# Sabrina Kombrink: Steiner formula for fractal sets

Tid: To 2017-09-14 kl 15.00 - 15.50

Föreläsare: Sabrina Kombrink, Universität zu Lübeck

Plats: Institut Mittag-Leffler, Auravägen 17, Djursholm

The famous Steiner formula for a non-empty compact convex subset $$K$$ of the $$d$$-dimensional Euclidean space states that the volume of the $$\epsilon$$-parallel set of $$K$$ can be expressed as a polynomial in $$\epsilon$$ of degree $$d$$. The coefficients of the polynomial carry important information on the geometry of the convex set, such as the volume, the surface area and the Euler characteristic. For fractal sets the $$\epsilon$$-parallel volume is more involved and cannot be written as an ordinary polynomial in $$\epsilon$$. In this talk we discuss the behaviour of the $$\epsilon$$-parallel volumes of certain fractals and analogues of the Steiner formula. Moreover we explore the geometric information which the analogues of the exponents and coefficients incorporate.

2017-09-14T15:00 2017-09-14T15:50 Sabrina Kombrink: Steiner formula for fractal sets Sabrina Kombrink: Steiner formula for fractal sets
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