123 citations · 1k across the 65 of their papers we have counts for
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On Wigdersons' approach to the uncertainty principle
Nuno Costa Dias, Franz Luef, João Nuno Prata
We revisit the uncertainty principle from the point of view suggested by A. Wigderson and Y. Wigderson. This approach is based on a primary uncertainty principle from which one can…
Vibration modes of the Euler-Bernoulli beam equation with singularities
Nuno Costa Dias, Cristina Jorge, João Nuno Prata
We consider the time dependent Euler--Bernoulli beam equation with discontinuous and singular coefficients. Using an extension of the Hörmander product of distributions with non-in…
An existence and uniqueness result about algebras of Schwartz distributions
Nuno Costa Dias, Cristina Jorge, Joao Nuno Prata
We prove that there exists essentially one {\it minimal} differential algebra of distributions $\A$, satisfying all the properties stated in the Schwartz impossibility result [L. S…
On a recent conjecture by Z. Van Herstraeten and N.J. Cerf for the quantum Wigner entropy
Nuno Costa Dias, João Nuno Prata
We address a recent conjecture stated by Z. Van Herstraeten and N.J. Cerf. They claim that the Shannon entropy for positive Wigner functions is bounded below by a positive constant…