Group extensions of Gibbs-Markov maps

Group Extensions of Gibbs-markov Maps

Local Limit Theorems for Gibbs{markov Maps

We prove conditional local limit theorems for Gibbs-Markov processes whose marginals are in the domain of attraction of a stable law with order in (0;2). c 1996.

Induced Maps , Markov Extensions and Invariantmeasures in One - Dimensional Dynamics

Bockstein Closed 2-Group Extensions and Cohomology of Quadratic Maps

A central extension of the form E : 0 → V → G → W → 0, where V and W are elementary abelian 2-groups, is called Bockstein closed if the components qi ∈ H ∗(W,F2) of the extension class of E generate an ideal which is closed under the Bockstein operator. In this paper, we study the cohomology ring of G when E is a Bockstein closed 2-power exact extension. The mod-2 cohomology ring of G has a sim...

Gibbs-markov Models

In this paper we present a framework for building prob-abilistic automata parameterized by context-dependent probabilities. Gibbs distributions are used to model state transitions and output generation, and parameter estimation is carried out using an EM algorithm where the M-step uses a generalized iterative scaling procedure. We discuss relations with certain classes of stochastic feedforward...