113 research outputs found
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 -close to be -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
Some properties for a subfunction associated with the stationary Schrödinger operator in a cone
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
Minkowskische Summen und Integrale superadditive Mengenfunktionale isoperimetrische Ungleichungen
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