4 papers
Hypercube subgroups of (outer) reduced Weyl groups of the Cuntz algebras
Francesco Brenti, Roberto Conti, Gleb Nenashev
We develop some tools, of an algebraic and combinatorial nature, which enable us to obtain a detailed description of certain quadratic subgroups of the (outer) reduced Weyl group o…
Tree asymptotic densities in number theory
Roberto Conti, Pierluigi Contucci, Vitalii Iudelevich
We study the asymptotic distribution of integers sharing the same rooted-tree structure that encodes their complete prime factorization tower. For each tree we derive an explicit d…
Spectral Theory for Non-full Commutative C*-categories
Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul +1
We extend the spectral theory of commutative C*-categories to the non full-case, introducing a suitable notion of spectral spaceoid provinding a duality between a category of "non-…
Bounds on tree distribution in number theory
Roberto Conti, Pierluigi Contucci, Vitalii Iudelevich
The occurrence and the distribution of patterns of trees associated to natural numbers are investigated. Bounds from above and below are proven for certain natural quantities.