17 citations · 17 across the 2 of their papers we have counts for
2 papers
math.DS2008
Non-existence of absolutely continuous invariant probabilities for exponential maps
Neil Dobbs, Bartlomiej Skorulski
We show that for entire maps of the form such that the orbit of zero is bounded and such that Lebesgue almost every point is transitive, no absolutely continuo…
math.DS2007★ 17 cited
Renormalisation-induced phase transitions for unimodal maps
Neil Dobbs
The thermodynamical formalism is studied for renormalisable maps of the interval and the natural potential . Multiple and indeed infinitely many phase transitions at p…