A random growth model with any real or theoretical degree distribution

Autor: Frédéric Giroire, Stéphane Pérennes, Thibaud Trolliet

Publikováno v: COMPLEX NETWORKS 2020-9th International Conference on Complex Networks and their Applications
COMPLEX NETWORKS 2020-9th International Conference on Complex Networks and their Applications, Dec 2020, Madrid / Virtual, Spain
Studies in Computational Intelligence ISBN: 9783030653507
COMPLEX NETWORKS (2)
Theoretical Computer Science
Theoretical Computer Science, 2023, 940 (Part A), pp.36-51. ⟨10.1016/j.tcs.2022.10.036⟩

The degree distributions of complex networks are usually considered to be power law. However, it is not the case for a large number of them. We thus propose a new model able to build random growing networks with (almost) any wanted degree distributio

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8cada5292789fd796dedd7d47a4c526
https://doi.org/10.1016/j.tcs.2022.10.036

Non-existence of bi-infinite geodesics in the exponential corner growth model

Autor: Márton Balázs, Ofer Busani, Timo Seppäläinen

Publikováno v: Forum of Mathematics, Sigma, Vol 8 (2020)

This paper gives a self-contained proof of the non-existence of nontrivial bi-infinite geodesics in directed planar last-passage percolation with exponential weights. The techniques used are couplings, coarse graining, and control of geodesics throu

Externí odkaz: https://doaj.org/article/b77a6d12e4db4405ae57eedc7c861e95

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Coalescence estimates for the corner growth model with exponential weights

Autor: Timo Seppäläinen, Xiao Shen

Publikováno v: Electron. J. Probab.

We establish estimates for the coalescence time of semi-infinite directed geodesics in the planar corner growth model with i.i.d. exponential weights. There are four estimates: upper and lower bounds on the probabilities of both fast and slow coalesc

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5244f98d77d7cac760b34735b68ec592
https://projecteuclid.org/euclid.ejp/1595404962

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