By Honorary Associate Professor Ian Doust

Preprints

Doust I; Weston A, 2026, Squaring the circle: embedding $S^1$ in $\ell_1$, https://arxiv.org/abs/2608.10422v1

Blower G; Doust I, 2024, Linear systems, spectral curves and determinants, http://dx.doi.org/10.48550/arxiv.2409.15826

Doust I; Robertson G; Stoneham A; Weston A, 2020, Distance matrices of subsets of the Hamming cube, http://dx.doi.org/10.48550/arxiv.2005.09205

Al-shakarchi S; Doust I, 2020, $AC(σ)$ spaces for polygonally inscribed curves, https://doi.org/10.1007/s43037-020-00110-w

Blower G; Brett C; Doust I, 2019, Statistical Mechanics of the Periodic Benjamin-Ono Equation, http://dx.doi.org/10.48550/arxiv.1902.01153

Al-shakarchi S; Doust I, 2018, Isomorphisms of $AC(σ)$ spaces for linear graphs, https://doi.org/10.1007/s43036-020-00053-x

Doust I, 2018, A note on positive $\mathcal{AN}$ operators, http://dx.doi.org/10.48550/arxiv.1810.08286

Doust I; Al-shakarchi S, 2017, Isomorphisms of $AC(σ)$ spaces for countable sets, http://dx.doi.org/10.48550/arxiv.1710.09073

Blower G; Doust I, 2016, Operational calculus and integral transforms for groups with finite propagation speed, http://dx.doi.org/10.48550/arxiv.1509.00133

Blower G; Brett C; Doust I, 2014, Hill's Spectral Curves and the Invariant Measure of the Periodic KdV Equation, http://dx.doi.org/10.48550/arxiv.1409.8494

Doust I; Sánchez S; Weston A, 2014, A direct proof that $\ell_\infty^{(3)}$ has generalized roundness zero, http://dx.doi.org/10.48550/arxiv.1401.4095

Blower G; Brett C; Doust I, 2014, Logarithmic Sobolev inequalities and spectral concentration for the cubic Schrödinger equation, http://dx.doi.org/10.48550/arxiv.1308.3649

Doust I; Leinert M, 2013, Isomorphisms of $AC(σ)$ spaces, http://dx.doi.org/10.48550/arxiv.1312.2304

Doust I; Leinert M, 2013, Isomorphisms of $AC(σ)$ spaces, https://arxiv.org/abs/1312.2304v1

Doust I; Leinert M, 2013, Approximation in $AC(σ)$, https://www.researchgate.net/publication/259211398_Approximation_in_ACsigma

Doust I; Sánchez S; Weston A, 2013, The asymptotic enhanced negative type of finite ultrametric spaces, https://arxiv.org/abs/1308.1185v3

Caffarelli E; Doust I; Weston A, 2011, Metric trees of generalized roundness one, http://dx.doi.org/10.48550/arxiv.1008.3418

Ashton B; Doust I, 2008, Compact $AC(σ)$ operators, http://dx.doi.org/10.48550/arxiv.0807.1052

Doust I; Weston A, 2008, Enhanced negative type for finite metric trees, http://dx.doi.org/10.48550/arxiv.0705.0411

Doust I; Terauds V, 2008, Extensions of an $AC(σ)$ functional calculus, http://dx.doi.org/10.48550/arxiv.0803.2131

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