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researcher

I. Melbourne

59 papers hereh-index 426.2k citations168 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author3
  • first author17
  • middle author8
  • last author30

Across the 58 of 59 papers where every author was matched, so the position is known.

fields
  • math.DS50
  • nlin.CD4
  • math.PR3
  • nlin.PS2
same name
  • I. Melbourne — 8 papers, h 4

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity
20022023
most citedA New Test for Chaos

688 citations · 2.4k across the 52 of their papers we have counts for

collaborators
Showing 2008Show all

1 paper · 1 filter

math.DS2008★ 22 cited

Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows

Péter Bálint, Ian Melbourne

Following recent work of Chernov, Markarian, and Zhang, it is known that the billiard map for dispersing billiards with zero angle cusps has slow decay of correlations with rate 1/…

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