Using the method of Tracy and Widom we rederive the correlation functions for β = 1 Hermitian and real asymmetric ensembles of N ×N matrices with N odd.

Anil Gupta and Nuel Belnap's The Revision Theory of Truth presents revision theoretic systems of circular definitions. Part I of the present paper shows that the revision theories S and S* are not axiomatisable. Part II refines this result. Among other things, Part II shows that there is a strong relationship between revision theories and the theory of inductive definitions. This relationship i...

Consider the random matrix obtained from the adjacency matrix of a random d-regular graph by multiplying every entry by a random sign. The largest eigenvalue converges, after proper scaling, to the Tracy–Widom distribution.

The purpose of this work is to test different computational algorithms for unsaturated flow for accuracy and robustness by comparing computed results in a finite element program with analytical solutions. Because real-world problems are complex, testing codes for accuracy is often difficult. This is particularly true for flow in the vadose zone where Richards' equation is highly nonlinear. Rece...

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