We study randomly growing trees governed by the affine preferential attachment rule. Starting with a seed tree S, vertices are attached one by one, each linked by an edge to a random vertex of...
Publications
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Wednesday, 31 October, 2018
arXiv:1810.13275
Tuesday, 30 October, 2018
We consider the S-matrix bootstrap of four dimensional scattering amplitudes with O(3) symmetry and no bound-states. We explore the allowed space of scattering lengths which parametrize the...
arXiv:1810.12849
Tuesday, 30 October, 2018
We perform a unified systematic analysis of d+1 dimensional, spin \ell representations of the isometry algebra of the maximally symmetric spacetimes AdS_d+1, \mathbb{R}_{1,d} and dS_d+1. This...
arXiv:1810.12923
Saturday, 27 October, 2018
The Ratner property, a quantitative form of divergence of nearby trajectories, is a central feature in the study of parabolic homogeneous flows. Discovered by Marina Ratner and used in her...
arXiv:1810.11576
Friday, 26 October, 2018
We show that the loop O(n) model exhibits exponential decay of loop sizes whenever n\geq 1 and x<\tfrac{1}{\sqrt{3}}+\varepsilon(n), for some suitable choice of \varepsilon(n)>0.
It...
arXiv:1810.11302
Wednesday, 24 October, 2018
Fixed points of scalar field theories with quartic interactions in d=4-\varepsilon dimensions are considered in full generality. For such theories it is known that there exists a scalar function...
arXiv:1810.10541
Monday, 15 October, 2018
The goal of this paper is to investigate the Theta invariant --- an invariant of framed 3-manifolds associated with the lowest order contribution to the Chern-Simons partition function --- in...
arXiv:1810.06663
Friday, 12 October, 2018
Uniform integer-valued Lipschitz functions on a domain of size N of the triangular lattice are shown to have variations of order \sqrt{\log N}.
The level lines of such functions form a...
arXiv:1810.05592
Thursday, 11 October, 2018
We prove a version of the Weak Gravity Conjecture for 6d F-theory or heterotic string compactifications with 8 supercharges. This sharpens our previous analysis by including massless scalar...
arXiv:1810.05169
Monday, 8 October, 2018
This text describes the content of the Takagi lectures given by the author in Kyoto in 2017. The lectures present some aspects of the theory of sharp thresholds for boolean functions and its...
arXiv:1810.03384
Thursday, 4 October, 2018
In this paper we give an overview of some recent progress in using holography to study various far-from-equilibrium condensed matter systems. Non-equilibrium problems are notoriously difficult...
arXiv:1810.02367
Friday, 21 September, 2018
We give a proof of the replica symmetric formula for the free energy of the Sherrington-Kirkpatrick model in high temperature which is based on the TAP formula. This is achieved by showing that...
arXiv:1809.07972