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Journal of Difference Equations and Applications Volume 18, 2012 - Issue 8: Special Issue on Stochastic Difference Equations
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Original Articles

Fixed points of inhomogeneous smoothing transforms

Gerold Alsmeyer Institut für Mathematische Statistik, Münster, GermanyCorrespondence[email protected]
&
Matthias Meiners Matematiska Institutionen, Uppsala Universitet, Uppsala, Sweden
Pages 1287-1304 | Received 10 Aug 2010, Accepted 12 May 2011, Published online: 06 Sep 2011

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Dariusz Buraczewski & Konrad Kolesko. (2014) Linear stochastic equations in the critical case. Journal of Difference Equations and Applications 20:2, pages 188-209.
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Articles from other publishers (23)

Nicolas Fraiman, Tzu-Chi Lin & Mariana Olvera-Cravioto. (2023) Stochastic recursions on directed random graphs. Stochastic Processes and their Applications 166, pages 104055.
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Dariusz Buraczewski, Piotr Dyszewski & Alexander Marynych. (2023) Solutions of kinetic-type equations with perturbed collisions. Stochastic Processes and their Applications 159, pages 199-224.
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Mariana Olvera–Cravioto. (2021) PageRank’s behavior under degree correlations. The Annals of Applied Probability 31:3.
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Mariana Olvera-Cravioto & Octavio Ruiz-Lacedelli. (2021) Stationary Waiting Time in Parallel Queues with Synchronization. Mathematics of Operations Research 46:1, pages 1-27.
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Mariana Olvera-Cravioto. (2019) Convergence of the population dynamics algorithm in the Wasserstein metric. Electronic Journal of Probability 24:none.
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Mariusz Maślanka. (2018) Tail asymptotics of maximums on trees in the critical case. Electronic Communications in Probability 23:none.
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Ningyuan Chen, Nelly Litvak & Mariana Olvera‐Cravioto. (2016) Generalized PageRank on directed configuration networks. Random Structures & Algorithms 51:2, pages 237-274.
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Matthias Meiners & Sebastian Mentemeier. (2016) Solutions to complex smoothing equations. Probability Theory and Related Fields 168:1-2, pages 199-268.
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Ningyuan Chen & Mariana Olvera-Cravioto. (2016) Coupling on weighted branching trees. Advances in Applied Probability 48:2, pages 499-524.
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Sebastian Mentemeier. (2015) The fixed points of the multivariate smoothing transform. Probability Theory and Related Fields 164:1-2, pages 401-458.
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Alexander IksanovAlexander Iksanov. 2016. Renewal Theory for Perturbed Random Walks and Similar Processes. Renewal Theory for Perturbed Random Walks and Similar Processes 43 86 .
Ningyuan Chen & Mariana Olvera-Cravioto. (2015) Efficient simulation for branching linear recursions. Efficient simulation for branching linear recursions.
D. Buraczewski, E. Damek & J. Zienkiewicz. (2015) Precise tail asymptotics of fixed points of the smoothing transform with general weights. Bernoulli 21:1.
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Konrad Kolesko & Sebastian Mentemeier. (2015) Fixed points of the multivariate smoothing transform: the critical case. Electronic Journal of Probability 20:none.
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Predrag R. Jelenković & Mariana Olvera-Cravioto. (2015) Maximums on trees. Stochastic Processes and their Applications 125:1, pages 217-232.
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Najmeddine Attia & Julien Barral. (2014) Hausdorff and Packing Spectra, Large Deviations, and Free Energy for Branching Random Walks in $${\mathbb{R}^d}$$ R d. Communications in Mathematical Physics 331:1, pages 139-187.
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Julien Barral. 2014. Geometry and Analysis of Fractals. Geometry and Analysis of Fractals 1 45 .
Dariusz Buraczewski, Ewa Damek, Sebastian Mentemeier & Mariusz Mirek. (2013) Heavy tailed solutions of multivariate smoothing transforms. Stochastic Processes and their Applications 123:6, pages 1947-1986.
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Gerold Alsmeyer & Matthias Meiners. (2011) Fixed points of the smoothing transform: two-sided solutions. Probability Theory and Related Fields 155:1-2, pages 165-199.
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Gerold Alsmeyer. 2013. Random Matrices and Iterated Random Functions. Random Matrices and Iterated Random Functions 189 228 .
Sara Brofferio, Dariusz Buraczewski & Ewa Damek. 2013. Random Matrices and Iterated Random Functions. Random Matrices and Iterated Random Functions 137 157 .
Gerold Alsmeyer, Ewa Damek & Sebastian Mentemeier. 2013. Random Matrices and Iterated Random Functions. Random Matrices and Iterated Random Functions 229 251 .
Predrag R. Jelenković & Mariana Olvera-Cravioto. (2016) Implicit Renewal Theory and Power Tails on Trees. Advances in Applied Probability 44:2, pages 528-561.
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