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ON the SECONDLARGEST SYLOW SUBGROUP of A FINITE SIMPLE GROUP of LIE TYPE
(Cambridge University Press, 201808)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 offpeak demand response
(Taylor & Francis (Routledge), 2018)This paper studies the optimal control of a commercial building’s thermostatic load during offpeak 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, 20170906)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 heavytailed at infinity. In this paper we investigate a modification ... 
Quenched localisation in the Bouchaud trap model with slowly varying traps
(Springer Verlag, 20160427)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, 201801)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 highenergy eigenfunctions of the ...