activity
19982008
most citedFrom Physics to Number Theory via Noncommutative Geometry, Part II: Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory

58 citations · 143 across the 15 of their papers we have counts for

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Showing 2001 · math.NTShow all

2 papers · 2 filters

math.NT2001

Limiting modular symbols and the Lyapunov spectrum

Matilde Marcolli

This paper consists of variations upon the theme of limiting modular symbols. Topics covered are: an expression of limiting modular symbols as Birkhoff averages on level sets of th…

math.NT2001

Continued fractions, modular symbols, and non-commutative geometry

Yuri I. Manin, Matilde Marcolli

Using techniques introduced by D. Mayer, we prove an extension of the classical Gauss-Kuzmin theorem about the distribution of continued fractions, which in particular allows one t…