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Even 2 × 2 Submatrices of a Random Zero-One Matrix

✍ Scribed by Anant P. Godbole; Joseph A. Johnson


Publisher
Springer Japan
Year
2004
Tongue
English
Weight
273 KB
Volume
20
Category
Article
ISSN
0911-0119

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On invariant 2×2 β -ensembles of random
✍ Pierpaolo Vivo; Satya N. Majumdar 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 981 KB

We introduce and solve exactly a family of invariant 2 × 2 random matrices, depending on one parameter η, and we show that rotational invariance and real Dyson index β are not incompatible properties. The probability density for the entries contains a weight function and a multiple trace-trace inter