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Abstract
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We give various near-optimal characterizations of random walks over finite
abelian groups with large maximum discrepancy from the uniform measure.
We also provide several interesting connections to existing results in the
literature.
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Keywords
Littlewood–Offord, anticoncentration, inverse problems
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Mathematical Subject Classification
Primary: 11B25, 60B15
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Milestones
Received: 21 August 2023
Revised: 31 December 2023
Accepted: 16 January 2024
Published: 13 March 2024
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© 2024 The Author(s), under
exclusive license to MSP (Mathematical Sciences
Publishers). |
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