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Название: Even the First Iterate of a Markov Operator Is Contracting in an L_2 Norm
Автор: Ershov S.
A weighted L_2 norm is introduced in which Markov operators, e.g., associated
with noisy maps, are contracting provided the kernel (i.e., the transitional
distribution) is smooth enough. This results in strong relaxational properties
of noisy maps. Similar to this norm, integral functionals appear useful when
studying spatiotemporal chaos and random fields