# ``A Marstrand theorem for measures with polytope density''

##
Andrew Lorent
(University of Cincinnati)

created by gelli on 05 Nov 2007

7 nov 2007

**Abstract.**

title:``A Marstrand theorem for measures with polytope density''

Sala delle Riunioni--Dipartimento di Matematica--ore 17.00--

Abstract: We will give a sketch of some methods used to prove some
classic theorems in Geometric Measure Theorey related to (and
precursors of) Preiss rectifiability theorem. In particular we will
focus on Marstrand's Theorem that a measure in Euclidean space
whose s-density exists and is positive finite everywhere has to
be such that s is and integer and the measure has a weak s tangents
almost everywhere. We will state a recent theorem which generalises the
first part of Marstrands theorem for a wide class of finite dimensional
normed vector spaces.