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^...
Publications
Pages
Monday, 20 May, 2019
arXiv:1905.08203
Monday, 20 May, 2019
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
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
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
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
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
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
Friday, 3 May, 2019
We develop the general theory of the angular N-point spectra and derive the cosmic variance on the light cone. While the angular bispectrum and the trispectrum are well developed in literature,...
arXiv:1905.01293
Thursday, 2 May, 2019
While the Chow groups of 0-dimensional cycles on the moduli spaces of Deligne-Mumford stable pointed curves can be very complicated, the span of the 0-dimensional tautological cycles is always...
arXiv:1905.00769
Tuesday, 30 April, 2019
We apply the large-charge limit to the first known example of a four-dimensional gauge-Yukawa theory featuring an ultraviolet interacting fixed point in all couplings. We determine the energy of...
arXiv:1905.00026
Monday, 29 April, 2019
We prove an adiabatic theorem for the Landau-Pekar equations. This allows us to derive new results on the accuracy of their use as effective equations for the time evolution generated by the...
arXiv:1904.12532
Sunday, 28 April, 2019
We address the spectral problem of the normal quantum mechanical operator associated to the quantized mirror curve of the toric (almost) del Pezzo Calabi--Yau threefold called local \mathbb{P}^2...
arXiv:1904.12315