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Ultramodular Functions [PDF]

open access: possibleMathematics of Operations Research, 2005
We study the properties of ultramodular functions, a class of functions that generalizes scalar convexity and that naturally arises in some economic and statistical applications.
MARINACCI, Massimo, MONTRUCCHIO, Luigi
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A functional functional interpretation

Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2014
In this paper, we present a modern reformulation of the Dialectica interpretation based on the linearized version of de Paiva. Contrarily to Gödel's original translation which translated HA into system T, our presentation applies on untyped λ-terms and features nicer proof-theoretical properties.
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Wave-function functionals

Physical Review A, 2010
We extend our prior work on the construction of variational wave functions $\ensuremath{\psi}$ that are functionals of functions $\ensuremath{\chi}:\ensuremath{\psi}=\ensuremath{\psi}[\ensuremath{\chi}]$ rather than simply being functions. In this manner, the space of variations is expanded over those of traditional variational wave functions.
Xiao-Yin Pan   +2 more
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