via the -rule in order to recognize inhomogeneities in porous media. In particular…
Estimation of fractal dimension and fractal curvatures from digital images
Evgeny Spodarev, Peter Straka, Steffen Winter
Most of the known methods for estimating the fractal dimension of fractal sets are based on the evaluation of a single geometric characteristic, e.g. the volume of its parallel set…
Anisotropic Poisson Processes of Cylinders
Malte Spiess, Evgeny Spodarev
Main characteristics of stationary anisotropic Poisson processes of cylinders (dilated k-dimensional flats) in d-dimensional Euclidean space are studied. Explicit formulae for the…