Large deviations for the volume of -nearest neighbor balls

C Hirsch, T Kang, T Owada - arXiv preprint arXiv:2210.12423, 2022 - arxiv.org
This paper develops the large deviations theory for the point process associated with the
Euclidean volume of $ k $-nearest neighbor balls centered around the points of a …

[图书][B] Message routeing and percolation in interference limited multihop networks

AJ Tóbiás - 2019 - search.proquest.com
This thesis consists of two main parts. In the first part, we investigate a probabilistic model for
routeing of messages in relay-augmented multihop ad-hoc networks, where each transmitter …

Routeing properties in a Gibbsian model for highly dense multihop networks

W König, A Tóbiás - IEEE Transactions on Information Theory, 2019 - ieeexplore.ieee.org
We investigate a probabilistic model for routeing in a multihop ad hoc communication
network, where each user sends a message to the base station. Messages travel in hops via …

A Gibbsian model for message routeing in highly dense multihop networks

W König, A Tóbiás - arXiv preprint arXiv:1704.03499, 2017 - arxiv.org
We investigate a probabilistic model for routeing of messages in relay-augmented multihop
ad-hoc networks, where each transmitter sends one message to the origin. Given the …

Large Large deviations for spatial telecommunication systems: The boolean model

AK Boahen, T Katsekpor, K Doku-Amponsah - arXiv preprint arXiv …, 2021 - arxiv.org
Spatial telecommunication systems have evolved along the years, leading to some concerns
that telecommunication companies are facing today. The main inquietude is the ability to …

[PDF][PDF] A Gibbsian model for message routeing in highly dense multihop networks.

W König, A Tóbiás - ALEA. Latin American Journal of Probability & …, 2019 - alea.math.cnrs.fr
We investigate a probabilistic model for routeing of messages in relayaugmented multihop
ad-hoc networks, where each transmitter sends one message to the origin. Given the …

Probabilistic Methods for Spatial Multihop Communication Systems

B Jahnel, W König - Topics in Applied Analysis and Optimisation: Partial …, 2019 - Springer
We present and comment some recent modeling and results from stochastic geometry about
the functionality of spatial communication networks with a multihop system of message …

[PDF][PDF] für Angewandte Analysis und Stochastik

W König, A Tóbiás - wias-berlin.de
We investigate a probabilistic model for routeing in a multihop ad-hoc communication
network, where each user sends a message to the base station. Messages travel in hops via …