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Nikita Nikolaev

11 papers hereh-index 357 citations18 works total

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

author position
  • sole author7
  • middle author2
  • last author2

Across the 11 of 11 papers where every author was matched, so the position is known.

fields
  • math.CA3
  • math.AG2
  • math.DG2
  • math.AP1
  • math.CV1
  • math.GT1

identity via Semantic Scholar / OpenAlex

activity
20192026
most citedExistence and Uniqueness of Exact WKB Solutions for Second-Order Singularly Perturbed Linear ODEs

16 citations · 39 across the 10 of their papers we have counts for

collaborators
Showing math.DGShow all

2 papers · 1 filter

math.DG2025

Resurgence of Tritronquées Solutions of the Deformed Painlevé I Equation

Mohamad Alameddine, Olivier Marchal, Nikita Nikolaev +1

We prove that the formal ℏ-power series solution of the deformed Painlevé I equation is resurgent, which means it is generically Borel summable and its Borel transform admits…

math.DG2024★ 1 cited

Geometry and Resurgence of WKB Solutions of Schrödinger Equations

Nikita Nikolaev

We prove that formal WKB solutions of Schrödinger equations on Riemann surfaces are resurgent. Specifically, they are Borel summable in almost all directions and their Borel transf…

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