Outputs (184)

Non-abelian p-adic L-functions and Eisenstein series of unitary groups -The CM method (2014)
Journal Article
Bouganis, A. (2014). Non-abelian p-adic L-functions and Eisenstein series of unitary groups -The CM method. Annales de l'Institut Fourier, 64(2), 793-891. https://doi.org/10.5802/aif.2866

In this work we prove various cases of the so-called “torsion congruences” between abelian p-adic L-functions that are related to automorphic representations of definite unitary groups. These congruences play a central role in the non-commutative Iwa... Read More about Non-abelian p-adic L-functions and Eisenstein series of unitary groups -The CM method.

The Kanenobu knots and Khovanov-Rozansky homology (2014)
Journal Article
Lobb, A. (2014). The Kanenobu knots and Khovanov-Rozansky homology. Proceedings of the American Mathematical Society, 142(4), 1447-1455. https://doi.org/10.1090/s0002-9939-2014-11863-6

Kanenobu has given infinite families of knots with the same HOMFLYPT polynomials. We show that these knots also have the same and HOMFLYPT homologies, thus giving the first example of an infinite family of knots indistinguishable by these invariants.... Read More about The Kanenobu knots and Khovanov-Rozansky homology.

Smooth attractors for the quintic wave equations with fractional damping (2014)
Journal Article
Savostianov, A., & Zelik, S. (2014). Smooth attractors for the quintic wave equations with fractional damping. Asymptotic Analysis, 87(3-4), 191-221. https://doi.org/10.3233/asy-131208

Dissipative wave equations with critical quintic nonlinearity and damping term involving the fractional Laplacian are considered. The additional regularity of energy solutions is established by constructing the new Lyapunov-type functional and based... Read More about Smooth attractors for the quintic wave equations with fractional damping.

Laplace’s Demon and the Adventures of His Apprentices (2014)
Journal Article
Frigg, R., Bradley, S., Du, H., & Smith, L. A. (2014). Laplace’s Demon and the Adventures of His Apprentices. Philosophy of Science, 81(1), 31-59. https://doi.org/10.1086/674416

The sensitive dependence on initial conditions (SDIC) associated with nonlinear models imposes limitations on the models’ predictive power. We draw attention to an additional limitation than has been underappreciated, namely, structural model error (... Read More about Laplace’s Demon and the Adventures of His Apprentices.