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We present a family of methods, which can describe behaviour of quantum ensembles and demonstrate the creation of nontrivial (meta) stable states (patterns), localized, chaotic, entangled or decoheren...
We present a family of methods, which can describe behaviour of quantum ensembles and demonstrate the creation of nontrivial (meta) stable states (patterns), localized, chaotic, entangled or decoheren...
Splitting Line Patterns in Free Groups
free group group splitting line pattern Whitehead graph
2010/12/6
There is a canonical JSJ-decomposition of a free group relative to a line pattern. This provides a characterization of virtually geometric multiwords. They are the multiwords that are built from geome...
Partitions and Partial Matchings Avoiding Neighbor Patterns
set partition partial matching neighbor alignment left nesting right nesting
2010/12/10
We obtain the generating functions for partial matchings avoiding neighbor alignments and for partial matchings avoiding neighbor alignments and left nestings. We show that there is a bijection betwee...