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- W2766451844 abstract "In this chapter, the properties of critical BPREs are investigated under the quenched approach. The quenched approach gives more possibilities in the analogous situation. Contrary to the annealed approach, the transformation of measures is performed from P to P+, and the product of measures P × P and transform it to P- × P+ is also used. The chapter then discusses a lemma to study the behavior of the survival probability and to prove Yaglom-type conditional limit theorems under the quenched approach. One of the main tools in proving Yaglom-type limit theorems under the quenched approach is the machinery of Laplace transforms. The chapter further briefly reviews some aspects of Laplace transforms. Finally, the chapter details the distribution of the survival probability of a critical BPRE under the quenched approach, and extends the duality principle from random walks." @default.
- W2766451844 created "2017-11-10" @default.
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- W2766451844 date "2017-10-30" @default.
- W2766451844 modified "2023-10-12" @default.
- W2766451844 title "Critical BPREs: the Quenched Approach" @default.
- W2766451844 doi "https://doi.org/10.1002/9781119452898.ch6" @default.
- W2766451844 hasPublicationYear "2017" @default.
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