Arithmetic degrees and dynamical degrees of endomorphisms on surfaces

Dynamical Systems with Two Degrees of Freedom.

A Remark on Dynamical Degrees of Automorphisms of Hyperkähler Manifolds

We describe all the dynamical degrees of automorphisms of hyperkähler manifolds in terms of the first dynamical degree. We also present two explicit examples of different geometric flavours.

Computing Dynamical Degrees of Rational Maps on Moduli Space

The dynamical degrees of a rational map f : X 99K X are fundamental invariants describing the rate of growth of the action of iterates of f on the cohomology of X. When f has nonempty indeterminacy set, these quantities can be very difficult to determine. We study rational maps f : XN 99K XN , where XN is isomorphic to the Deligne-Mumford compactificationM0,N+3. We exploit the stratified struct...

Degrees of Efficiency and Degrees of Minimality

In this work we characterize different types of solutions of a vector optimization problem by means of a scalarization procedure. Usually different scalarizing functions are used in order to obtain the various solutions of the vector problem. Here we consider different kinds of solutions of the same scalarized problem. Our results allow us to establish a parallelism between the solutions of the...

Gait adaptation on surfaces with different degrees of slipperiness.

Gait adaptation to employ different ways to avoid a potential slip is needed to continue walking safely on a new surface, especially when transitioning to a slippery surface. In this experiment, participants walked back and forth five times (trials) on surfaces with different degrees of slipperiness. The results show that trial 1 was significantly different from other trials for most of the dep...