3 papers
math.MG2026
Measure-valued valuations on star bodies
Jorge S. Ibáñez-Marcos, Monika Ludwig, Pedro Tradacete +1
A complete classification of weak~continuous, measure-valued valuations is established on star bodies in . Consequences are an integral representation of rotation equivar…
math.MG2024
Unimodular Valuations beyond Ehrhart
Ansgar Freyer, Monika Ludwig, Martin Rubey
A complete classification of unimodular valuations on the set of lattice polygons with values in the spaces of polynomials and formal power series, respectively, is established. Th…
math.MG2019
A homogeneous decomposition theorem for valuations on convex functions
A. Colesanti, M. Ludwig, F. Mussnig
The existence of a homogeneous decomposition for continuous and epi-translation invariant valuations on super-coercive functions is established. Continuous and epi-translation inva…