FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W4322580386> ?p ?o ?g. }

• W4322580386 abstract "Covariances and variances of linear statistics of a point process can be written as integrals over the truncated two-point correlation function. When the point process consists of the eigenvalues of a random matrix ensemble, there are often large N universal forms for this correlation after smoothing, which results in particularly simple limiting formulas for the fluctuation of the linear statistics. We review these limiting formulas, derived in the simplest cases as corollaries of explicit knowledge of the truncated two-point correlation. One of the large N limits is to scale the eigenvalues so that limiting support is compact, and the linear statistics vary on the scale of the support. This is a global scaling. The other, where a thermodynamic limit is first taken so that the spacing between eigenvalues is of order unity, and then a scale imposed on the test functions so they are slowly varying, is the bulk scaling. The latter was already identified as a probe of random matrix characteristics for quantum spectra in the pioneering work of Dyson and Mehta." @default.
• W4322580386 created "2023-02-28" @default.
• W4322580386 creator A5019351501 @default.
• W4322580386 date "2023-01-01" @default.
• W4322580386 modified "2023-09-25" @default.
• W4322580386 title "A review of exact results for fluctuation formulas in random matrix theory" @default.
• W4322580386 cites W1486354871 @default.
• W4322580386 cites W1491557693 @default.
• W4322580386 cites W1499525344 @default.
• W4322580386 cites W1502550331 @default.
• W4322580386 cites W1546767646 @default.
• W4322580386 cites W1589044249 @default.
• W4322580386 cites W1639175092 @default.
• W4322580386 cites W1777675546 @default.
• W4322580386 cites W1784259868 @default.
• W4322580386 cites W1848146717 @default.
• W4322580386 cites W1965748679 @default.
• W4322580386 cites W1967768695 @default.
• W4322580386 cites W1973159874 @default.
• W4322580386 cites W1975144611 @default.
• W4322580386 cites W1975344643 @default.
• W4322580386 cites W1977634444 @default.
• W4322580386 cites W1978864992 @default.
• W4322580386 cites W1982807025 @default.
• W4322580386 cites W1986388050 @default.
• W4322580386 cites W1987542003 @default.
• W4322580386 cites W1988076732 @default.
• W4322580386 cites W1988288051 @default.
• W4322580386 cites W1993311005 @default.
• W4322580386 cites W1994231597 @default.
• W4322580386 cites W1997443919 @default.
• W4322580386 cites W1999320979 @default.
• W4322580386 cites W2001629886 @default.
• W4322580386 cites W2002228387 @default.
• W4322580386 cites W2005031553 @default.
• W4322580386 cites W2005522417 @default.
• W4322580386 cites W2008826278 @default.
• W4322580386 cites W2010282278 @default.
• W4322580386 cites W2013992162 @default.
• W4322580386 cites W2019322205 @default.
• W4322580386 cites W2019695249 @default.
• W4322580386 cites W2021481737 @default.
• W4322580386 cites W2022812813 @default.
• W4322580386 cites W2038547964 @default.
• W4322580386 cites W2039123931 @default.
• W4322580386 cites W2041130366 @default.
• W4322580386 cites W2041357089 @default.
• W4322580386 cites W2042456974 @default.
• W4322580386 cites W2044069631 @default.
• W4322580386 cites W2045450702 @default.
• W4322580386 cites W2049587182 @default.
• W4322580386 cites W2053029150 @default.
• W4322580386 cites W2054309928 @default.
• W4322580386 cites W2056861814 @default.
• W4322580386 cites W2057980696 @default.
• W4322580386 cites W2058966573 @default.
• W4322580386 cites W2062116176 @default.
• W4322580386 cites W2064685789 @default.
• W4322580386 cites W2065781228 @default.
• W4322580386 cites W2067175118 @default.
• W4322580386 cites W2067182789 @default.
• W4322580386 cites W2070059665 @default.
• W4322580386 cites W2075947579 @default.
• W4322580386 cites W2076224922 @default.
• W4322580386 cites W2076641463 @default.
• W4322580386 cites W2078757002 @default.
• W4322580386 cites W2088318197 @default.
• W4322580386 cites W2089388301 @default.
• W4322580386 cites W2089510153 @default.
• W4322580386 cites W2094865317 @default.
• W4322580386 cites W2095207998 @default.
• W4322580386 cites W2115674120 @default.
• W4322580386 cites W2118128488 @default.
• W4322580386 cites W2130406775 @default.
• W4322580386 cites W2149106432 @default.
• W4322580386 cites W2161048352 @default.
• W4322580386 cites W2162963484 @default.
• W4322580386 cites W2168725312 @default.
• W4322580386 cites W2275999301 @default.
• W4322580386 cites W2314213488 @default.
• W4322580386 cites W2340663514 @default.
• W4322580386 cites W2416663316 @default.
• W4322580386 cites W2480353178 @default.
• W4322580386 cites W2483920166 @default.
• W4322580386 cites W2524500890 @default.
• W4322580386 cites W2557672836 @default.
• W4322580386 cites W2578287157 @default.
• W4322580386 cites W2904889436 @default.
• W4322580386 cites W2912435666 @default.
• W4322580386 cites W2935689418 @default.
• W4322580386 cites W2944042833 @default.
• W4322580386 cites W2952532188 @default.
• W4322580386 cites W2962681875 @default.
• W4322580386 cites W2962731184 @default.
• W4322580386 cites W2962862674 @default.
• W4322580386 cites W2963071021 @default.
• W4322580386 cites W2963135576 @default.
• W4322580386 cites W2963198443 @default.
• W4322580386 cites W2963240195 @default.
• W4322580386 cites W2963383941 @default.

• next