Large N Matrix Models and Noncommutative Fisher Information

Details Large N Matrix Models and Noncommutative Fisher Information Large N Matrix Models and Noncommutative Fisher Information

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aipc..646..173a&link_type=abstract

THEORETICAL PHYSICS: MRST 2002: A Tribute to George Leibbrandt. AIP Conference Proceedings, Volume 646, pp. 173-178 (2002).

Mathematics

Probability

Algebraic Methods, Probability Theory

Scientific paper

We interpret the action for 0+1-dimensional large N matrix models in the context of noncommutative probability theory. The actions of both 0-dimensional and 0+1-dimensional matrix models contain universal terms, free entropy and free Fisher information respectively. Their minimization properties are essential for the solution of matrix models. We also give a geometric interpretation of the action principle of 0+1-dimensional matrix models.

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