A Tutorial-Cum-Survey on Percolation Theory With Applications in Large-Scale Wireless Networks

H ElSawy, A Zhaikhan, MA Kishk… - … Surveys & Tutorials, 2023 - ieeexplore.ieee.org
Connectivity is an important key performance indicator and a focal point of research in large-
scale wireless networks. Due to path-loss attenuation of electromagnetic waves, direct …

Subcritical annulus crossing in spatial random graphs

E Jacob, B Jahnel, L Lüchtrath - arXiv preprint arXiv:2411.10333, 2024 - arxiv.org
We consider general continuum percolation models obeying sparseness, translation
invariance, and spatial decorrelation. In particular, this includes models constructed on …

Phase transitions for the Boolean model of continuum percolation for Cox point processes

B Jahnel, A Tóbiás, E Cali - Brazilian Journal of Probability and …, 2022 - projecteuclid.org
We consider the Boolean model with random radii based on Cox point processes. Under a
condition of stabilization for the random environment, we establish existence and non …

Aging in attraction-driven colloidal glasses

AM Puertas, M Fuchs, ME Cates - … Review E—Statistical, Nonlinear, and Soft …, 2007 - APS
Aging in an attraction-driven colloidal glass is studied by computer simulations. The system
is equilibrated without attraction and instantaneously “quenched,” at constant colloid volume …

New results for the random nearest neighbor tree

L Lichev, D Mitsche - Probability Theory and Related Fields, 2024 - Springer
In this paper, we study the online nearest neighbor random tree in dimension d∈ N (called d-
NN tree for short) defined as follows. We fix the torus T nd of dimension d and area n and …

Connectivity and interference in device-to-device networks in Poisson-Voronoi cities

HP Keeler, B Błaszczyszyn… - 2023 21st International …, 2023 - ieeexplore.ieee.org
To study the overall connectivity in device-to-device networks in cities, we incorporate a
signal-to-interference-plus-noise connectivity model into a Poisson-Voronoi tessellation …

Chase–escape in dynamic device-to-device networks

E Cali, A Hinsen, B Jahnel, JP Wary - Journal of Applied Probability, 2024 - cambridge.org
We feature results on global survival and extinction of an infection in a multi-layer network of
mobile agents. Expanding on a model first presented in Cali et al.(2022), we consider an …

Absence of percolation in graphs based on stationary point processes with degrees bounded by two

B Jahnel, A Tóbiás - Random Structures & Algorithms, 2023 - Wiley Online Library
We consider undirected graphs that arise as deterministic functions of stationary point
processes such that each point has degree bounded by two. For a large class of point …

[图书][B] Chase-escape in dynamic device-to-device networks

A Hinsen, B Jahnel, E Cali, JP Wary - 2022 - wias-berlin.de
The present paper features results on global survival and extinction of an infection in a
multilayer network of mobile agents. Expanding on a model first presented in [CHJW22], we …

Проблеми визначення ефективності та ранжування енергоощадних заходів на об'єктах бюджетної сфери

Проаналізовано енергетичні особливості об'єктів бюджетної сфери за результатами
енергоаудитів, розглянуто критерії оцінювання ефективності енергоощадних заходів …