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Combinatorial Theory of the Free Product with Amalgamation and Operator-valued Free Probability Theory (Memoirs of the American Mathematical Society) - Softcover

 
9780821806937: Combinatorial Theory of the Free Product with Amalgamation and Operator-valued Free Probability Theory (Memoirs of the American Mathematical Society)

Inhaltsangabe

Free probability theory, introduced by Voiculescu, has developed very actively in the last few years and has had an increasing impact on quite different fields in mathematics and physics. Whereas the subject arose out of the field of von Neumann algebras, presented here is a quite different view of Voiculescu's amalgamated free product. This combinatorial description not only allows re-proving of most of Voiculescu's results in a concise and elegant way, but also opens the way for many new results. Unlike other approaches, this book emphasizes the combinatorial structure of the concept of 'freeness'. This gives an elegant and easily accessible description of freeness and leads to new results in unexpected directions. Specifically, a mathematical framework for otherwise quite ad hoc approximations in physics emerges.

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Free probability theory, introduced by Voiculescu, has developed very actively in the last few years and has had an increasing impact on quite different fields in mathematics and physics. Whereas the subject arose out of the field of von Neumann algebras, presented here is a quite different view of Voiculescu's amalgamated free product. This combinatorial description not only allows re-proving of most of Voiculescu's results in a concise and elegant way, but also opens the way for many new results. Unlike other approaches, this book emphasizes the combinatorial structure of the concept of "freeness". THis gives an elegant and easily accessible description of freeness and leads to new results in unexpected directions. Specifically, a mathematical framework for otherwise quite ad hoc approximations in physics emerges.

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  • VerlagAmerican Mathematical Society
  • Erscheinungsdatum1998
  • ISBN 10 0821806939
  • ISBN 13 9780821806937
  • EinbandTapa blanda
  • SpracheEnglisch
  • Anzahl der Seiten88
  • Kontakt zum HerstellerNicht verfügbar

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Speicher, Roland; Speicher, Ronald
ISBN 10: 0821806939 ISBN 13: 9780821806937
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Softcover. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-00829 9780821806937 Sprache: Englisch Gewicht in Gramm: 150. Bestandsnummer des Verkäufers 2484667

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