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20022009
most citedStatistical mechanics and dynamics of solvable models with long-range interactions

964 citations

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math.DS2004

On convergence of generalized continued fractions and Ramanujan's conjecture

A. A. Glutsyuk

We consider continued fractions \frac{-a_1}{1-\frac{a_2}{1-\frac{a_3}{1-...}}} \label{fr} with real coefficients converging to a limit . S.Ramanujan had stated the theorem…

math.DS2004

Proximality and equidistribution on the Furstenberg boundary

A. Gorodnik, F. Maucourant

Let G be a connected semisimple Lie group with finite center and without compact factors, P a minimal parabolic subgroup of G, and Γa lattice in G. We prove that every Γ-orbits in…