Calculus of Variations and Geometric Measure Theory

Transportation of measures through branched networks at finite cost

Eugene Stepanov (St. Petersburg Branch of the Steklov Research Institute of Mathematics of the Russian Academy of Sciences)

created by gelli on 23 Nov 2007

28 nov 2007


Sala Riunioni--Dipartimento di Matematica--ore 17.00

Eugene Stepanov (Univ. San Pietroburgo) ``Transportation of measures through branched networks at finite cost''

ABSTRACT: The following transportation problem is studied: characterize those couples of finite Borel measures with compact supports in a Euclidean space that can be transported to each other at a finite fractional cost, given by a fractional mass of real one-dimensional normal currents. Besides the class of irrigable measures (i.e. measures which can be transported to a Dirac measure with the appropriate total mass at a finite cost), two other important classes of measures related to the problem are studied which in a certain sense are complementary to each other.