421 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University College LondonGB63 papers
- Systemic Risk CentreGB48 papers
- University of OxfordGB20 papers
- University of WarwickGB18 papers
- King's College LondonGB16 papers
- London Mathematical LaboratoryGB12 papers
- University of Illinois Urbana-ChampaignUS12 papers
- Centre National de la Recherche ScientifiqueFR11 papers
- Queen Mary University of LondonGB11 papers
- The Open UniversityGB11 papers
- City, University of LondonGB10 papers
- ETH ZurichCH10 papers
15 papers · 1 filter
A Unified Approach to Distance-Two Colouring of Graphs on Surfaces
Omid Amini, Louis Esperet, Jan van den Heuvel
In this paper we introduce the notion of -colouring of a graph : For given subsets of neighbours of , for every , this is a proper colouring of the verti…
Multiple local whittle estimation in stationary systems
P. M. Robinson
Moving from univariate to bivariate jointly dependent long-memory time series introduces a phase parameter , at the frequency of principal interest, zero; for short-memory ser…
Formality of the constructible derived category for spheres: A combinatorial and a geometric approach
Anne Balthasar
We describe the constructible derived category of sheaves on the -sphere, stratified in a point and its complement, as a dg module category of a formal dg algebra. We prove form…
When are quantum systems operationally independent?
Miklos Redei, Stephen J. Summers
We propose some formulations of the notion of "operational independence" of two subsystems of a larger quantum system and clarify their relation to other independence concepts in t…
Concentration of measure and mixing for Markov chains
Malwina J. Luczak
We consider Markovian models on graphs with local dynamics. We show that, under suitable conditions, such Markov chains exhibit both rapid convergence to equilibrium and strong con…
Smooth supersaturated models
Ron A. Bates, Hugo Maruri-Aguilar, Henry P. Wynn
In areas such as kernel smoothing and non-parametric regression there is emphasis on smooth interpolation and smooth statistical models. Splines are known to have optimal smoothnes…
Minimal average degree aberration and the state polytope for experimental designs
Yael Berstein, Hugo Maruri-Aguilar, Shmuel Onn +2
For a particular experimental design, there is interest in finding which polynomial models can be identified in the usual regression set up. The algebraic methods based on Groebner…
List Colouring Squares of Planar Graphs
Frédéric Havet, Jan van den Heuvel, Colin McDiarmid +1
In 1977, Wegner conjectured that the chromatic number of the square of every planar graph with maximum degree is at most . We show t…
Susceptibility in subcritical random graphs
Svante Janson, Malwina J. Luczak
We study the evolution of the susceptibility in the subcritical random graph as tends to infinity. We obtain precise asymptotics of its expectation and variance, and s…
Estimation of a semiparametric transformation model
Oliver Linton, Stefan Sperlich, Ingrid Van Keilegom
This paper proposes consistent estimators for transformation parameters in semiparametric models. The problem is to find the optimal transformation into the space of models with a…
Estimation of the covariance matrix of random effects in longitudinal studies
Yan Sun, Wenyang Zhang, Howell Tong
Longitudinal studies are often conducted to explore the cohort and age effects in many scientific areas. The within cluster correlation structure plays a very important role in lon…
Digital Ecosystems: Self-Organisation of Evolving Agent Populations
Gerard Briscoe, Philippe De Wilde
A primary motivation for our research in Digital Ecosystems is the desire to exploit the self-organising properties of biological ecosystems. Ecosystems are thought to be robust, s…
Asymptotic behaviour of a family of gradient algorithms in R^d and Hilbert spaces
Luc Pronzato, Henry P. Wynn, Anatoly A. Zhigljavsky
The asymptotic behaviour of a family of gradient algorithms (including the methods of steepest descent and minimum residues) for the optimisation of bounded quadratic operators in…
Parameterizations and fitting of bi-directed graph models to categorical data
Monia Lupparelli, Giovanni M. Marchetti, Wicher P. Bergsma
We discuss two parameterizations of models for marginal independencies for discrete distributions which are representable by bi-directed graph models, under the global Markov prope…
Random subgraphs of the 2D Hamming graph: the supercritical phase
Remco van der Hofstad, Malwina J. Luczak
We study random subgraphs of the 2-dimensional Hamming graph H(2,n), which is the Cartesian product of two complete graphs on vertices. Let be the edge probability, and wri…