Titlebook: Random Walks in the Quarter Plane; Algebraic Methods, B Guy Fayolle,Roudolf Iasnogorodski,Vadim Malyshev Book 2017Latest edition Springer I

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peritonitis

https://doi.org/10.1007/978-3-319-50930-360G50, 39B32, 32A26, 30D05, 46N50; algebraic methods; analytic combinatorics; boundary value problems; f

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Joining the Shorter of Two Queues: Reduction to a Generalized BVPbelow is a long-standing problem borrowed from queueing theory. It highlights the huge additional complexity which arises when space-homogeneity is only partial, even for 2-dimensional systems. Indeed, the question often becomes tantamount to solving a . of the form (.).

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Analytic Continuation of the Unknown Functions in the Genus 1 Casepose other methods of analytic continuation,?which in a sense are more effective, since they allow in fact a continuation to the whole complex plane. We consider only parameter values ensuring the Riemann surface . to be of genus 1, according to the study made in Sect.?..

協(xié)奏曲

Solution in the Case of an Arbitrary Groupgroup. Hereafter, we shall obtain the complete solution when the order of the group of the random walk is arbitrary, i.e. possibly infinite. The main idea consists in the reduction to a factorization problem on a curve in the complex plane. Generally one first comes up first with integral equations

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Joining the Shorter of Two Queues: Reduction to a Generalized BVPbelow is a long-standing problem borrowed from queueing theory. It highlights the huge additional complexity which arises when space-homogeneity is only partial, even for 2-dimensional systems. Indeed, the question often becomes tantamount to solving a . of the form (.).

草本植物

Solution in the Case of an Arbitrary Groupidea consists in the reduction to a factorization problem on a curve in the complex plane. Generally one first comes up first with integral equations and, in a second step, with explicit integral forms by means of Weierstrass functions.