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...

# Publications

## Pages

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...

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...

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...

It was recently argued that string theory on {\rm AdS}_3\times {\rm S}^3\times \mathbb{T}^4 with one unit (k=1) of NS-NS flux is exactly dual to the symmetric orbifold CFT {\rm Sym}^N(\mathbb{T...

In this article, we prove that the height function associated with the square-ice model (i.e.~the six-vertex model with a=b=c=1 on the square lattice), or, equivalently, of the uniform random...

It was recently shown that string theory on \mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathbb{T}^4 with minimal NS-NS flux (k=1) is exactly dual to the symmetric orbifold of T4. Here we show...

For random d-regular graphs on N vertices with 1 \ll d \ll N^{2/3}, we develop a d^{-1/2} expansion of the local eigenvalue distribution about the Kesten-McKay law up to order d^{-3}. This...

Let K be a convex polyhedron and \mathscr F its Wulff energy, and let \mathscr C(K) denote the set of convex polyhedra close to K whose faces are parallel to those of K. We show that, for...

We consider random interlacements on \mathbb{Z}^d, d \ge 3. We show that the percolation function that to each u \ge 0 attaches the probability that the origin does not belong to an infinite...

As a refinement of the Swampland Distance Conjecture, we propose that a quantum gravitational theory in an infinite distance limit of its moduli space either decompactifies, or reduces to an...

The dynamics of DNNs during gradient descent is described by the so-called Neural Tangent Kernel (NTK). In this article, we show that the NTK allows one to gain precise insight into the Hessian...