ZEONS, LATTICES OF PARTITIONS, AND FREE PROBABILITYReportar como inadecuado




ZEONS, LATTICES OF PARTITIONS, AND FREE PROBABILITY - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications 2 IECN - Institut Élie Cartan de Nancy 3 Department of Mathematics and Statistics - Southern Illinois University

Abstract : Central to the theory of free probability is the notion of summing multiplicative functionals on the lattice of non-crossing partitions. In this paper, a graph-theoretic perspective of partitions is investigated in which independent sets in graphs correspond to non-crossing partitions. By associating particular graphs with elements of -zeon- algebras commutative subalgebras of fermion algebras, multiplicative functions can be summed over segments of lattices of partitions by employing methods of -zeon-Berezin- operator calculus. In particular, properties of the algebra are used to -sieve out- the appropriate segments and sub-lattices. The work concludes with an application to joint moments of quantum random variables.

Keywords : Free probability zeons non-crossing partitions





Autor: René Schott - Stacey Staples -

Fuente: https://hal.archives-ouvertes.fr/



DESCARGAR PDF




Documentos relacionados