A note on a Bäcklund transformation for the continuous Heisenberg model
Abstract A formula for the Backlund transformation for the continuous Heisenberg model is given and immersed singular knots in three-space are constructed.
A weightedL2 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.