This paper stands at the interface between combinatorial Hopf algebra theory and
renormalization theory. Its plan is as follows: Sec. 1.1 is the introduction, and contains an …

Let C be a nonempty class of finite groups this will always mean that C contains all the
isomorphic images of the groups in C. Define a pro—C group G as an inverse limit G=\lim i …

This self-contained text is an excellent introduction to Lie groups and their actions on
manifolds. The authors start with an elementary discussion of matrix groups, followed by …

We study topological properties of conjugacy classes in Polish groups, with emphasis on
automorphism groups of homogeneous countable structures. We first consider the existence …

In this survey, we report on the state of the art of some of the fundamental problems in the
Lie theory of Lie groups modeled on locally convex spaces, such as integrability of Lie …

This paper addresses the problem of reconstructing a low-rank signal matrix observed with
additive Gaussian noise. We first establish that, under mild assumptions, one can restrict …

Abstract Let $(X, d) $ be a separable ultra-metric space with compact balls. Given a
reference measure $\mu $ on $ X $ and a distance distribution function $\sigma $ on …

Locally compact groups play an important role in many areas of mathematics as well as in
physics. The class of locally compact groups admits a strong structure theory, which allows …

Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many
different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs …

We give a systematic technical exposition of the foundations of the theory of computably
compact metric spaces. We discover several new characterizations of computable …