{"product_id":"9783319838052","title":"Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge \/ A Series of Modern Surveys in Mathematics","description":"\u003ch1\u003eErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge \/ A Series of Modern Surveys in Mathematics\u003c\/h1\u003e \u003ch2\u003eBenoist, Yves; Quint, Jean-François\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cdiv\u003eThe classical theory of random walks describes the asymptotic behavior of sums of independent identically distributed random real variables. This book explains the generalization of this theory to products of independent identically distributed random matrices with real coefficients.\u003c\/div\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\u003cdiv\u003eUnder the assumption that the action of the matrices is semisimple – or, equivalently, that the Zariski closure of the group generated by these matrices is reductive - and under suitable moment assumptions, it is shown that the norm of the products of such random matrices satisfies a number of classical probabilistic laws.\u003c\/div\u003e\u003cdiv\u003e\u003cbr\u003e\u003c\/div\u003e\u003cdiv\u003eThis book includes necessary background on the theory of reductive algebraic groups, probability theory and operator theory, thereby providing a modern introduction to the topic.\u003c\/div\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-06-29\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319838052\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-47721-3\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 323\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45378901311628,"sku":"9783319838052","price":143.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319838052.jpg?v=1775709790","url":"https:\/\/lateknightbooks.com\/products\/9783319838052","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}