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Continuum percolation theory

Publications associées (19)

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The Contact Process

Daniel Rodrigues Valesin

This work is a study of three interacting particle systems that are modified versions of the contact process. The contact process is a spin system defined on a graph and is commonly taken as a model for the spread of an infection in a population; transmiss ...

EPFL2011

Estimating small-world topology of neural networks from multi-electrode recordings

Wulfram Gerstner, Joao Emanuel Felipe Gerhard

Since the seminal work of Watts in the late 90s, graph-theoretic analyses have been performed on many complex dynamic networks, including brain structures. Most studies have focused on functional connectivity defined between whole brain regions, using imag ...

2011

Dirac Group(oid)s and Their Homogeneous Spaces

Madeleine Jotz

A theorem of Drinfel'd (Drinfel'd (1993)) classifies the Poisson homogeneous spaces of a Poisson Lie group (G,πG) via a special class of Lagrangian subalgebras of the Drinfel'd double of its Lie bialgebra. This result is extended in Liu et al. (1998) to a ...

EPFL2011

Estimating small-world topology of neural networks from multi-electrode recordings

Wulfram Gerstner, Joao Emanuel Felipe Gerhard

Since the seminal work of Watts in the late 90s [1], graph-theoretic analyses have been performed on many complex dynamic networks, including brain structures [2]. Most studies have focused on functional connectivity defined between whole brain regions, us ...

2010

Optimal percolation of disordered segregated composites

Peter Ryser, Claudio Grimaldi, Thomas Maeder, Niklaus Johner

We evaluate the percolation threshold values for a realistic model of continuum segregated systems, where random spherical inclusions forbid the percolating objects, modellized by hard-core spherical particles surrounded by penetrable shells, to occupy lar ...

2009

Source coding in sensor networks

Robert Konsbruck

Wireless sensor networks have emerged as versatile tools to monitor the evolution of physical fields over large areas by means of self-powered and low-cost sensing devices. Although their development was originally motivated by military applications, they ...

EPFL2009

Percolation in the signal to interference ratio graph

Patrick Thiran, Nicolas Macris, Olivier Dousse

Continuum percolation models in which pairs of points of a two-dimensional Poisson point process are connected if they are within some range to each other have been extensively studied. This paper considers a variation in which a connection between two poi ...

2006

Percolation in the signal to interference ratio graph

Patrick Thiran, Nicolas Macris, Olivier Dousse

2005

Atomic-scale modelling of kinetic processes occurring during silicon oxidation

Alfredo Pasquarello, Angelo Bongiorno

We model the fundamental kinetic processes occurring during silicon oxidation at the atomic scale. We first focus on the diffusion of the, neutral O-2 molecule through the oxide layer. By combining ab initio and classical simulations, we derive a statistic ...

2005