262 citations · 947 across the 34 of their papers we have counts for
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Universality of the Hall conductivity in interacting electron systems
Alessandro Giuliani, Vieri Mastropietro, Marcello Porta
We prove the quantization of the Hall conductivity for general weakly interacting gapped fermionic systems on two-dimensional periodic lattices. The proof is based on fermionic clu…
Effective Evolution Equations from Quantum Dynamics
Niels Benedikter, Marcello Porta, Benjamin Schlein
In these notes we review the material presented at the summer school on "Mathematical Physics, Analysis and Stochastics" held at the University of Heidelberg in July 2014. We consi…
From the Hartree dynamics to the Vlasov equation
Niels Benedikter, Marcello Porta, Chiara Saffirio +1
We consider the evolution of quasi-free states describing fermions in the mean field limit, as governed by the nonlinear Hartree equation. In the limit of large , we study t…
Asymptotic analysis of hierarchical martensitic microstructure
Pierluigi Cesana, Marcel Porta, Turab Lookman
We consider a hierarchical nested microstructure, which also contains a point of singularity (disclination) at the origin, observed in lead orthovanadate. We show how to exactly co…