633 citations
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8 papers · 1 filter
A -adic approach to the existence of level-raising congruences
Jack A. Thorne
We construct level-raising congruences between -ordinary automorphic representations, and apply this to the problem of symmetric power functoriality for Hilbert modular forms. I…
Field theory for the Almeida-Thouless transition
Tamás Temesvári, Imre Kondor
This work contains a review of the theoretical understanding for the Almeida-Thouless transition. The effective field theoretic model for this transition to the replica symmetry br…
Analytic solution of the resolvent equations for heterogeneous random graphs: spectral and localization properties
Jeferson D. Silva, Fernando L. Metz
The spectral and localization properties of heterogeneous random graphs are determined by the resolvent distributional equations, which have so far resisted an analytic treatment.…
A novel concept of fractal dimension in deterministic and stochastic Lorenz-63 systems
Tommaso Alberti, Davide Faranda, Valerio Lucarini +3
Many natural systems show emergent phenomena at different scales, leading to scaling regimes with signatures of chaos at large scales and an apparently random behavior at small sca…
Forecasting new diseases in low-data settings using transfer learning
Kirstin Roster, Colm Connaughton, Francisco A. Rodrigues
Recent infectious disease outbreaks, such as the COVID-19 pandemic and the Zika epidemic in Brazil, have demonstrated both the importance and difficulty of accurately forecasting n…
Stochastic Chaos and Predictability in Laboratory Earthquakes
Adriano Gualandi, Davide Faranda, Chris Marone +2
Laboratory earthquakes exhibit characteristics of a low dimensional random attractor with a dimension similar to that of natural slow earthquakes. A model of stochastic differentia…