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researcher

P. Lopatto

39 papers hereh-index 10329 citations42 works total

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

author position
  • sole author3
  • first author5
  • middle author10
  • last author21

Across the 39 of 39 papers where every author was matched, so the position is known.

fields
  • math.PR27
  • math.ST5
  • cs.IT1
  • cs.LG1
  • math.AG1
  • math.CV1

identity via Semantic Scholar / OpenAlex

activity
20142026
most citedFluctuations in local quantum unique ergodicity for generalized Wigner matrices

22 citations · 30 across the 31 of their papers we have counts for

collaborators
Showing 2025Show all

2 papers · 1 filter

math.PR2025

Mobility Edge for the Anderson Model on the Bethe Lattice

Amol Aggarwal, Patrick Lopatto

We pinpoint the spectral decomposition for the Anderson tight-binding model with an unbounded random potential on the Bethe lattice of sufficiently large degree. We prove that ther…

math.PR2025

Maximum gap in complex Ginibre matrices

Patrick Lopatto, Moritz Otto

We determine the asymptotic size of the largest gap between bulk eigenvalues in complex Ginibre matrices.

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