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19942026
Showing 2023 · math.PRShow all

7 papers · 2 filters

math.PR2023

Batch sojourn time in polling systems on a circle

Tim Engels, Ivo Adan, Onno Boxma +1

In this paper, we analyze a polling system on a circle. Random batches of customers arrive at a circle, where each customer, independently, obtains a uniform location. A single ser…

math.PR2023

Sharp concentration for sums of matrices with Markovian dependence through universality

Alexander Van Werde, Jaron Sanders

We prove that a sum of random matrices generated by a -mixing Markov chain has similar spectral properties to a Gaussian matrix with the same mean and covariance structure. This…

math.PR2023

Non-asymptotic convergence bounds for Sinkhorn iterates and their gradients: a coupling approach

Giacomo Greco, Maxence Noble, Giovanni Conforti +1

Computational optimal transport (OT) has recently emerged as a powerful framework with applications in various fields. In this paper we focus on a relaxation of the original OT pro…

math.PR2023

Gibbs Properties of the Bernoulli field on inhomogeneous trees under the removal of isolated sites

Florian Henning, Christof Külske, Niklas Schubert

We consider the i.i.d. Bernoulli field with occupation density on a possibly non-regular countably infinite tree with bounded degrees. For large , we show th…

math.PR2023★ 1 cited

Connectivity of random graphs after centrality-based vertex removal

Manish Pandey, Remco van der Hofstad

Centrality measures aim to indicate who is important in a network. Various notions of `being important' give rise to different centrality measures. In this paper, we study how impo…

math.PR2023★ 4 cited

Cluster-size decay in supercritical long-range percolation

Joost Jorritsma, Júlia Komjáthy, Dieter Mitsche

We study the cluster-size distribution of supercritical long-range percolation on , where two vertices are connected by an edge with probability…

math.PR2023★ 4 cited

Infinite-volume states with irreducible localization sets for gradient models on trees

Alberto Abbondandolo, Florian Henning, Christof Kuelske +1

We consider general classes of gradient models on regular trees with values in a countable Abelian group such as or , in regimes of strong coupling (…