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...
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Monday, 22 July, 2019
arXiv:1907.09403
Thursday, 18 July, 2019
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
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
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
Monday, 8 July, 2019
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
Wednesday, 3 July, 2019
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
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
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
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
Wednesday, 19 June, 2019
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...
arXiv:1906.08098
Thursday, 13 June, 2019
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...
arXiv:1906.05809
Tuesday, 11 June, 2019
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...
arXiv:1906.04500