The goal of this paper is to establish generic regularity of free boundaries for the obstacle problem in \mathbb R^n. By classical results of Caffarelli, the free boundary is C^\infty outside a...
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Monday, 2 December, 2019
arXiv:1912.00714
Monday, 2 December, 2019
The purpose of this paper is to sketch an approach towards a reconciliation of quantum theory with relativity theory. It will actually be argued that these two theories ultimately rely on one...
arXiv:1912.00726
Friday, 29 November, 2019
General relativity governs the nonlinear dynamics of spacetime, including black holes and their event horizons. We demonstrate that forced black hole horizons exhibit statistically steady...
arXiv:1912.00032
Wednesday, 27 November, 2019
We compute small rational models for configuration spaces of points on oriented surfaces, as right modules over the framed little disks operad. We do this by splitting these surfaces in unions...
arXiv:1911.12281
Tuesday, 26 November, 2019
Recent work has shown that modified gravitational wave (GW) propagation can be a powerful probe of dark energy and modified gravity, specific to GW observations. We use the technique of Gaussian...
arXiv:1911.11497
Tuesday, 19 November, 2019
In arXiv:1909.01269 it was shown that the scaling dimension of the lightest charge n operator in the U(1) model at the Wilson-Fisher fixed point in d=4−varepsilon can be computed semiclassically...
arXiv:1911.08505
Monday, 18 November, 2019
When studying quantum field theories and lattice models, it is often useful to analytically continue the number of field or spin components from an integer to a real number. In spite of this,...
arXiv:1911.07895
Thursday, 14 November, 2019
Given a closed manifold M. We give an algebraic model for the Chas-Sullivan product and the Goresky-Hingston coproduct. In the simply-connected case, this admits a particularly nice description...
arXiv:1911.06202
Wednesday, 13 November, 2019
We study the mixed system of correlation functions involving a scalar field charged under a global U(1) symmetry and the associated conserved spin-1 current J_\mu. Using numerical bootstrap...
arXiv:1911.05747
Tuesday, 12 November, 2019
Benjamini and Kesten introduced in 1995 the problem of embedding infinite binary sequences into a Bernoulli percolation configuration, known as "percolation of words". We give a positive answer...
arXiv:1911.04816
Wednesday, 6 November, 2019
We construct the general first-order hydrodynamic theory invariant under time translations, the Euclidean group of spatial transformations and preserving particle number, that is with symmetry...
arXiv:1911.02578
Saturday, 2 November, 2019
The mapping spaces of the r-truncated versions of the E_n operads appear as the r-th stage of the Taylor tower for long embedding spaces. It has been shown that their rational homotopy groups...
arXiv:1911.00709