81 citations · 318 across the 48 of their papers we have counts for
53 papers
Cohn-Elkies functions from Gabor frames
Yuri Manin, Matilde Marcolli
We investigate the relation between two different mathematical problems: the construction of bounds on sphere packing density using Cohn-Elkies functions and the construction of Ga…
Computability questions in the sphere packing problem
Yuri Manin, Matilde Marcolli
We consider the sets of dimensions for which there is an optimal sphere packing with special regularity properties (respectively, a lattice, or a periodic set with a given bound on…
Supercycles, stable supermaps and SUSY Nori motives
Ugo Bruzzo, Daniel Hernandez Ruiperez, Yuri I. Manin
We define stable supercurves and stable supermaps, and based on these notions we develop a theory of Nori motives for the category of stable supermaps of SUSY curves with punctures…
Moduli spaces of SUSY curves and their operads
Enno Keßler, Yuri I. Manin, Yingying Wu
This article generalizes the operad of moduli spaces of curves to SUSY curves. SUSY curves are algebraic curves with additional supersymmetric or supergeometric structure. Here, we…
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…
Moufang Patterns and Geometry of Information
Noemie Combe, Yuri I. Manin, Matilde Marcolli
Technology of data collection and information transmission is based on various mathematical models of encoding. The words "Geometry of information" refer to such models, whereas th…