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@article{faucris.210079502,
abstract = {Given a volume preserving dynamical system with non-compact phase space,
one is sometimes interested in special subsets of its wandering set.
One example from celestial mechanics is the set of initial values
leading to collision. Another one is the set of initial values of
semi-orbits, whose asymptotic velocity does not exist as a limit. We
introduce techniques that can be helpful in showing that these sets are
of measure zero. We do this by defining a sequence of hypersurfaces,
that are eventually hit by each of those semi-orbits and whose total
surface area decreases to zer},
author = {Fleischer, Stefan and Knauf, Andreas},
doi = {10.1007/s00205-018-1309-2},
faupublication = {yes},
journal = {Archive for Rational Mechanics and Analysis},
pages = {1781â€“1800},
peerreviewed = {Yes},
title = {{Improbability} of {Wandering} {Orbits} {Passing} {Through} a {Sequence} of {PoincarĂ©} {Surfaces} of {Decreasing} {Size}},
volume = {231},
year = {2018}
}