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Nov 25, 2017

We thank Claudio Coriano, Emil Mottola, Adam Schwimmer and Stefan Theisen for discussions. The work of AB is supported in part by the National Science Foundation of Belgium (FWO) grant G.001.12 Odysseus, by the European Research Council grant ERC-20…

Renormalised 3-point functions of stress tensors and conserved curren…

We present a complete momentum-space prescription for the renormalisation of tensorial correlators in conformal field theories. Our discussion covers…
Jul 02, 2018
Statistical Mechanics

Characterising the nonequilibrium stationary states of Ornstein-Uhl…

We characterise the nonequilibrium stationary state of a generic multivariate Ornstein-Uhlenbeck process involving $N$ degrees of freedom. The irreve…
Apr 20, 2017
Statistical Mechanics

Generic phase coexistence in the totally asymmetric kinetic Ising mod…

The physical analysis of generic phase coexistence in the North-East-Center Toom model was originally given by Bennett and Grinstein. The gist of the…
Nov 20, 2017
Combinatorics
Mathematical Physics

Statistics of the Voronoi cell perimeter in large bi-pointed maps

We study the statistics of the Voronoi cell perimeter in large bi-pointed planar quadrangulations. Such maps have two marked vertices at a fixed give…
Jun 14, 2017
Conferences: ICLR
Machine Learning

Empirical Analysis of the Hessian of Over-Parametrized Neural Networks

We study the properties of common loss surfaces through their Hessian matrix. In particular, in the context of deep learning, we empirically show tha…
Mar 10, 2020
Statistical Mechanics
Computation and Language

On the coexistence of competing languages

We investigate the evolution of competing languages, a subject where much previous literature suggests that the outcome is always the domination of o…
Jan 02, 2020
Machine Learning
Disordered Systems and Neural Networks

Thresholds of descending algorithms in inference problems

We review recent works on analyzing the dynamics of gradient-based algorithms in a prototypical statistical inference problem. Using methods and insi…
Jun 17, 2014
Mathematical Physics

We provide an introduction to conformal field theory on the plane in the conformal bootstrap approach. We introduce the main ideas of the bootstrap approach to quantum field theory, and how they apply to two-dimensional theories with local conformal…

Conformal field theory on the plane

We provide an introduction to conformal field theory on the plane in the conformal bootstrap approach. We introduce the main ideas of the bootstrap a…
Apr 03, 2018
Physics and Society

The spatial organization of the population density in cities

Although the average population density of a city is an extremely simple indicator, it is often used as a determinant factor for describing various a…
May 08, 2016
Combinatorics
Mathematical Physics
Probability

Nesting statistics in the $O(n)$ loop model on random planar maps

In the $O(n)$ loop model on random planar maps, we study the depth -- in terms of the number of levels of nesting -- of the loop configuration, by me…
Oct 26, 2017

Signatures of graviton masses on the CMB

The impact of the existence of gravitons with non-vanishing masses on the B modes of the Cosmic Microwave Background (CMB) is investigated. We also f…
Jun 27, 2017
Combinatorics
Mathematical Physics

A universal law for Voronoi cell volumes in infinitely large maps

We discuss the volume of Voronoi cells defined by two marked vertices picked randomly at a fixed given mutual distance 2s in random planar quadrangul…
Feb 12, 2019
Statistical Mechanics

Coverage fluctuations in theater models

We introduce the theater model, which is the simplest variant of directed random sequential adsorption in one dimension with point source and steric …
May 17, 2017
Mathematical Physics

EFTofPNG: A package for high precision computation with the Effective…

We present a new public package "EFTofPNG" for high precision computation in the effective field theory of post-Newtonian (PN) Gravity, including spi…
Oct 14, 2018

A pseudo-conformal structure in dense baryonic matter

We sharpen and extend further the idea developed in \cite{PKLMR,MLPR} that baryonic matter at high density has an emergent "pseudo-conformal symmetry…
Oct 18, 2017

Resumming double non-global logarithms in the evolution of a jet

We consider the Banfi-Marchesini-Smye (BMS) equation which resums non-global energy logarithms in the QCD evolution of the energy lost by a pair of j…
Nov 22, 2018
Mathematical Physics
Quantum Algebra

In this section, we introduce a restricted version of the quantum enveloping Hopf algebra ¯¯¯¯Uqgl(1|1) with q being the primitive pth root of unity, where p is an odd integer. To simplify notation, it will be understood that within this section G=¯…

Combinatorial Quantisation of GL(1|1) Chern-Simons Theory I: The Torus

Chern-Simons Theories with gauge super-groups appear naturally in string theory and they possess interesting applications in mathematics, e.g. for th…
Oct 26, 2017
Physics and Society
Disordered Systems and Neural Networks

From global scaling to the dynamics of individual cities

Scaling has been proposed as a powerful tool to analyze the properties of complex systems, and in particular for cities where it describes how variou…
Oct 15, 2018

In this paper, we have presented a simple modeling of the Lyman-α forest statistics to estimate the impact of two modified-gravity scenarios, the f(R) and K-mouflage models.

Lyman-alpha power spectrum as a probe of modified gravity

We investigate the impact of modified-gravity models on the Lyman-$\alpha$ power spectrum. Building a simple analytical modeling, based on a truncate…
May 30, 2018
Strongly Correlated Electrons

We discuss the renormalisation of mixed 3-point functions involving tensorial and scalar operators in conformal field theories of general dimension. In previous work we analysed correlators of either purely scalar or purely tensorial operators, in e…

Renormalised CFT 3-point functions of scalars, currents and stress …

We discuss the renormalisation of mixed 3-point functions involving tensorial and scalar operators in conformal field theories of general dimension. …
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