385 citations · 4.3k across the 93 of their papers we have counts for
101 papers
Loop Vertex Representation for Cumulants, Part I: Bounds on Free Energy with Sources
Vincent Rivasseau
In this paper we construct cumulants for stable random matrix models with single trace interactions of arbitrarily high even order. We obtain explicit and convergent expansions for…
The Tensor Track VII: From Quantum Gravity to Artificial Intelligence
Mohamed Ouerfelli, Vincent Rivasseau, Mohamed Tamaazousti
Assuming some familiarity with quantum field theory and with the tensor track approach that one of us presented in the previous series Tensor Track I to VI, we provide, as usual, t…
Selective Multiple Power Iteration: from Tensor PCA to gradient-based exploration of landscapes
Mohamed Ouerfelli, Mohamed Tamaazousti, Vincent Rivasseau
We propose Selective Multiple Power Iterations (SMPI), a new algorithm to address the important Tensor PCA problem that consists in recovering a spike corrup…
Honeycomb Hubbard Model at van Hove Filling
Vincent Rivasseau, Zhituo Wang
This paper is devoted to the rigorous study of the low temperature properties of the two-dimensional weakly interacting Hubbard model on the honeycomb lattice in which the renormal…
Honeycomb Hubbard Model at van Hove Filling II: Lower Bounds of the Self-Energy
Vincent Rivasseau, Zhituo Wang
In this paper we complete the proof that the honeycomb Hubbard model with renormalized chemical potential is {\it not} a Fermi liquid in the mathematically precise sense of S…
Can we make sense out of "Tensor Field Theory"?
Vincent Rivasseau, Fabien Vignes-Tourneret
We continue the constructive program about tensor field theory through the next natural model, namely the rank five tensor theory with quartic melonic interactions and propagator i…