34 citations · 107 across the 25 of their papers we have counts for
4 papers · 1 filter
Group Extended Markov Systems, Amenability, and the Perron-Frobenius Operator
Johannes Jaerisch
We characterise amenability of a countable group in terms of the spectral radius of the Perron-Frobenius operator associated to a group extension of a countable Markov shift and a…
Recurrence and pressure for group extensions
Johannes Jaerisch
We investigate the thermodynamic formalism for recurrent potentials on group extensions of countable Markov shifts. Our main result characterises recurrent potentials depending onl…
Conformal Fractals for Normal Subgroups of Free Groups
Johannes Jaerisch
We investigate subsets of a multifractal decomposition of the limit set of a conformal graph directed Markov system, which is constructed from the Cayley graph of a free group with…
A Lower Bound for the Exponent of Convergence of Normal Subgroups of Kleinian Groups
Johannes Jaerisch
We give a short new proof that for each non-elementary Kleinian group , the exponent of convergence of an arbitrary non-trivial normal subgroup is bounded below by half of the e…