9 citations · 21 across the 14 of their papers we have counts for
6 papers · 1 filter
Dold coefficients of quasi-unipotent homeomorphisms of orientable surfaces
Grzegorz Graff, Wacław Marzantowicz, Łukasz Patryk Michalak
The sequence of Dold coefficients of a self-map forms a dual sequence to the sequence of Lefschetz numbers of iterations of under the Mö…
Every finite set of natural numbers is realizable as algebraic periods of a Morse$\unicode{x2013}$Smale diffeomorphism
Grzegorz Graff, Wacław Marzantowicz, Łukasz Patryk Michalak +1
A given self-map of a compact manifold determines the sequence of the Lefschetz numbers of its iterations. We consider its dual sequence give…
On the interspike-intervals of periodically-driven integrate-and-fire models
Wacław Marzantowicz, Justyna Signerska
We analyze properties of the firing map, which iterations give information about consecutive spikes, for periodically driven linear integrate-and-fire models. By considering locall…
Displacement sequence of an orientation preserving circle homeomorphism
Wacław Marzantowicz, Justyna Signerska
We give a complete description of the behaviour of the sequence of displacements $η_n(z)=Φ^n(x) - Φ^{n-1}(x) \ \rmod \ 1$, $z=\exp(2π\rmi x)$, along a trajectory , wh…
Firing map of an almost periodic input function
W. Marzantowicz, J. Signerska
In mathematical biology and the theory of electric networks the firing map of an integrate-and-fire system is a notion of importance. In order to prove useful properties of this ma…
Estimates of the topological entropy from below for continuous self-maps on some compact manifolds
W. Marzantowicz, F. Przytycki
Extending our results in "Entropy conjecture for continuous maps of nilmanifolds", to appear in Israel Jour. of Math., we confirm that Entropy Conjecture holds for every continuous…