{"product_id":"random-matrices-frobenius-eigenvalues-and-monodromy-9781470475079","title":"Random Matrices Frobenius Eigenvalues and","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThe main topic of this book is the deep relation between the spacings between zeros of zeta and $L$-functions and spacings between eigenvalues of random elements of large compact classical groups. The authors draw upon many disparate areas of mathematics from algebraic geometry, moduli spaces, mondromy, equidistribution, and the Weil conjectures to probability theory and the compact classical groups.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eStatements of the main results\u003c\/li\u003e\n\u003cli\u003eReformulation of the main results\u003c\/li\u003e\n\u003cli\u003eReduction steps in proving the main theorems\u003c\/li\u003e\n\u003cli\u003eTest functions\u003c\/li\u003e\n\u003cli\u003eHaar measure\u003c\/li\u003e\n\u003cli\u003eTail estimates\u003c\/li\u003e\n\u003cli\u003eLarge $N$ limits and Fredholm determinants\u003c\/li\u003e\n\u003cli\u003eSeveral variables\u003c\/li\u003e\n\u003cli\u003eEquidistribution\u003c\/li\u003e\n\u003cli\u003eMonodromy of families of curves\u003c\/li\u003e\n\u003cli\u003eMonodromy of some other families\u003c\/li\u003e\n\u003cli\u003eGUE discrepancies in various families\u003c\/li\u003e\n\u003cli\u003eDistribution of low-lying Frobenius eigenvalues in various families\u003c\/li\u003e\n\u003cli\u003eAppendix AD: Densities\u003c\/li\u003e\n\u003cli\u003eAppendix AG: Graphs\u003c\/li\u003e\n\u003cli\u003eReferences.\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":51040119193943,"sku":"9781470475079","price":79.2,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470475079.jpg?v=1750945796","url":"https:\/\/bookcurl.com\/products\/random-matrices-frobenius-eigenvalues-and-monodromy-9781470475079","provider":"Book Curl","version":"1.0","type":"link"}