{"product_id":"random-walks-in-the-quarter-plane-algebraic-methods-boundary-value-problems-applications-to-queueing-systems-and-analytic-combinatorics-von-guy-fayolle-roudolf-iasnogorodski-vadim-malyshev","title":"Random Walks in the Quarter Plane","description":"\n                                \n                \u003cp\u003e\n                                        This monograph aims to promote original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries. Such processes arise in numerous applications and are of interest in several areas of mathematical research, such as \n                    \n                    \u003ci\u003eStochastic Networks\u003c\/i\u003e\n                                        , \n                    \n                    \u003ci\u003eAnalytic Combinatorics\u003c\/i\u003e\n                                        , and \n                    \n                    \u003ci\u003eQuantum Physics\u003c\/i\u003e\n                                        . This second edition consists of two parts.\n                \n                \u003c\/p\u003e\n                                \n                \u003cb\u003ePart I\u003c\/b\u003e\n                                 is a revised upgrade of the first edition (1999), with additional recent results on the group of a random walk. The theoretical approach given therein has been developed by the authors since the early 1970s. By using \n                \n                \u003ci\u003eComplex Function Theory\u003c\/i\u003e\n                                , \n                \n                \u003ci\u003eBoundary\u003c\/i\u003e\n                                 \n                \n                \u003ci\u003eValue Problems\u003c\/i\u003e\n                                , \n                \n                \u003ci\u003eRiemann Surfaces\u003c\/i\u003e\n                                , and \n                \n                \u003ci\u003eGalois Theory\u003c\/i\u003e\n                                , completely new methods are proposed for solving functional equations of two complex variables, which can also be applied to characterize the \n                \n                \u003ci\u003eTransient Behavior\u003c\/i\u003e\n                                 of the walks, as well as to find explicit solutions to the one-dimensional \n                \n                \u003ci\u003eQuantum Three-Body Problem\u003c\/i\u003e\n                                , or to tackle a new class of \n                \n                \u003ci\u003eIntegrable Systems\u003c\/i\u003e\n                                .\n                \n                \u003cp\u003e\u003c\/p\u003e\n                                \n                \u003cp\u003e\n                                        \n                    \u003cb\u003ePart II\u003c\/b\u003e\n                                         borrows special case-studies from queueing theory (in particular, the famous problem of \n                    \n                    \u003ci\u003eJoining the Shorter of Two Queues\u003c\/i\u003e\n                                        ) and enumerative combinatorics (\n                    \n                    \u003ci\u003eCounting\u003c\/i\u003e\n                                        , \n                    \n                    \u003ci\u003eAsymptotics\u003c\/i\u003e\n                                        ).\n                \n                \u003c\/p\u003e\n                                \n                \u003cp\u003eResearchers and graduate students should find this book very useful.\u003c\/p\u003e\n                                \n                \u003cp\u003e\n                                        \n                    \u003cbr\u003e\n                                    \n                \u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319509280\"\u003e\u003ch3\u003eAlgebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319845258\"\u003e\u003ch3\u003eAlgebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Hardcover - 9783319509280","offer_id":51600836550,"sku":"9783319509280","price":106.99,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9783319845258","offer_id":39421855957085,"sku":"9783319845258","price":106.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/ae9470f4-f3f5-4968-846a-c4cf69399051.jpg?v=1772170732","url":"https:\/\/shop.autorenwelt.de\/products\/random-walks-in-the-quarter-plane-algebraic-methods-boundary-value-problems-applications-to-queueing-systems-and-analytic-combinatorics-von-guy-fayolle-roudolf-iasnogorodski-vadim-malyshev","provider":"Autorenwelt Shop","version":"1.0","type":"link"}