scholarly journals Universality of the double scaling limit in random matrix models

2006 ◽  
Vol 59 (11) ◽  
pp. 1573-1603 ◽  
Author(s):  
Tom Claeys ◽  
Arno B. J. Kuijlaars
Keyword(s):  
Matrix Models ◽  
Random Matrix ◽  
Scaling Limit ◽  
Random Matrix Models ◽  
Double Scaling Limit

N = ½ SUPERSTRING IN ZERO DIMENSION AND THE SPONTANEOUS BREAKDOWN OF THE SUPERSYMMETRY

1992 ◽  
Vol 07 (32) ◽  
pp. 2979-2989 ◽  
Author(s):  
SHIN’ICHI NOJIRI
Keyword(s):  
Matrix Models ◽  
Random Matrix ◽  
Continuum Limit ◽  
Scaling Limit ◽  
Partition Functions ◽  
Spontaneous Breakdown ◽  
Random Matrix Models ◽  
Double Scaling Limit ◽  
The Continuum ◽  
String Theories

We propose random matrix models which have N=1/2 supersymmetry in zero dimension. The supersymmetry breaks down spontaneously. It is shown that the double scaling limit can be defined in these models and the breakdown of the supersymmetry remains in the continuum limit. The exact non-trivial partition functions of the string theories corresponding to these matrix models are also obtained.

scholarly journals Hidden noise structure and random matrix models of stock correlations

2012 ◽  
Vol 12 (4) ◽  
pp. 567-572 ◽  
Author(s):  
Ivailo I. Dimov ◽  
Petter N. Kolm ◽  
Lee Maclin ◽  
Dan Y. C. Shiber
Keyword(s):  
Matrix Models ◽  
Random Matrix ◽  
Noise Structure ◽  
Random Matrix Models

scholarly journals Random matrix models for phase diagrams

2011 ◽  
Vol 74 (10) ◽  
pp. 102001 ◽  
Author(s):  
B Vanderheyden ◽  
A D Jackson
Keyword(s):  
Matrix Models ◽  
Phase Diagrams ◽  
Random Matrix ◽  
Random Matrix Models

scholarly journals ON THE CONTINUUM LIMIT OF THE CONFORMAL MATRIX MODELS

1993 ◽  
Vol 08 (18) ◽  
pp. 3107-3137 ◽  
Author(s):  
A. MIRONOV ◽  
S. PAKULIAK
Keyword(s):  
Matrix Models ◽  
Continuum Limit ◽  
Scaling Limit ◽  
Universality Class ◽  
Partition Functions ◽  
Discrete Level ◽  
New Class ◽  
Double Scaling Limit ◽  
The Continuum

The double scaling limit of a new class of the multi-matrix models proposed in Ref. 1, which possess the W-symmetry at the discrete level, is investigated in detail. These models are demonstrated to fall into the same universality class as the standard multi-matrix models. In particular, the transformation of the W-algebra at the discrete level into the continuum one of the papers2 is proposed and the corresponding partition functions compared. All calculations are demonstrated in full in the first nontrivial case of W(3)-constraints.

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