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On some partial differential equation models in socio-economic contexts - analysis and numerical simulations
(University of CambridgeDepartent of Applied Mathhematics and Theoretical PhysicsTrinity College, 2012-01-10)
This thesis deals with the analysis and numerical simulation of different partial differential equation models arising in socioeconomic sciences. It is divided into two parts: The first part deals with a mean-field price ...
Dynamical instabilities in disc-planet interactions
(University of Cambridge, 2012-01-10)
Protoplanetary discs can be dynamically unstable due to structure induced
by an embedded giant planet. In this thesis, I discuss the stability of such
systems and explore the consequence of instability on planetary ...
Variable selection with error control: Another look at Stability Selection
(Wiley on behalf of the Royal Statistical SocietyJournal of the Royal Statistical Society: Series B (Statistical Methodology), 2012-06-21)
Stability Selection was recently introduced by Meinshausen and B¨uhlmann (2010)
as a very general technique designed to improve the performance of a variable selection algorithm.
It is based on aggregating the results of ...
Sharp trace inequalities for fractional Laplacians
(American Mathematical SocietyProceedings of the American Mathematical Society, 2012-04-05)
The sharp trace inequality of José Escobar is extended to traces for the fractional Laplacian on Rⁿ and a complete characterization of cases of equality is discussed. The proof proceeds via Fourier transform and uses Lieb’s ...
Further evidence for lattice-induced scaling
(Journal of High Energy Physics, 2012-12-05)
Optical conductivity with holographic lattices
(Journal of High Energy Physics, 2012-08-06)
Black funnels
(Journal of High Energy Physics, 2012-12-01)
Algebraic boundaries of Hilbert's SOS cones
(Cambridge University PressCompositio Mathematica, 2012-10-15)
We study the geometry underlying the difference between nonnegative
polynomials and sums of squares. The hypersurfaces that discriminate
these two cones for ternary sextics and quaternary quartics are shown
to be ...
Ample subvarieties and q-ample divisors
(ElsevierAdvances in Mathematics, 2012-03-20)
We introduce a notion of ampleness for subschemes of any codimension
using the theory of q-ample line bundles. We also investigate certain geometric
properties satisfied by ample subvarieties, e.g. the Lefschetz ...
Multiple functionally divergent and conserved copies of alpha tubulin in bdelloid rotifers
(2012-08-17)
AbstractBackgroundBdelloid rotifers are microscopic animals that have apparently survived without sex for millions of years and are able to survive desiccation at all life stages through a process called anhydrobiosis. ...