Julia Gordon

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The Langlands-Shelstad transfer factor is a function defined on some reductive groups over a p-adic field. Near the origin of the group, it may be viewed as a function on the Lie algebra. For classical groups, its values have the form q c sign, where sign ∈ {−1, 0, 1}, q is the cardinality of the residue field, and c is a rational number. The sign function(More)
We prove that ℓ 2 contains a dense set of vectors which are hypercyclic simultaneously for all multiples of the backward shift operator by constants of absolute value greater than 1. The focus of our study in this paper is the hypercyclic behavior (density of an orbit) for scalar multiples of the backward shift operator. For a linear topological space X, a(More)
We define a motivic analogue of the Haar measure for groups of the form G(k((t))), where k is an algebraically closed field of characteristic zero, and G is a reductive algebraic group defined over k. A classical Haar measure on such groups does not exist since they are not locally compact. We use the theory of motivic integration introduced by M.(More)
Market-based algorithms have become popular in collaborative multi-agent planning due to their simplicity, distributedness, low communication requirements, and proven success in domains such as task allocation and robotic exploration. Most existing market-based algorithms, however, suffer from two main drawbacks: resource prices must be carefully(More)
OBJECTIVES The purpose of this study was to investigate the effects of background noise and reverberation on listening effort. Four specific research questions were addressed related to listening effort: (A) With comparable word recognition performance across levels of reverberation, what are the effects of noise and reverberation on listening effort? (B)(More)
We give a motivic proof of a character formula for depth zero su-percuspidal representations of p-adic SL(2). We begin by finding the virtual Chow motives for the character values of all depth zero supercuspidal representations of p-adic SL(2), at topologically unipotent elements. Then we find the virtual Chow motives for the values of the Fourier transform(More)
  • Raf Cluckers, Clifton Cunningham, Julia Gordon, Loren Spice
  • 2011
This paper is concerned with the values of Harish-Chandra characters of a class of positive-depth, toral, very supercuspidal representations of p-adic symplectic and special orthogonal groups, near the identity element. We declare two representations equivalent if their characters coincide on a specific neighbourhood of the identity (which is larger than(More)
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