School of Mathematical Scienceshttps://qmro.qmul.ac.uk/handle/123456789/34782019-01-16T07:46:37Z2019-01-16T07:46:37ZFinite noncommutative geometries related to F_p[x]MAJID, SHBASSETT, Mhttps://qmro.qmul.ac.uk/handle/123456789/546562019-01-15T17:30:10ZFinite noncommutative geometries related to F_p[x]
MAJID, SH; BASSETT, M
Election Forensics: Quantitative methods for electoral fraud detection.Lacasa, LFernández-Gracia, Jhttps://qmro.qmul.ac.uk/handle/123456789/546472019-01-15T14:30:14Z2018-11-22T00:00:00ZElection Forensics: Quantitative methods for electoral fraud detection.
Lacasa, L; Fernández-Gracia, J
The last decade has witnessed an explosion on the computational power and a parallel increase of the access to large sets of data - the so called Big Data paradigm - which is enabling to develop brand new quantitative strategies underpinning description, understanding and control of complex scenarios. One interesting area of application concerns fraud detection from online data, and more particularly extracting meaningful information from massive digital fingerprints of electoral activity to detect, a posteriori, evidence of fraudulent behavior. In this short article we discuss a few quantitative methodologies that have emerged in recent years on this respect, which altogether form the nascent interdisciplinary field of election forensics. Aiming to foster discussion and raise awareness on this interdisciplinary area, we hereby enumerate a few of the most relevant approaches and methods.
2018-11-22T00:00:00ZConstruction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the vacuum caseCarranza, DAKroon, JAVhttps://qmro.qmul.ac.uk/handle/123456789/546412019-01-15T12:30:35Z2018-12-20T00:00:00ZConstruction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the vacuum case
Carranza, DA; Kroon, JAV
2018-12-20T00:00:00ZA new phase transition in the parabolic Anderson model with partially duplicated potentialMuirhead, SPymar, RSidorova, Nhttps://qmro.qmul.ac.uk/handle/123456789/546332019-01-15T12:30:10Z2018-12-19T00:00:00ZA new phase transition in the parabolic Anderson model with partially duplicated potential
Muirhead, S; Pymar, R; Sidorova, N
We investigate a variant of the parabolic Anderson model, introduced in previous work, in which an i.i.d. potential is partially duplicated in a symmetric way about the origin, with each potential value duplicated independently with a certain probability. In previous work we established a phase transition for this model on the integers in the case of Pareto distributed potential with parameter $\alpha > 1$ and fixed duplication probability $p \in (0, 1)$: if $\alpha \ge 2$ the model completely localises, whereas if $\alpha \in (1, 2)$ the model may localise on two sites. In this paper we prove a new phase transition in the case that $\alpha \ge 2$ is fixed but the duplication probability $p(n)$ varies with the distance from the origin. We identify a critical scale $p(n) \to 1$, depending on $\alpha$, below which the model completely localises and above which the model localises on exactly two sites. We further establish the behaviour of the model in the critical regime.
34 pages
2018-12-19T00:00:00Z