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ABSTRACT. We consider the nearest-neighbor simple random walk on Z, d ≥ 2, driven by a field of i.i.d. random nearest-neighbor conductances ωxy ∈ [0, 1]. Apart from the requirement that the bonds with positive conductances percolate, we pose no restriction on the law of the ω’s. We prove that, for a.e. realization of the environment, the path distribution… (More)

- Timothy Prescott, Francis Edward Su
- J. Comb. Theory, Ser. A
- 2005

We present a constructive proof of Ky Fan’s combinatorial lemma concerning labellings of triangulated spheres. Our construction works for triangulations of Sn that contain a flag of hemispheres. As a consequence, we produce a constructive proof of Tucker’s lemma that holds for a larger class of triangulations than previous constructive proofs.

Extensions of the Borsuk-Ulam Theorem by Timothy Prescott

- Elizabeth H Foley, Martina Furegato, +5 authors Rajul Patel
- Sexually transmitted infections
- 2017

STUDY DESIGN
This study investigated whether access to genitourinary medicine (GUM) clinics meets UK-recommended standards.
METHODS
In January 2014 and 2015, postal questionnaires about appointment and service characteristics were sent to lead clinicians of UK GUM clinics. In February 2014 and 2015, researchers posing as symptomatic and asymptomatic… (More)

- Timothy Prescott, Francis Edward Su
- Random Struct. Algorithms
- 2004

Given n vectors {~ αi}i=1 ∈ [0, 1), consider a random walk on the ddimensional torus T = R/Z generated by these vectors by successive addition and subtraction. For certain sets of vectors, this walk converges to Haar (uniform) measure on the torus. We show that the discrepancy distance D(Q) between the k-th step distribution of the walk and Haar measure is… (More)

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