Motivated by the near invariance of model spaces for the backward shift, we introduce a general notion of -invariant operators. The relations between this class of operators and the near invariance properties of their kernels are studied. Those lead to…
We study the asymptotic behavior of the N-dimensional colored Jones polynomial of the figure-eight knot evaluated at , where u is a small real number and p is a positive integer. We show that it is asymptotically equivalent to the product of the p-dime…
We introduce the combinatorial notion of a q-factorization graph intended as a tool to study and express results related to the classification of prime simple modules for quantum affine algebras. These are directed graphs equipped with three decoration…
We introduce “braided” versions of self-similar groups and Röver–Nekrashevych groups, and study their finiteness properties. This generalizes work of Aroca and Cumplido, and the first author and Wu, who considered the case when the self-similar groups …
In this paper, we study the stability of the ring solution of the N-body problem in the entire sphere by using the logarithmic potential proposed in Boatto et al. (2016, Proceedings of the Royal Society of London. Series A. Mathematical, Physical and …
We develop multisummability, in the positive real direction, for generalized power series with natural support, and we prove o-minimality of the expansion of the real field by all multisums of these series. This resulting structure expands both and th…