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- Andrew R. Wade
- 2006

We give laws of large numbers (in the Lp sense) for the total length of the k-nearest neighbours (directed) graph and the j-th nearest neighbour (directed) graph in Rd, d ∈ N, with power-weighted… (More)

We study stochastic billiards in infinite planar domains with curvilinear boundaries: that is, piecewise deterministic motion with randomness introduced via random reflections at the domain boundary.… (More)

x ξxδx where the sum is over points x of a Poisson point process of intensity λ on a bounded region in d-space, and ξx is a functional determined by the Poisson points near to x, i.e. satisfying an… (More)

In Bhatt and Roy’s minimal directed spanning tree (MDST) construction for a random partially ordered set of points in the unit square, all edges must respect the “coordinatewise” partial order and… (More)

- Andrew R. Wade
- 2008

The on-line nearest-neighbour graph on a sequence of n uniform random points in (0, 1)d (d ∈ N) joins each point after the first to its nearest neighbour amongst its predecessors. For the total… (More)

- Mathew D. Penrose, Andrew R. Wade
- Random Struct. Algorithms
- 2008

In the on-line nearest-neighbour graph (ONG), each point after the first in a sequence of points in R is joined by an edge to its nearest-neighbour amongst those points that precede it in the… (More)

- Whansun Kim, Whansun Kim, +481 authors Ronen Weiss
- 2017

We present the result of searches for gravitational waves from 200 pulsars using data from the first observing run of the Advanced LIGO detectors. We find no significant evidence for a… (More)

Let M be a random m × n matrix with binary entries and i.i.d. rows. The weight (i.e., number of ones) of a row has a specified probability distribution, with the row chosen uniformly at random given… (More)

- F. Garufi, Marcelli Eliotério Gaspar, +485 authors A. J. R. Weinstein
- 2013

We present the results of the first search for gravitational wave bursts associated with high energy neutrinos. Together, these messengers could reveal new, hidden sources that are not observed by… (More)

- Andrew R. Wade, Georgia L Mansell, +4 authors David E. McClelland
- Scientific reports
- 2015

Non-classical squeezed states of light are becoming increasingly important to a range of metrology and other quantum optics applications in cryptography, quantum computation and biophysics.… (More)