Analytic Aspects of Convexity

Gabriele Bianchi, Andrea Colesanti and Paolo Gronchi are professors at the Department of Mathematics and Computer Science of the University of Florence. Their main research interest is in the analytic aspects of Convex Geometry.

• 1 Dual curvature measures in Hermitian integral geometry, A. Bernig, J. H. G. Fu and G. Solanes.- 2 Estimates for the integrals of powered i-th mean curvatures, M. H. Hernandez Cifre and D. Alonso-Gutierrez.- 3 Crofton formulae for tensorial curvature measures: the general case, D. Hug and J. A. Weis.- 4 Extensions of reverse volume difference inequalities, A. Koldobsky and D. Wu.- 5 Around the simplex mean width conjecture, A. Litvak.- 6 Discrete centro-affine curvatures for convex polygons, A. Stancu.- 7 Characterizing the volume via a Brunn-Minkowski inequality, J. Yepes-Nicolas.