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Aurel I. Stan

Mathematics · The Ohio State University

OpenAlex ORCID
Established · publishing since 1999Rising activity
Random Matrices and Applicationsadvanced mathematical theoriesMathematical functions and polynomialsStochastic processes and financial applicationsAdvanced Harmonic Analysis Research

Publications

70

Citations

316

Est. group size

—

Recurring co-author estimate

Active years

28

Publishing since 1999

Research summary
AI-generated

Aurel I. Stan works in probability theory and mathematical physics, focusing on how random variables can be represented and studied using algebraic tools like 'quantum operators' (number, creation, and annihilation operators borrowed from quantum mechanics). His work connects abstract probability distributions (such as Meixner and semicircle distributions) to operator theory, polynomial algebras, and occasionally applications in biology and physics. Students would engage with rigorous mathematical proofs bridging probability, algebra, and quantum probability theory.

Quantum probability and operator theoryRandom variables and probability distributionsPolynomial algebras and special functionsMathematical physics applicationsStochastic analysis

Publication output has been fairly steady at 1-3 papers per year over most of the last decade, with a notable spike to 7 publications in 2023.

Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026

Publication cadence
Publications per year over the last 10 years — averaging 2.4/year recently
2017: 1 publication172018: 2 publications182019: 2 publications192020: 3 publications202021: 2 publications212022: 1 publication222023: 7 publications7232024: 3 publications24252026: 1 publication26
Recent publications
Publishes in
  • Infinite Dimensional Analysis Quantum Probability and Related Topics×5
  • arXiv (Cornell University)×5
  • Journal of Mathematical Physics×3
  • Journal of Stochastic Analysis×3
  • Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna)×2
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This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.

Last updated Jul 19, 2026.

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