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Existence of Mori fibre spaces for 3-folds in char p
(ElsevierAdvances in Mathematics, 2017-06-20)
We prove the following results for projective klt pairs of dimension 3 over an algebraically closed field of characteristic $p$>5: the cone theorem, the base point free theorem, the contraction theorem, finiteness of minimal ...
Critical Exponents on Fortuin-Kasteleyn Weighted Planar Maps
(SpringerCOMMUNICATIONS IN MATHEMATICAL PHYSICS, 2017-10-01)
In this paper we consider random planar maps weighted by the self-dual Fortuin--Kasteleyn model with parameter $q \in (0,4)$. Using a bijection due to Sheffield and a connection to planar Brownian motion in a cone we obtain ...
RANDOM WALKS ON THE RANDOM GRAPH
(ANNALS OF PROBABILITY, 2018-01)
Homological stability for spaces of embedded surfaces
(Mathematical Sciences PublisherGeometry and Topology, 2017-05-10)
© 2017, Mathematical Sciences Publishers. All rights reserved.We study the space of oriented genus-g subsurfaces of a fixed manifold M and, in particular, its homological properties. We construct a “scanning map” which ...
Small-amplitude swimmers can self-propel faster in viscoelastic fluids
(ElsevierJournal of Theoretical Biology, 2015-07-08)
Many small organisms self-propel in viscous fluids using travelling wave-like deformations of their bodies or appendages. Examples include small nematodes moving through soil using whole-body undulations or spermatozoa ...
The stress–pressure relationship in simulations of MRI-induced turbulence
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2016-01-01)
We determine how MRI (magnetorotational instability)-turbulent stresses depend on gas pressure via a suite of unstratified shearing box simulations. Earlier numerical work reported only a very weak dependence at best, ...
Growth of eccentric modes in disc–planet interactions
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2016-03-07)
We formulate a set of linear equations that describe the behaviour of small eccentricities in a protoplanetary system consisting of a gaseous disc and a planet. Eccentricity propagates through the disc by means of pressure ...
Destruction of large-scale magnetic field in nonlinear simulations of the shear dynamo
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2016-03-03)
The Sun's magnetic field exhibits coherence in space and time on much larger scales than the turbulent convection that ultimately powers the dynamo. In the past the α-effect (mean-field) concept has been used to model the ...
On the convective overstability in protoplanetary discs
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2016-01-21)
This paper explores the driving of low-level hydrodynamical activity in protoplanetary-disc dead zones. A small adverse radial entropy gradient, ordinarily stabilized by rotation, excites oscillatory convection (‘convective ...
Asymptotic analysis of cold sandwich rolling
(ElsevierInternational Journal of Mechanical Sciences, 2015-12-22)
An analytical model for the cold rolling of sandwich sheets is proposed, assuming a rigid-plastic flow rule and Coulomb friction. Asymptotic analysis is used to solve the equations based on the assumptions of small aspect ...