21.7k citations
- Centre National de la Recherche ScientifiqueFR10k papers
- Université Paris CitéFR5.1k papers
- Université Paris Sciences et LettresFR3k papers
- Université Paris-SaclayFR2.2k papers
- Institut d'Astrophysique de ParisFR2.2k papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR1.9k papers
- CEA Paris-SaclayFR1.7k papers
- Aix-Marseille UniversitéFR1.7k papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR1.6k papers
- University of OxfordGB1.6k papers
- Observatoire de ParisFR1.6k papers
- University of CambridgeGB1.5k papers
24 papers · 2 filters
Tilings of space and superhomogeneous point processes
Andrea Gabrielli, Michael Joyce, Salvatore Torquato
We consider the construction of point processes from tilings, with equal volume tiles, of d-dimensional Euclidean space. We show that one can generate, with simple algorithms ascri…
Group testing with Random Pools: Phase Transitions and Optimal Strategy
M. Mézard, M. Tarzia, C. Toninelli
The problem of Group Testing is to identify defective items out of a set of objects by means of pool queries of the form "Does the pool contain at least a defective?". The aim is o…
Comment on "Localization Transition of Biased Random Walks on Random Networks"
O. Benichou, R. Voituriez
Sood and Grassberger studied in [Phys. Rev. Lett. 99, 098701 (2007)] random walks on random graphs that are biased towards a fixed target point. They put forward a critical bias st…
First-passage times in complex scale-invariant media
S. Condamin, O. Benichou, V. Tejedor +2
How long does it take a random walker to reach a given target point? This quantity, known as a first passage time (FPT), has led to a growing number of theoretical investigations o…
Two-point correlation properties of stochastic "cloud processes''
Andrea Gabrielli, Michael Joyce
We study how the two-point density correlation properties of a point particle distribution are modified when each particle is divided, by a stochastic process, into an equal number…
Statistical Physics of Group Testing
Marc Mezard, Marco Tarzia, Cristina Toninelli
This paper provides a short introduction to the group testing problem, and reviews various aspects of its statistical physics formulation. Two main issues are discussed: the optima…