Vol. 163, No. 1, 2006

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Finite and infinite arithmetic progressions in sumsets
1-35

Endre Szemerédi & Van H. Vu

Convergence of the parabolic Ginzburg–Landau equation to motion by mean curvature
37-163

Fabrice Bethuel & Giandomenico Orlandi & Didier Smets

Invariant measures and arithmetic unique ergodicity
165-219

Elon Lindenstrauss

The Parisi formula
221-263

Michel Talagrand

Calderón's inverse conductivity problem in the plane
265-299

Kari Astala

Elliptic units for real quadratic fields
301-345

Henri Darmon & Samit Dasgupta

Asymptotic faithfulness of the quantum SU(n) representations of the mapping class groups
347-368

Jørgen Ellegaard Andersen

A refined version of the Siegel–Shidlovskii theorem
369-379

Frits Beukers

Correction to “Classical groups and the Hasse principle”
381

Eva Bayer-Fluckiger & Raman Parimala