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· 2025 · arXiv 2504.11593

2 Pith papers cite this work. Polarity classification is still indexing.

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math.PR 2

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2026 2

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UNVERDICTED 2

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P\'olya--Schur problems and free probability

math.PR · 2026-05-29 · unverdicted · novelty 8.0

Any free additive infinitely divisible distribution is the weak limit of root distributions of Appell polynomials f_n(∂_z)z^n for Laguerre-Pólya sequences f_n, with extensions to multiplicative cases, rectangular convolution, and limiting Cauchy distribution for Jensen polynomials of the Riemann Xi-

Finite free perpetuities

math.PR · 2026-06-17 · unverdicted · novelty 7.0

Finite free perpetuities are defined as degree-n monic polynomials solving a truncated perpetuity equation; the paper proves existence, uniqueness, real nonnegative zeros for admissible (A,B), and weak convergence of root distributions to free perpetuity laws.

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Showing 2 of 2 citing papers.

  • P\'olya--Schur problems and free probability math.PR · 2026-05-29 · unverdicted · none · ref 51

    Any free additive infinitely divisible distribution is the weak limit of root distributions of Appell polynomials f_n(∂_z)z^n for Laguerre-Pólya sequences f_n, with extensions to multiplicative cases, rectangular convolution, and limiting Cauchy distribution for Jensen polynomials of the Riemann Xi-

  • Finite free perpetuities math.PR · 2026-06-17 · unverdicted · none · ref 8

    Finite free perpetuities are defined as degree-n monic polynomials solving a truncated perpetuity equation; the paper proves existence, uniqueness, real nonnegative zeros for admissible (A,B), and weak convergence of root distributions to free perpetuity laws.