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Creators/Authors contains: "Sahasrabudhe, Julian"

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  1. ; ; ; (, Journal of the American Mathematical Society)
    Free, publicly-accessible full text available January 1, 2026
  2. ; (, Journal of the European Mathematical Society)
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  3. ; ; ; (, Forum of Mathematics, Pi)
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  4. ; ; ; ; (, Journal of the European Mathematical Society)
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  5. ; ; ; (, Proceedings of the American Mathematical Society)
    Let M n M_n be drawn uniformly from all ± 1 \pm 1 symmetric n × n n \times n matrices. We show that the probability that M n M_n is singular is at most exp ⁡ ( − c ( n log ⁡ n ) 1 / 2 ) \exp (-c(n\log n)^{1/2}) , which represents a natural barrier in recent approaches to this problem. In addition to improving on the best-known previous bound of Campos, Mattos, Morris and Morrison of exp ⁡ ( − c n 1 / 2 ) \exp (-c n^{1/2}) on the singularity probability, our method is different and considerably simpler: we prove a “rough” inverse Littlewood-Offord theorem by a simple combinatorial iteration. 
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  6. ; (, Discrete analysis)
    Accepted Manuscript Full Text Available
  7. ; ; ; ; (, Inventiones mathematicae)
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  8. ; ; ; ; (, Algebra & Number Theory)
    null (Ed.)
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  9. ; ; ; ; (, Annals of Mathematics)
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