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26 papers · 1 filter
Small primitive roots and malleability of RSA moduli
Luis Dieulefait, Jorge Jimenez Urroz
In a paper of P. Paillier and J. Villar a conjecture is made about the malleability of an RSA modulus. In this paper we present an explicit algorithm refuting the conjecture. Concr…
Microscopic Theory of Black Hole Superradiance
Oscar J. C. Dias, Roberto Emparan, Alessandro Maccarrone
We study how black hole superradiance appears in string microscopic models of rotating black holes. In order to disentangle superradiance from finite-temperature effects, we consid…
Stability of de Sitter spacetime under isotropic perturbations in semiclassical gravity
Guillem Perez-Nadal, Albert Roura, Enric Verdaguer
A spatially flat Robertson-Walker spacetime driven by a cosmological constant is non-conformally coupled to a massless scalar field. The equations of semiclassical gravity are expl…
Applications of the Characteristic Theory to the Madelung-de Broglie-Bohm System of Partial Differential Equations: The Guiding Equation as the Characteristic Velocity
Javier Gonzalez, Xavier Gimenez, Josep Maria Bofill
First, we use the theory of characteristics of first order partial differential equations to derive the guiding equation directly from the Quantum Evolution Equation (QEE). After o…
How to facet a gemstone: from potential modularity to the proof of Serre's modularity conjecture
Luis Dieulefait
In this survey paper we present recent results obtained by Khare, Wintenberger and the author that have led to a proof of Serre's conjecture, such as existence of compatible famili…
Cardinal sequences of LCS spaces under GCH
Juan Carlos Martinez, Lajos Soukup
We give full characterization of the sequences of regular cardinals that may arise as cardinal sequences of locally compact scattered spaces under GCH. The proofs are based on cons…