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J. Melbourne

2 papers hereh-index 14579 citations57 works total

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author position
  • last author2

Across the 2 of 2 papers where every author was matched, so the position is known.

fields
  • math.PR2

identity via Semantic Scholar / OpenAlex

most citedConcentration inequalities for log-concave sequences

3 citations · 3 across the 2 of their papers we have counts for

collaborators

2 papers

math.PR2026

A note on the Littlewood-Offord problem for discrete log-concave distributions

Arnaud Marsiglietti, James Melbourne

We present an extension of the famous Littlewood-Offord problem when Bernoulli distributions are replaced with discrete log-concave distributions. A variant of the Littlewood-Offor…

math.PR2026★ 3 cited

Concentration inequalities for log-concave sequences

Arnaud Marsiglietti, James Melbourne

We investigate quantitative implications of the notion of log-concavity through a probabilistic interpretation. In particular, we derive concentration inequalities, moment and entr…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.