Acta Mathematica
Description
Identifiers
| ISSN | 0001-5962 |
| e-ISSN | 1871-2509 |
| DOI | 10.1007/11511.1871-2509 |
Publisher
Springer Netherlands
Additional information
Data set: Springer
Articles
article
Acta Mathematica > 2016 > 217 > 2 > 263-340
We determine the asymptotics of the independence number of the random d-regular graph for all $${d\geq d_0}$$ d ≥ d 0 . It is highly concentrated, with constant-order fluctuations around $${n\alpha_*-c_*\log n}$$ n α ∗ - c ∗ log n for explicit constants $${\alpha_*(d)}$$ α ∗ ( d ) and $${c_*(d)}$$ c ∗ ( d ) . Our proof rigorously...
article
Acta Mathematica > 2016 > 217 > 2 > 341-404
We prove the local hard Lefschetz theorem and local Hodge–Riemann bilinear relations for Soergel bimodules. Using results of Soergel and Kübel, one may deduce an algebraic proof of the Jantzen conjectures. We observe that the Jantzen filtration may depend on the choice of non-dominant regular deformation direction.
article
Acta Mathematica > 2016 > 217 > 2 > 195-262
We construct families of two-dimensional travelling water waves propagating under the influence of gravity in a flow of constant vorticity over a flat bed, in particular establishing the existence of waves of large amplitude. A Riemann–Hilbert problem approach is used to recast the governing equations as a one-dimensional elliptic pseudodifferential equation with a scalar constraint. The structural...
