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Tuesday, 28 May, 2019
Artur Avila, Giovanni Forni, Davide Ravotti, Corinna Ulcigrai

We consider irrational nilflows on any nilmanifold of step at least 2. We show that there exists a dense set of smooth time-changes such that any time-change in this class which is not...

arXiv:1905.11628
Thursday, 23 May, 2019
Marcos Marino, Tomas Reis

An important non-perturbative effect in quantum physics is the energy gap of superconductors, which is exponentially small in the coupling constant. A natural question is whether this effect can...

arXiv:1905.09569
Thursday, 23 May, 2019
Marcos Marino, Tomas Reis

We present a systematic procedure to extract the perturbative series for the ground state energy density in the Lieb-Liniger and Gaudin-Yang models, starting from the Bethe ansatz solution. This...

arXiv:1905.09575
Wednesday, 22 May, 2019
Andrea Manenti, Andreas Stergiou, Alessandro Vichi

We explore consequences of the Averaged Null Energy Condition (ANEC) for scaling dimensions \Delta of operators in four-dimensional \mathcal{N}=1 superconformal field theories. We show that in...

arXiv:1905.09293
Wednesday, 22 May, 2019
Jaiyul Yoo, Ermis Mitsou, Yves Dirian, Ruth Durrer

The background photon temperature \bar T is one of the fundamental cosmological parameters. Despite its significance, \bar T has never been allowed to vary in the data analysis, owing to the...

arXiv:1905.09288
Monday, 20 May, 2019
Alessio Figalli, Federico Glaudo

Given n≥3, consider the critical elliptic equation \Delta u + u^{2^*-1}=0 in \mathbb R^n with u>0. This equation corresponds to the Euler-Lagrange equation induced by the Sobolev embedding H^...

arXiv:1905.08203
Monday, 20 May, 2019
Alberto S. Cattaneo, Nima Moshayedi

These notes give an introduction to the mathematical framework of the Batalin-Vilkovisky and Batalin-Fradkin-Vilkovisky formalisms. Some of the presented content was given as a mini course by...

arXiv:1905.08047
Monday, 20 May, 2019
Jaiyul Yoo, Ermis Mitsou, Nastassia Grimm, Ruth Durrer, Alexandre Refregier

We develop a theoretical framework to describe the cosmological observables on the past light cone such as the luminosity distance, weak lensing, galaxy clustering, and the cosmic microwave...

arXiv:1905.08262
Thursday, 16 May, 2019
Alexandre Homrich, Joao Penedones, Jonathan Toledo, Balt C. van Rees, Pedro Vieira

We explore the space of consistent three-particle couplings in \mathbb Z_2-symmetric two-dimensional QFTs using two first-principles approaches. Our first approach relies solely on unitarity,...

arXiv:1905.06905
Wednesday, 15 May, 2019
Sébastien Ott, Yvan Velenik

We present a brief survey of rigorous results on the asymptotic behavior of correlations between two local functions as the distance between their support diverges, concentrating on the Ising...

arXiv:1905.06207
Saturday, 11 May, 2019
Anton Khoroshkin, Thomas Willwacher

We give a description of the operad formed by the real locus of the moduli space of stable genus zero curves with marked points \overline{{\mathcal M}_{0,{n+1}}}({\mathbb R}) in terms of a...

arXiv:1905.04499
Wednesday, 8 May, 2019
Johannes Alt, Raphaël Ducatez, Antti Knowles

We complete the analysis of the extremal eigenvalues of the the adjacency matrix A of the Erdős-Rényi graph G(N,d/N) in the critical regime d \asymp \log N of the transition uncovered in [arXiv:...

arXiv:1905.03243

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