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researcher

P. Biane

6 papers hereh-index 273.5k citations64 works total

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

author position
  • sole author2
  • first author4

Across the 6 of 6 papers where every author was matched, so the position is known.

fields
  • math.OA3
  • math.RT2
  • math.PR1
same name
  • P. Biane — 1 paper, h 14

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
19992004
most citedLittelmann paths and brownian paths

89 citations · 102 across the 2 of their papers we have counts for

collaborators
Showing 2000 · math.OAShow all

1 paper · 2 filters

math.OA2000

A Free Probability Analogue of the Wasserstein Metric on the Trace-State Space

Philippe Biane, Dan Voiculescu

We define a free probability analogue of the Wasserstein metric, which extends the classical one. In dimension one, we prove that the square of the Wasserstein distance to the semi…

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