ISRAEL JOURNAL OF MATHEMATICS, v.204, no.1, pp.417 - 430
HEBREW UNIV MAGNES PRESS
We study the growth rate of a sequence which measures the uniform norm of
the differential under the iterates of maps. On symplectically hyperbolic manifolds, we show
that this sequence has at least linear growth for every non-identical symplectomorphisms
which are symplectically isotopic to the identity.