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Published in 2019 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ab11d7
Abstract: We consider a set of Euclidean optimization problems in one dimension, where the cost function associated to the couple of points $x$ and $y$ is the Euclidean distance between them to an arbitrary power $p\ge1$,…
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Keywords:
random euclidean;
euclidean optimization;
integrals random;
optimization problems ... See more keywords
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Published in 2020 at "Compositio Mathematica"
DOI: 10.1112/s0010437x2000706x
Abstract: We construct analogues of Rankin–Selberg integrals for Speh representations of the general linear group over a $p$-adic field. The integrals are in terms of the (extended) Shalika model and are expected to be the local…
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Keywords:
rankin selberg;
local rankin;
model;
selberg integrals ... See more keywords