261 citations · 493 across the 31 of their papers we have counts for
33 papers
Average shadowing revisited
Michael Blank
We propose a novel unifying approach to study the shadowing property for a broad class of dynamical systems (in particular, discontinuous and non-invertible) under a variety of per…
Average shadowing and gluing property
Michael Blank
The purpose of this work is threefold: (i) extend shadowing theory for discontinuous and non-invertible systems, (ii) consider more general classes of perturbations (for example, s…
Invariant measures of torus piecewise isometries
Michael Blank
We study measure-theoretical aspects of torus piecewise isometries. Not much is known about this type of dynamical systems, except for the special case of one-dimensional interval…
Recurrence for measurable semigroup actions
Michael Blank
We study qualitative properties of the set of recurrent points of finitely generated free semigroups of measurable maps. In the case of a single generator the classical Poincare re…
Topological and metric recurrence for general Markov chains
Michael Blank
Using ideas borrowed from topological dynamics and ergodic theory we introduce topological and metric versions of the recurrence property for general Markov chains. The main questi…
Influence of capillary viscous flow on melting dynamics
Michael Blank, Prapanch Nair, Thorsten Pöschel
The rate of melting of a solid and the rate of deformation of the resulting melt due to capillary forces are comparable in additive manufacturing applications. This dynamic structu…