70 citations · 247 across the 23 of their papers we have counts for
15 papers · 1 filter
Thermodynamic formalism for transient dynamics on the real line
Maik Gröger, Johannes Jaerisch, Marc Kesseböhmer
We develop a new thermodynamic formalism to investigate the transient behaviour of maps on the real line which are skew-periodic -extensions of expanding interval maps.…
Mean convergence for intermediately trimmed Birkhoff sums of observables with regularly varying tails
Marc Kesseböhmer, Tanja Schindler
On a measure theoretical dynamical system with spectral gap property we consider non-integrable observables with regularly varying tails and fulfilling a mild mixing condition. We…
Dynamics and topological entropy of 1D Greenberg-Hastings cellular automata
Marc Kesseböhmer, Jens D. M. Rademacher, Dennis Ulbrich
In this paper we analyse the non-wandering set of 1D-Greenberg-Hastings cellular automata models for excitable media with excited and refractory state…
Intermediately trimmed strong laws for Birkhoff sums on subshifts of finite type
Marc Kesseböhmer, Tanja Schindler
We prove strong laws of large numbers under intermediate trimming for Birkhoff sums over subshifts of finite type. This gives another application of a previous trimming result only…
Diffraction of return time measures
Marc Kesseböhmer, Arne Mosbach, Tony Samuel +1
Letting denote an ergodic transformation of the unit interval and letting denote an observable, we construct the -weighted return time measure…
Strong laws of large number for intermediately trimmed Birkhoff sums of observables with infinite mean
Marc Kesseböhmer, Tanja Schindler
We consider dynamical systems on a finite measure space fulfilling a spectral gap property and Birkhoff sums of a non-negative, non-integrable observable. For such systems we gener…
A multifractal analysis for cuspidal windings on hyperbolic surfaces
Johannes Jaerisch, Marc Kesseböhmer, Sara Munday
In this paper we investigate the multifractal decomposition of the limit set of a finitely generated, free Fuchsian group with respect to the mean cusp winding number. We will comp…
Regularity of aperiodic minimal subshifts
Fabian Dreher, Marc Kesseböhmer, Arne Mosbach +2
At the turn of this century Durand, and Lagarias and Pleasants established that key features of minimal subshifts (and their higher-dimensional analogues) to be studied are linearl…
Escape rates for special flows and their higher order asymptotics
Fabian Dreher, Marc Kesseböhmer
In this paper escape rates and local escape rates for special flows are sudied. In a general context the first result is that the escape rate depends monotonically on the ceiling f…
A complex Ruelle-Perron-Frobenius theorem for infinite Markov shifts with applications to renewal theory
Mark Kesseböhmer, Sabrina Kombrink
We prove a complex Ruelle-Perron-Frobenius theorem for Markov shifts over an infinite alphabet, whence extending results by M. Pollicott from the finite to the infinite alphabet se…
A classification of aperiodic order via spectral metrics and Jarník sets
Maik Gröger, Marc Kesseböhmer, Arne Mosbach +2
Given an and a with unbounded continued fraction entries, we characterise new relations between Sturmian subshifts with slope with respect to (i) an -Höder regula…
On the convergence to equilibrium of unbounded observables under a family of intermittent interval maps
Johannes Kautzsch, Marc Kesseböhmer, Tony Samuel
We consider a family of Markov interval maps interpolating between the Tent map and the Farey map . Letti…
Induced topological pressure for countable state Markov shifts
Johannes Jaerisch, Marc Kesseböhmer, Sanaz Lamei
We introduce the notion of induced topological pressure for countable state Markov shifts with respect to a non-negative scaling function and an arbitrary subset of finite words. F…
Regularity of multifractal spectra of conformal iterated function systems
Johannes Jaerisch, Marc Kesseböhmer
We investigate multifractal regularity for infinite conformal iterated function systems (cIFS). That is we determine to what extent the multifractal spectrum depends continuously o…
Sets of non-differentiability for conjugacies between expanding interval maps
Thomas Jordan, Marc Kesseböhmer, Mark Pollicott +1
We study differentiability of topological conjugacies between expanding piecewise interval maps. If these conjugacies are not , then they have zero derivative almost…