We describe a method to compute the inverse Mellin transform of holonomic sequences, that is based on a method to compute the Mellin transform of holonomic functions. Both methods are implemented in the computer algebra package HarmonicSums.

Vehicle dynamics is typically handled by models whose parameters are found through system identification or manually computed from the vehicle’s characteristics. While these methods provide accurate theoretical dynamical models, they may not take into account differences between individual vehicles, lack adaptability to new environments and may not handle sophisticated models, requiring hand-cr...

This paper presents a Probabilistic Road Map (PRM) motion planning algorithm to be queried within Dynamic Robot Networks—a multi-robot coordination platform for robots operating with limited sensing and inter-robot communication. First, the Dynamic Robot Networks (DRN) coordination platform is introduced that facilitates centralized robot coordination across ad hoc networks, allowing safe navig...

An IFS (iterated function system) such that there exists a positive bounded function h : [0, 1] → R and a probability ν on [0, 1] satisfying P u (h) = ρh, P * u (ν) = ρν. There is no meaning to ask if the probabilities ν on [0, 1] arising in IFS are invariant for a dynamical system, but, we can ask if probabil-itiesˆν on [0, 1] × Σ are holonomic forˆσ. A probabilityˆν on [0, 1] × Σ is called ho...