Monday, 22 July, 2019
Xavier Cabre, Alessio Figalli, Xavier Ros-Oton, Joaquim Serra

In this paper we prove the following long-standing conjecture: stable solutions to semilinear elliptic equations are bounded (and thus smooth) in dimension n \leq 9.
This result, that was...

Thursday, 18 July, 2019
Francesco Bonechi, Alberto S. Cattaneo, Jian Qiu, Maxim Zabzine

We study an equivariant extension of the Batalin-Vilkovisky formalism for quantizing gauge theories. Namely, we introduce a general framework to encompass failures of the quantum master equation...

Thursday, 11 July, 2019
Arthur Jacot, Franck Gabriel, Clément Hongler

In this paper, we analyze a number of architectural features of Deep Neural Networks (DNNs), using the so-called Neural Tangent Kernel (NTK). The NTK describes the training trajectory and...

Monday, 8 July, 2019
Domenico Orlando, Susanne Reffert, Yuta Sekiguchi, Kentaroh Yoshida

In this note, we study the action of O(d,d) transformations on the integrable structure of two-dimensional non-linear sigma models via the doubled formalism. We construct the Lax pairs...

Monday, 8 July, 2019
Jérémie Francfort, Basundhara Ghosh, Ruth Durrer

Even though we know that physical observations are frame independent, the frame dependence of cosmological perturbations is relatively subtle and has led to confusion in the past. In this paper...

Wednesday, 3 July, 2019
Enis Belgacem, Yves Dirian, Andreas Finke, Stefano Foffa, Michele Maggiore

We discuss a modified gravity model which fits cosmological observations at a level statistically indistinguishable from \LambdaCDM and at the same time predicts very large deviations from...

Tuesday, 2 July, 2019
Enis Belgacem, Yves Dirian, Stefano Foffa, Eric J. Howell, Michele Maggiore, Tania Regimbau

Gravitational-wave (GW) detectors can contribute to the measurement of cosmological parameters and to testing the dark-energy sector of alternatives to \LambdaCDM, by using standard sirens. In...

Monday, 1 July, 2019
Nikolay Gromov, Amit Sever

In our previous paper we derived the holographic dual of the planar fishnet CFT in four dimensions. The dual model becomes classical in the strongly coupled regime of the CFT and takes the form...

Wednesday, 26 June, 2019
Edvin G. Idrisov, Ivan P. Levkivskyi, Eugene V. Sukhorukov

We present the theoretical model of the "quantum ammeter", a device that is able to measure the full counting statistics of an electron current at quantum time scales. It consists of an Ohmic...

Wednesday, 19 June, 2019
Joan Elias Miro, Andrea L. Guerrieri, Aditya Hebbar, Joao Penedones, Pedro Vieira

We bootstrap the S-matrix of massless particles in unitary, relativistic two dimensional quantum field theories. We find that the low energy expansion of such S-matrices is strongly constrained...

Thursday, 13 June, 2019
Alain-Sol Sznitman

We investigate certain large deviation asymptotics concerning random interlacements in Z^d, d bigger or equal to 3. We find the principal exponential rate of decay for the probability that the...

Tuesday, 11 June, 2019
Grigory Mikhalkin, Johannes Rau

To every rational complex curve C \subset (\mathbf{C}^\times)^n we associate a rational tropical curve \Gamma \subset \mathbf{R}^n so that the amoeba \mathcal{A}(C) \subset \mathbf{R}^n of C is...