Stability for Borell-Brascamp-Lieb inequalities

We study stability issues for the so-called Borell-Brascamp-Lieb inequalities, proving that when near equality is realized, the involved functions must be $L^1$-close to be $p$-concave and to coincide up to homotheties of their graphs.Comment: to appear in GAFA Seminar Note

Equilibrium Shape of Crystals

This chapter discusses the equilibrium crystal shape (ECS) from a physical perspective, beginning with a historical introduction to the Wulff theorem. It takes advantage of excellent prior reviews, particularly in the late 1980's, recapping highlights from them. It contains many ideas and experiments subsequent to those reviews. Alternatives to Wulff constructions are presented. Controversies about the critical behavior near smooth edges on the ECS are recounted, including the eventual resolution. Particular attention is devoted to the origin of sharp edges on the ECS, to the impact of reconstructed or adsorbed surface phases coexisting with unadorned phases, and to the role and nature of possible attractive step-step interactions.Comment: Review from Handbook of Crystal Growth, Fundamentals, 2nd ed., T. Nishinaga, ed. (Elsevier, Amsterdam, 2015), vol. 1A (Thermodynamics and Kinetics), ch. 5, pp. 215-264; ISBN 9780444563699/eBook:9780444593764; http://www.sciencedirect.com/science/article/pii/B9780444563699000058. 26 figs., reformatted into Phys. Rev. style, 30 pages; slightly modified, alphabetized bibliography, inc. title

Carta d'Alex Dinghas a Maria i a Àngels Carbona Balaguer , 17 gener 1968

Carta de condol escrita per Alex Dinghas a les Sres. Carbona Balaguer, amb motiu de la mort de Ferran Sunyer