  We prove that the group of compactly supported symplectomorphisms of the
standard symplectic ball admits a continuum of linearly independent real-valued
homogeneous quasimorphisms. In addition these quasimorphisms are Lipschitz in
the Hofer metric and have the following property: the value of each such
quasimorphism on any symplectomorphism supported in any "sufficiently small"
open subset of the ball equals the Calabi invariant of the symplectomorphism.
By a "sufficiently small" open subset we mean that it can be displaced from
itself by a symplectomorphism of the ball. As a byproduct we show that the
(Lagrangian) Clifford torus in the complex projective space cannot be displaced
from itself by a Hamiltonian isotopy.
