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Monday, 17 September, 2018
Samuel Favrod, Domenico Orlando, Susanne Reffert

In this note, we perform the large-charge expansion for non-relativistic systems with a global U(1) symmetry in 3+1 and 2+1 space-time dimensions, motivated by applications to the unitary Fermi...

arXiv:1809.06371
Friday, 14 September, 2018
Artem Borin, Eugene Sukhorukov

In this work we investigate the phenomena associated with the new thresholds in the spectrum of excitations arising when different one-dimensional strongly interacting systems are voltage biased...

arXiv:1809.05537
Sunday, 9 September, 2018
Alessio Figalli

The aim of this note is to review some recent developments on the regularity theory for the stationary and parabolic obstacle problems. After a general overview, we present some recent results...

arXiv:1809.02932
Thursday, 6 September, 2018
Niels Benedikter, Phan Thành Nam, Marcello Porta, Benjamin Schlein, Robert Seiringer

While Hartree-Fock theory is well established as a fundamental approximation for interacting fermions, it has been unclear how to describe corrections to it due to many-body correlations. In...

arXiv:1809.01902
Thursday, 6 September, 2018
Lorenz Halbeisen, Norbert Hungerbühler

We give an infinite family of congruent number elliptic curves, each with rank at least two, which are related to integral solutions of m^2=n^2+nl+l^2.

arXiv:1809.02037
Tuesday, 4 September, 2018
Hugo Duminil-Copin, Shirshendu Ganguly, Alan Hammond, Ioan Manolescu

Let c_n = c_n(d) denote the number of self-avoiding walks of length n starting at the origin in the Euclidean nearest-neighbour lattice \mathbb{Z}^d. Let \mu = \lim_n c_n^{1/n} denote the...

arXiv:1809.00760
Monday, 3 September, 2018
Martin Fraas, Gian Michele Graf, Lisa Hänggli

The measurement of a quantum system becomes itself a quantum-mechanical process once the apparatus is internalized. That shift of perspective may result in different physical predictions for a...

arXiv:1809.00516
Wednesday, 29 August, 2018
Norbert Hungerbühler, Micha Wasem

Given a real function f on an interval [a,b] satisfying mild regularity conditions, we determine the number of zeros of f by evaluating a certain integral. The integrand depends on f,f′ and f...

arXiv:1808.09690
Tuesday, 28 August, 2018
Yukun He, Antti Knowles, Matteo Marcozzi

We prove a local law for the adjacency matrix of the Erd\H{o}s-R\'enyi graph G(N,p) in the supercritical regime pN \geq C\log N where G(N,p) has with high probability no isolated vertices. In...

arXiv:1808.09437
Tuesday, 28 August, 2018
Yukun He, Antti Knowles

The celebrated Wigner-Gaudin-Mehta-Dyson (WGMD) (or sine kernel) statistics of random matrix theory describes the universal correlations of eigenvalues on the microscopic scale, i.e....

arXiv:1808.09436
Tuesday, 28 August, 2018
Victor Gorbenko, Slava Rychkov, Bernardo Zan

We study complex CFTs describing fixed points of the two-dimensional Q-state Potts model with Q>4. Their existence is closely related to the weak first-order phase transition and walking RG...

arXiv:1808.04380
Thursday, 23 August, 2018
Adrian del Rio, Ruth Durrer, Subodh P. Patil

During single clock inflation, hidden fields (i.e. fields coupled to the inflaton only gravitationally) in their adiabatic vacua can ordinarily only affect observables through virtual effects....

arXiv:1808.09282

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