Concept

Topologie de Zariski

Publications associées (35)

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Homotopy theory of modules over operads and non-Sigma operads in monoidal model categories

We establish model category structures on algebras and modules over operads and non-Sigma operads in monoidal model categories The results have applications in algebraic topology, stable homotopy theory, and homological algebra (C) 2009 Elsevier B V All ri ...

Elsevier2010

Categorical Foundations for K-theory

Nicolas Mathieu Michel

K-Theory was originally defined by Grothendieck as a contravariant functor from a subcategory of schemes to abelian groups, known today as K0. The same kind of construction was then applied to other fields of mathematics, like spaces and (not necessarily c ...

EPFL2010

Linear spectrum of a quantum dot coupled to a nanocavity

Vincenzo Savona, Guillaume Jean Tarel

We develop a theoretical formalism to model the linear spectrum of a quantum dot embedded in a high-quality cavity, in the presence of an arbitrary mechanism modifying the homogeneous spectrum of the quantum dot. Within the simple assumption of Lorentzian ...

2010

Band structure scenario for the giant spin-orbit splitting observed at the Bi/Si(111) interface

Marco Grioni, Emmanouil Frantzeskakis

The Bi/Si(111) (root 3 x root 3)R30 degrees trimer phase offers a prime example of a giant spin-orbit splitting of the electronic states at the interface with a semiconducting substrate. We have performed a detailed angle-resolved photoemission spectroscop ...

2010

Early consensus in complex networks under variable graph topology

Martin Hasler, Leonidas Georgopoulos

Analysis of the linear algorithm for consensus on complex networks shows the existence of two distinct phases, the asymptotic and the transient. The network reaches the asymptotic when the components corresponding to the spectral gap eigenvalue of the weig ...

IEEE2009

Coalgèbres d'Alexander-Whitney

Théophile Naïto

The goal of this work is to study Alexander-Whitney coalgebras (first defined in [HPST06]) from a topological point of view. An Alexander-Whitney coalgebra is a coassociative chain coalgebra over Z with an extra algebraic structure : the comultiplication m ...

EPFL2009

Multiplicities of simple closed geodesics and hypersurfaces in Teichmuller space

Hugo Parlier

Using geodesic length functions, we define a natural family of real codimension 1 subvarieties of Teichmuller space, namely the subsets where the lengths of two distinct simple closed geodesics are of equal length. We investigate the point set topology of ...

2008

The complexity of reliable distributed storage

Ron Levy

Distributed storage systems based on commodity hardware have gained in popularity because they are cheaper, can be made more reliable and offer better scalability than centralized storage systems. However, implementing and managing such systems is more com ...

EPFL2008

Hierarchical Routing over Dynamic Wireless Networks

Matthias Grossglauser, Suhas Diggavi, Dominique Florian Tschopp

Dynamic networks are those where the topology changes over time and therefore efficient routes need to be maintained by frequent updates. Such updates could be costly in terms of consuming throughput available for data transmission, which is a precious res ...

2007

High Throughput Total Order Broadcast for Cluster Environments

Rachid Guerraoui, Bastian Pochon, Ron Levy

Total order broadcast is a fundamental communication primitive that plays a central role in bringing cheap software-based high availability to a wide array of services. This paper studies the practical performance of such a primitive on a cluster of homoge ...

2006