Recurrent Points and Discrete Points for Elementary Amenable Groups

Structural Properties of Inner Amenable Discrete Groups

Dynamic Frailty and Change Point Models for Recurrent Events Data

Abstract. We present a Bayesian analysis for recurrent events data using a nonhomogeneous mixed Poisson point process with a dynamic subject-specific frailty function and a dynamic baseline intensity func- tion. The dynamic subject-specific frailty employs a dynamic piecewise constant function with a known pre-specified grid and the baseline in- tensity uses an unknown grid for the piecewise ...

Pole Assignment Of Linear Discrete-Time Periodic Systems In Specified Discs Through State Feedback

The problem of pole assignment, also known as an eigenvalue assignment, in linear discrete-time periodic systems in discs was solved by a novel method which employs elementary similarity operations. The former methods tried to assign the points inside the unit circle while preserving the stability of the discrete time periodic system. Nevertheless, now we can obtain the location of eigenvalues ...

Topological Entropy of Sets of Generic Points for Actions of Amenable Groups

Let G be a countable discrete amenable group which acts continuously on a compact metric space X and let μ be an ergodic G−invariant Borel probability measure on X. For a fixed tempered Følner sequence {Fn} inG with lim n→+∞ |Fn| logn =∞, we prove the following variational principle: h(Gμ, {Fn}) = hμ(X,G), where Gμ is the set of generic points for μ with respect to {Fn} and h(Gμ, {Fn}) is the B...

Boundary amenability of hyperbolic spaces

It is well-known that a Kleinian group is amenable if and only if it is elementary. We establish an analogous property for equivalence relations and foliations with Gromov hyperbolic leaves: they are amenable if and only if they are elementary in the sense that one can assign (in a measurable way) to any leaf a finite subset of its hyperbolic boundary (as in the group case, such subsets cannot ...