58 citations · 265 across the 44 of their papers we have counts for
4 papers · 1 filter
Motivic Information
Matilde Marcolli
We introduce notions of information/entropy and information loss associated to exponentiable motivic measures. We show that they satisfy appropriate analogs to the Khinchin-type pr…
Reconstructing global fields from dynamics in the abelianized Galois group
Gunther Cornelissen, Xin Li, Matilde Marcolli +1
We study a dynamical system induced by the Artin reciprocity map for a global field. We translate the conjugacy of such dynamical systems into various arithmetical properties that…
Reconstructing global fields from Dirichlet L-series
Gunther Cornelissen, Bart de Smit, Xin Li +2
We prove that two global fields are isomorphic if and only if there is an isomorphism of groups of Dirichlet characters that preserves L-series.
Feynman quadrics-motive of the massive sunset graph
Matilde Marcolli, Goncalo Tabuada
We prove that the Feynman quadrics-motive of the massive sunset graph is "generically" not mixed-Tate. Moreover, we explicitly describe its "extra" complexity in terms of a Prym va…