Publications (7)
Polynomial largeness of sumsets and totally ergodic sets
A. Fish
We prove that a sumset of a TE subset of (\N) (these sets can be viewed as "aperiodic" sets) with a set of positive upper density intersects a set of values of any polynomial with…
The design, construction and performance of the MICE scintillating fibre trackers
M. Ellis, P. R. Hobson, P. Kyberd +49
Charged-particle tracking in the international Muon Ionisation Cooling Experiment (MICE) will be performed using two solenoidal spectrometers, each instrumented with a tracking det…
The behavior of iterations of the intersection body operator in a small neighborhood of the unit ball
A. Fish, F. Nazarov, D. Ryabogin +1
The intersection body of a ball is again a ball. So, the unit ball is a fixed point of the intersection body operator acting on the space of all star-shaped orig…
Ramsey properties of subsets of
A. Fish
We associate ergodic properties to some subsets of the natural numbers. For any given family of subsets of the natural numbers one may study the question of occurrence of certain "…
Characterisation of the muon beams for the Muon Ionisation Cooling Experiment
The MICE Collaboration, D. Adams, D. Adey +141
A novel single-particle technique to measure emittance has been developed and used to characterise seventeen different muon beams for the Muon Ionisation Cooling Experiment (MICE).…
Patterns in sets of positive density in trees and affine buildings
M. Björklund, A. Fish, J. Parkinson
We prove an analogue for homogeneous trees and certain affine buildings of a result of Bourgain on pinned distances in sets of positive density in Euclidean spaces. Furthermore, we…
MICE: the Muon Ionization Cooling Experiment. Step I: First Measurement of Emittance with Particle Physics Detectors
U. Bravar, M. Bogomilov, Y. Karadzhov +144
The Muon Ionization Cooling Experiment (MICE) is a strategic R&D project intended to demonstrate the only practical solution to providing high brilliance beams necessary for a neut…