Johannes Alt,Raphael Ducatez,Antti Knowles
Johannes Alt
We analyse the eigenvectors of the adjacency matrix of a critical Erdős-Rényi graph G ( N , d / N ) , where d is of order log N . We show that its spectrum splits into two phases: a delocalized phase in the middle of the spectrum, where...
Jan Burczak,Stefano Modena,László Székelyhidi
Jan Burczak
We apply the technique of convex integration to obtain non-uniqueness and existence results for power-law fluids, in dimension d ≥ 3 . For the power index q below the compactness threshold, i.e. q ∈ ( 1 , 2 d d + 2 ) , we sho...
Yan Guo,Mahir Hadžić,Juhi Jang
Yan Guo
Using numerical integration, in 1969 Penston (Mon Not R Astr Soc 144:425-448, 1969) and Larson (Mon Not R Astr Soc 145:271-295, 1969) independently discovered a self-similar solution describing the collapse of a self-gravitating asymptotica...
Stavros Garoufalidis,Jie Gu,Marcos Mariño
Stavros Garoufalidis
The asymptotic expansion of quantum knot invariants in complex Chern-Simons theory gives rise to factorially divergent formal power series. We conjecture that these series are resurgent functions whose Stokes automorphism is given by a pair...
Michael Eichmair,Gregory J Galloway,Abraão Mendes
Michael Eichmair
We prove several rigidity results related to the spacetime positive mass theorem. A key step is to show that certain marginally outer trapped surfaces are weakly outermost. As a special case, our results include a rigidity result for Rieman...
G Canepa,A S Cattaneo,M Schiavina
G Canepa
In this note the AKSZ construction is applied to the BFV description of the reduced phase space of the Einstein-Hilbert and of the Palatini-Cartan theories in every space-time dimension greater than two. In the former case one obtains a BV ...
Kasia Rejzner,Michele Schiavina
Kasia Rejzner
We show how to derive asymptotic charges for field theories on manifolds with "asymptotic" boundary, using the BV-BFV formalism. We also prove that the conservation of said charges follows naturally from the vanishing of the BFV boundary ac...
Filippo Giuliani,Marcel Guardia,Pau Martin et al.
Filippo Giuliani et al.
We consider the nonlinear cubic Wave, the Hartree and the nonlinear cubic Beam equations on T 2 and we prove the existence of different types of solutions which exchange energy between Fourier modes in certain time scales. This exchange c...
Simon Becker,Nilanjana Datta,Ludovico Lami et al.
Simon Becker et al.
Various quantum analogues of the central limit theorem, which is one of the cornerstones of probability theory, are known in the literature. One such analogue, due to Cushen and Hudson, is of particular relevance for quantum optics. It impl...
Francis Brown,Clément Dupont
Francis Brown
We study open and closed string amplitudes at tree-level in string perturbation theory using the methods of single-valued integration which were developed in the prequel to this paper (Brown and Dupont in Single-valued integration and doubl...