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Monday, 29 July, 2019
Jean-Pierre Eckmann, C. Eugene Wayne

We study metastable behavior in a discrete nonlinear Schrödinger equation from the viewpoint of Hamiltonian systems theory. When there are n < \infty sites in this equation, we consider...

arXiv:1907.12632
Thursday, 25 July, 2019
Varun Rustagi, Ruth Durrer

In this short paper we determine the effects of structure on the cosmological consistency relation which is valid in a perfect Friedmann Universe. We show that within \LambdaCDM the consistency...

arXiv:1907.11101
Tuesday, 23 July, 2019
Pranjal Nayak, Julian Sonner, Manuel Vielma

In this paper we provide a universal description of the behavior of the basic operators of the Schwarzian theory in pure states. When the pure states are energy eigenstates, expectation values...

arXiv:1907.10061
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...

arXiv:1907.09403
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...

arXiv:1907.07995
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...

arXiv:1907.05715
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...

arXiv:1907.03606
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...

arXiv:1907.03759
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...

arXiv:1907.02047
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...

arXiv:1907.01487
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...

arXiv:1907.01001
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...

arXiv:1906.10902

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