Concept
Proof of impossibility
Publications associées (4)
Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative semigroup actions
We establish two ergodic theorems which have among their corollaries numerous classical results from multiplicative number theory, including the Prime Number Theorem, a theorem of Pillai-Selberg, a theorem of Erd\H{o}s-Delange, the mean value theorem of Wi ...
2020Undecidability through Fourier series
In computability theory a variety of combinatorial systems are encountered (word problems, production systems) that exhibit undecidability properties. Here we seek such structures in the realm of Analysis, more specifically in the area of Fourier Analysis. ...
Elsevier Science Bv2016Transformations in distributed computations and applications to set agreement
In a distributed application, high-availability of a critical online service is ensured despite failures by duplicating the vital components of the server. Whilst guaranteeing the access to the server at all times, duplication requires particular care, so ...
EPFL2006