{"product_id":"9783540549758","title":"Lecture Notes in Mathematics: A Genetic Introduction","description":"\u003ch1\u003eLecture Notes in Mathematics: A Genetic Introduction\u003c\/h1\u003e \u003ch2\u003eLang, Reinhard\u003c\/h2\u003e \u003cp\u003eThe interplay between the spectral theory of Schr|dinger\noperators and      probabilistic considerations forms the main\ntheme of these notes, written   for the non-specialist reader\nand intended to provide a brief and elementaryintroduction\nto this field. An attempt is made to show basic ideas          in\nstatu nascendi and to follow their evaluation from simple\nbeginnings through to more advanced results. The term\n\"genetic\" in the title refers to this proceedure. The author\nconcentrates on 2 topics which, in the history  of the\nsubject, have been of major conceptual importance - on the\none   hand the Laplacian is a random medium and the left end\nof its spectrum      (leading to large deviation problems for\nBrownian motion and the link to thenotion of entropy) and\non the other, Schr|dinger operators with general     ergodic\npotentials in one-dimensional space. Ideas and concepts             are\nexplained in the simplest, possible setting and by means of\na few   characteristic problems with heuristic arguments\npreceding rigorous proofs.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1991-12-11\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540549758\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/BFb0093929\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 126\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369787089036,"sku":"9783540549758","price":35.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540549758.jpg?v=1772802884","url":"https:\/\/lateknightbooks.com\/products\/9783540549758","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}