Star graphs induce tetrad correlations: for Gaussian as well as for binary variables

Star graphs induce tetrad correlations: for Gaussian as well as for binary variables

Tetrad correlations were obtained historically for Gaussian distributions when tasks are designed to measure an ability or attitude so that a single unobserved variable may generate the observed, linearly increasing dependences among the tasks. We connect such generating processes to a particular type of directed graph, the star graph, and to the notion of traceable regressions. Tetrad correlat...

Three-point correlations for quantum star graphs

Abstract. We compute the three point correlation function for the eigenvalues of the Laplacian on quantum star graphs in the limit where the number of edges tends to infinity. This extends a work by Berkolaiko and Keating, where they get the 2point correlation function and show that it follows neither Poisson, nor random matrix statistics. It makes use of the trace formula and combinatorial ana...

Two-point Spectral Correlations for Star Graphs

spectral statistics, graph theory, combinatorics The eigenvalues of the Schrodinger operator on a graph G are related via an exact trace formula to periodic orbits on G. This connection is used to calculate two-point spectral statistics for a particular family of graphs, called star graphs, in the limit as the number of edges tends to infinity. Combinatorial techniques are used to evaluate both...

liver transplantation for quality as well as quantity of life

nano-rods zno as an efficient catalyst for the synthesis of chromene phosphonates, direct amidation and formylation of amines

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