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Some implications of local weak convergence for sparse random graphs
In the so-called sparse regime where the numbers of edges and vertices tend to infinity in a comparable way, the asymptotic behavior of many graph invariants is... -
Out of equilibrium quantum dynamics and disordered systems in bosonic ultraco...
The fast progress of cold atoms experiments in the last decade has allowed to explore new aspects of strongly correlated systems. This thesis deals with two such... -
Two-dimensional Spin Ice and the Sixteen-Vertex Model
In this thesis we present a thorough study of the static and dynamic properties of the 2D sixteen-vertex model or, in other words, a simplified version of the dipolar... -
Load-balancing and resource-provisioning in large distributed systems
The main theme of this thesis is load-balancing in large sparse random graphs. In the computer science context, a load-balancing problem occurs when we have a set of...
