{"product_id":"9783540859635","title":"Lecture Notes in Mathematics: Sublimiting Growth Rates of Linear Random Differential Equations","description":"\u003ch1\u003eLecture Notes in Mathematics: Sublimiting Growth Rates of Linear Random Differential Equations\u003c\/h1\u003e \u003ch2\u003eSiegert, Wolfgang\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eEstablishing a new concept of local Lyapunov exponents the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations.\u003c\/p\u003e\n\u003cp\u003eSpecifically, a linear differential system is considered which is controlled by a stochastic process that during a suitable noise-intensity-dependent time is trapped near one of its so-called metastable states. The local Lyapunov exponent is then introduced as the exponential growth rate of the linear system on this time scale. Unlike classical Lyapunov exponents, which involve a limit as time increases to infinity in a fixed system, here the system itself changes as the noise intensity converges, too.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2008-11-13\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540859635\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-540-85964-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 254\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369799770252,"sku":"9783540859635","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540859635.jpg?v=1775675155","url":"https:\/\/lateknightbooks.com\/products\/9783540859635","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}