Sharp phase transition for Cox percolation

Autor: Christian Hirsch, Benedikt Jahnel, Stephen Muirhead

Publikováno v: Hirsch, C, Jahnel, B & Muirhead, S 2022, ' Sharp phase transition for Cox percolation ', Electronic Communications in Probability, vol. 27, pp. 1-13 . https://doi.org/10.1214/22-ECP487
Electronic communications in probability, 27:48. UNIV WASHINGTON, DEPT MATHEMATICS

We prove the sharpness of the percolation phase transition for a class of Cox percolation models, i.e., models of continuum percolation in a random environment. The key requirements are that the environment has a finite range of dependence and satisf

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af124cbe3d7efdb79c1134b808ba111a

Continuum percolation for Cox point processes

Autor: Benedikt Jahnel, Christian Hirsch, Elie Cali

Publikováno v: Aarhus University
Hirsch, C, Jahnel, B & Cali, E 2019, ' Continuum percolation for Cox point processes ', Stochastic processes and their applications, bind 129, nr. 10, s. 3941-3966 .

We investigate continuum percolation for Cox point processes, that is, Poisson point processes driven by random intensity measures. First, we derive sufficient conditions for the existence of non-trivial sub- and super-critical percolation regimes ba

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::496d8f2a270c89466cc03d2b57371834
https://doi.org/10.1016/j.spa.2018.11.002

Percolation and connection times in multi-scale dynamic networks

Autor: Christian Hirsch, Benedikt Jahnel, Elie Cali

Publikováno v: Stochastic processes and their applications, 151, 490-518. ELSEVIER SCIENCE BV
Hirsch, C, Jahnel, B & Cali, E 2022, ' Percolation and connection times in multi-scale dynamic networks ', Stochastic Processes and Their Applications, vol. 151, pp. 490-518 . https://doi.org/10.1016/j.spa.2022.06.008

We study the effects of mobility on two crucial characteristics in multi-scale dynamic networks: percolation and connection times. Our analysis provides insights into the question, to what extent long-time averages are well-approximated by the expect

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1cb20fa6eb060a493001e8818e7f150a
http://arxiv.org/abs/2103.03171

Events of Bad Quality of Service: Large Deviations

Autor: Wolfgang König, Benedikt Jahnel

Publikováno v: Compact Textbooks in Mathematics ISBN: 9783030360894

For measuring the quality of a random telecommunication system, it is certainly important to quantify its expected performance, i.e., the quality of service in a normal situation. This is what we did in Chap. 6 in certain limit regimes. However, it a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3b042e4e2b43c312c0bad3a62993f46f
https://doi.org/10.1007/978-3-030-36090-0_7

Random Malware Propagation: Interacting Markov Processes

Autor: Benedikt Jahnel, Wolfgang König

Publikováno v: Compact Textbooks in Mathematics ISBN: 9783030360894

In contrast to the preceding chapters, where we considered the propagation of wanted messages over the telecommunication system, we now turn to the propagation of unwanted ones, e.g., of malware. We introduce, on the set Φ = (Xi)i ∈ I of all the d

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9c70ca43d4f720ce7e4a665f8dcb97a8
https://doi.org/10.1007/978-3-030-36090-0_8