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19982023
most citedFrom Physics to Number Theory via Noncommutative Geometry, Part II: Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory

58 citations · 265 across the 45 of their papers we have counts for

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Showing 2021Show all

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cs.IT2021

Geometry of Information: classical and quantum aspects

Noemie Combe, Yuri I. Manin, Matilde Marcolli

In this article, we describe various aspects of categorification of the structures appearing in information theory. These aspects include probabilistic models both of classical and…

math.NT2021

Homotopy Spectra and Diophantine Equations

Yuri I. Manin, Matilde Marcolli

Arguably, the first bridge between vast, ancient, but disjoint domains of mathematical knowledge, - topology and number theory, - was built only during the last fifty years. This b…