We consider a Bose gas trapped in the unit torus in the Gross-Pitaevskii regime. In the ground state, we prove that fluctuations of bounded one-particle observables satisfy a central limit...
Publications
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Friday, 1 March, 2019
arXiv:1903.00365
Monday, 25 February, 2019
We study the O(4) Wilson-Fisher fixed point in 2+1 dimensions in fixed large-charge sectors identified by products of two spin-j representations (j_L, j_R). Using effective field theory we...
arXiv:1902.09542
Friday, 22 February, 2019
In the correspondence between spectral problems and topological strings, it is natural to consider complex values for the string theory moduli. In the spectral theory side, this corresponds to...
arXiv:1902.08606
Wednesday, 20 February, 2019
The regularity of monotone transport maps plays an important role in several applications to PDE and geometry. Unfortunately, the classical statements on this subject are restricted to the case...
arXiv:1902.07621
Friday, 15 February, 2019
We apply numerical conformal bootstrap techniques to the four-point function of a Weyl spinor in 4d non-supersymmetric CFTs. We find universal bounds on operator dimensions and OPE coefficients...
arXiv:1902.05969
Friday, 15 February, 2019
We classify effective field theory (EFT) deformations of the Standard Model (SM) according to the analyticity property of the Lagrangian as a function of the Higgs doublet H. Our distinction in...
arXiv:1902.05936
Thursday, 14 February, 2019
We study irreducible holomorphic symplectic manifolds deformation equivalent to Hilbert schemes of points on a K3 surface and admitting a non-symplectic involution. We classify the possible...
arXiv:1902.05397
Wednesday, 13 February, 2019
We prove that the E8 root lattice and the Leech lattice are universally optimal among point configurations in Euclidean spaces of dimensions 8 and 24, respectively. In other words,...
arXiv:1902.05438
Monday, 11 February, 2019
This is a sequel to the paper \cite{MO-mw} which identified maximally writhed algebraic links in $\rp^3$ and classified them topologically. In this paper we prove that all maximally writhed...
arXiv:1902.03910
Friday, 8 February, 2019
We investigate the homogeneous Dirichlet problem for the Fast Diffusion Equation u_t=\Delta u^m, posed in a smooth bounded domain \Omega\subset \mathbb{R}^N, in the exponent range m_s=(N-2)_+/(N...
arXiv:1902.03189
Friday, 8 February, 2019
We study the size of the near-critical window for Bernoulli percolation on \mathbb Z^d. More precisely, we use a quantitative Grimmett-Marstrand theorem to prove that the correlation length,...
arXiv:1902.03207
Saturday, 26 January, 2019
We introduce two Diophantine conditions on rotation numbers of interval exchange maps (i.e.m) and translation surfaces: the \emph{absolute Roth type condition} is a weakening of the notion of...
arXiv:1901.09191