471 citations · 1.1k across the 39 of their papers we have counts for
44 papers
Estimating the hyperuniformity exponent of point processes
Gabriel Mastrilli, Bartłomiej Błaszczyszyn, Frédéric Lavancier
We address the challenge of estimating the hyperuniformity exponent of a spatial point process, given only one realization of it. Assuming that the structure factor of the…
Characterizing the Energy Trade-Offs of End-to-End Vehicular Communications using an Hyperfractal Urban Modelling
Dalia Popescu, Philippe Jacquet, Bernard Mans +1
We characterize trade-offs between the end-to-end communication delay and the energy in urban vehicular communications with infrastructure assistance. Our study exploits the self-s…
Particle gradient descent model for point process generation
Antoine Brochard, Bartłomiej Błaszczyszyn, Stéphane Mallat +1
This paper presents a statistical model for stationary ergodic point processes, estimated from a single realization observed in a square window. With existing approaches in stochas…
Coverage probability in wireless networks with determinantal scheduling
Bartek Błaszczyszyn, Antoine Brochard, H. Paul Keeler
We propose a new class of algorithms for randomly scheduling network transmissions. The idea is to use (discrete) determinantal point processes (subsets) to randomly assign medium…
Optimal stationary markings
Bartłomiej Błaszczyszyn, Christian Hirsch
Many specific problems ranging from theoretical probability to applications in statistical physics, combinatorial optimization and communications can be formulated as an optimal tu…
Relay-assisted Device-to-Device Networks: Connectivity and Uberization Opportunities
Quentin Le Gall, Bartłomiej Błaszczyszyn, Elie Cali +1
It has been shown that deploying device-to-device (D2D) networks in urban environments requires equipping a considerable proportion of crossroads with relays. This represents a nec…
Continuum Line-of-Sight Percolation on Poisson-Voronoi Tessellations
Quentin Le Gall, Bartłomiej Błaszczyszyn, Elie Cali +1
In this work, we study a new model for continuum line-of-sight percolation in a random environment driven by the Poisson-Voronoi tessellation in the -dimensional Euclidean space…
Statistical learning of geometric characteristics of wireless networks
Antoine Brochard, Bartłomiej Błaszczyszyn, Stéphane Mallat +1
Motivated by the prediction of cell loads in cellular networks, we formulate the following new, fundamental problem of statistical learning of geometric marks of point processes: A…
Determinantal thinning of point processes with network learning applications
Bartłomiej Błaszczyszyn, Paul Keeler
A new type of dependent thinning for point processes in continuous space is proposed, which leverages the advantages of determinantal point processes defined on finite spaces and,…
Analyzing LoRa long-range, low-power, wide-area networks using stochastic geometry
Bartłomiej Błaszczyszyn, Paul Mühlethaler
In this paper we present a simple, stochastic-geometric model of a wireless access network exploiting the LoRA (Long Range) protocol, which is a non-expensive technology allowing f…
The Influence of Canyon Shadowing on Device-to-Device Connectivity in Urban Scenario
Quentin Le Gall, Bartłomiej Błaszczyszyn, Elie Cali +1
In this work, we use percolation theory to study the feasibility of large-scale connectivity of relay-augmented device-to-device (D2D) networks in an urban scenario, featuring a ha…
Optimal Geographic Caching in Cellular Networks with Linear Content Coding
Jocelyne Elias, Bartłomiej Błaszczyszyn
We state and solve a problem of the optimal geographic caching of content in cellular networks, where linear combinations of contents are stored in the caches of base stations. We…
Optimizing spatial throughput in device-to-device networks
Bartłomiej Błaszczyszyn, Paul Keeler, Paul Mühlethaler
Results are presented for optimizing device-to-device communications in cellular networks, while maintaining spectral efficiency of the base-station-to-device downlink channel. We…
Gibbsian On-Line Distributed Content Caching Strategy for Cellular Networks
Arpan Chattopadhyay, Bartłomiej Błaszczyszyn, H. Paul Keeler
We develop Gibbs sampling based techniques for learning the optimal content placement in a cellular network. A collection of base stations are scattered on the space, each having a…
Location Aware Opportunistic Bandwidth Sharing between Static and Mobile Users with Stochastic Learning in Cellular Networks
Arpan Chattopadhyay, Bartłomiej Błaszczyszyn, Eitan Altman
We consider location-dependent opportunistic bandwidth sharing between static and mobile downlink users in a cellular network. Each cell has some fixed number of static users. Mobi…
Limit theory for geometric statistics of point processes having fast decay of correlations
B. Blaszczyszyn, D. Yogeshwaran, J. E. Yukich
Let be a simple,stationary point process having fast decay of correlations, i.e., its correlation functions factorize up to an additive error decaying faster than any power of…
Cell planning for mobility management in heterogeneous cellular networks
Arpan Chattopadhyay, Bartłomiej Błaszczyszyn, Eitan Altman
In small cell networks, high mobility of users results in frequent handoff and thus severely restricts the data rate for mobile users. To alleviate this problem, we propose to use…
Performance laws of large heterogeneous cellular networks
Bartlomiej Blaszczyszyn, Miodrag Jovanovic, Mohamed Kadhem Karray
We propose a model for heterogeneous cellular networks assuming a space-time Poisson process of call arrivals, independently marked by data volumes, and served by different types o…
What frequency bandwidth to run cellular network in a given country? - a downlink dimensioning problem
Bartlomiej Blaszczyszyn, Mohamed Kadhem Karray
We propose an analytic approach to the frequency bandwidth dimensioning problem, faced by cellular network operators who deploy/upgrade their networks in various geographical regio…
Optimal Geographic Caching In Cellular Networks
Bartlomiej Blaszczyszyn, Anastasios Giovanidis
In this work we consider the problem of an optimal geographic placement of content in wireless cellular networks modelled by Poisson point processes. Specifically, for the typical…
Wireless networks appear Poissonian due to strong shadowing
Bartlomiej Blaszczyszyn, Mohamed Kadhem Karray, Holger Paul Keeler
Geographic locations of cellular base stations sometimes can be well fitted with spatial homogeneous Poisson point processes. In this paper we make a complementary observation: In…
SINR in wireless networks and the two-parameter Poisson-Dirichlet process
Holger Paul Keeler, Bartlomiej Blaszczyszyn
Stochastic geometry models of wireless networks based on Poisson point processes are increasingly being developed with a focus on studying various signal-to-interference-plus-noise…
Studying the SINR process of the typical user in Poisson networks by using its factorial moment measures
Bartlomiej Blaszczyszyn, Holger Paul Keeler
Based on a stationary Poisson point process, a wireless network model with random propagation effects (shadowing and/or fading) is considered in order to examine the process formed…
Pioneers of Influence Propagation in Social Networks
Kumar Gaurav, Bartlomiej Blaszczyszyn, Holger Paul Keeler
With the growing importance of corporate viral marketing campaigns on online social networks, the interest in studies of influence propagation through networks is higher than ever.…