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Recent Submissions
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ON the SECOND-LARGEST SYLOW SUBGROUP of A FINITE SIMPLE GROUP of LIE TYPE
(Cambridge University Press, 2018-08)Let be a finite simple group of Lie type in characteristic, and let be a Sylow subgroup of with maximal order. It is well known that is a Sylow -subgroup except for an explicit list of exceptions and that is always 'large' ... -
Optimal control of a commercial building's thermostatic load for off-peak demand response
(Taylor & Francis (Routledge), 2018)This paper studies the optimal control of a commercial building’s thermostatic load during off-peak hours as an ancillary service to the power grid. It provides an algorithmic framework that commercial buildings can ... -
Delocalising the parabolic Anderson model through partial duplication of the potential
(Springer Verlag, 2017-09-06)The parabolic Anderson model on $\mathbb{Z}^d$ with i.i.d. potential is known to completely localise if the distribution of the potential is sufficiently heavy-tailed at infinity. In this paper we investigate a modification ... -
Quenched localisation in the Bouchaud trap model with slowly varying traps
(Springer Verlag, 2016-04-27)We consider the quenched localisation of the Bouchaud trap model on the positive integers in the case that the trap distribution has a slowly varying tail at infinity. Our main result is that for each $N \in \{2, 3, \ldots\}$ ... -
Discretisation schemes for level sets of planar Gaussian fields
(Elsevier, 2018-01)Smooth random Gaussian functions play an important role in mathematical physics, a main example being the random plane wave model conjectured by Berry to give a universal description of high-energy eigenfunctions of the ...
