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SUMMARY:Paolo Leonetti (Universit`a degli Studi dell’Insubria and Univer
 sit`a Bocconi\, Italy)
DTSTART:20260717T163000Z
DTEND:20260717T165500Z
DTSTAMP:20260710T111746Z
UID:CANT2026/66
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2026/66/
 ">Independent families and asymptotic density</a>\nby Paolo Leonetti (Univ
 ersit`a degli Studi dell’Insubria and Universit`a Bocconi\, Italy) as pa
 rt of Combinatorial and additive number theory seminar (CANT 2026)\n\nLect
 ure held in Science Center in the CUNY Graduate Center (4th floor).\n\nAbs
 tract\nLet $\\mathcal{D}$ be the family of sets $S\\subseteq \\mathbb{N}$ 
 for which the asymptotic density $$\nd(S):=\\lim_{n\\to \\infty}\\frac{|S\
 \cap [1\,n]|}{n}\n$$\nexists. Treating $d$ as a finitely additive probabil
 ity measure on $\\mathcal{D}$\, we study structural properties of families
  of sets $\\mathcal{A}\\subseteq \\mathcal{P}(\\mathbb{N})$ which are inde
 pendent (in its classical statistical meaning). We conclude with several o
 pen questions. Reference: \nJ. Keith and P. Leonetti\, On maximal families
  of independent sets with respect to asymptotic density \, https://arxiv.o
 rg/abs/2603.28922.\n
LOCATION:https://researchseminars.org/talk/CANT2026/66/
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