We prove that for Voronoi percolation on \mathbb{R}^d, there exists p_c\in[0,1] such that

- for p<p_{c}, there exists c_{p}>0 such that \mathbb{P}_p[0\text{...

# Publications

## Pages

Genus two partition functions of 2d chiral conformal field theories are given by Siegel modular forms. We compute their conformal blocks and use them to perform the conformal bootstrap. The...

Theoretical descriptions of observable quantities in cosmological perturbation theory should be independent of coordinate systems. This statement is often referred to as gauge-invariance of...

We study correlation functions of a conserved spin-1 current J_\mu in three dimensional Conformal Field Theories (CFTs). We investigate the constraints imposed by permutation symmetry and...

We prove an inequality on decision trees on monotonic measures which generalizes the OSSS inequality on product spaces. As an application, we use this inequality to prove a number of new results...

We construct a Hennings type logarithmic invariant for restricted quantum sl(2) at a 2p-th root of unity. This quantum group U is not braided, but factorizable. The invariant is defined for a...

We describe a large family of nonequilibrium steady states (NESS) corresponding to forced flows over obstacles. The spatial structure at large distances from the obstacle is shown to be...

The modern conformal bootstrap program often employs the method of linear functionals to derive the numerical or analytical bounds on the CFT data. These functionals must have a crucial "...

We investigate the behaviour of the bosonic string on AdS3 with H-flux at stringy scales, looking in particular for a `tensionless` limit in which there are massless higher spin gauge fields. We...

It was recently shown that the CFT dual of string theory on {\rm AdS}_3 \times {\rm S}^3 \times T^4, the symmetric orbifold of T4, contains a closed higher spin subsector. Via holography, this...

We compute genus two partition functions in two dimensional conformal field theories at large central charge, focusing on surfaces that give the third Renyi entropy of two intervals. We compute...

Let K\subset S^3 be a knot, X:= S^3\setminus K its complement, and T the circle group identified with R/Z. To any oriented long knot diagram of K, we associate a quadratic polynomial in...