Vincent Rivasseau

activity

20242026

collaborators

Showing math-phShow all

3 papers · 1 filter

math-ph2026

Multiscale Loop Vertex Expansion for Cumulants, the $ϕ_{2}^{4}$ Model

Vincent Rivasseau

We consider the $ϕ_{2}^{4}$ model. It has been called the simplest non- trivial super-renormalisable model. The method we use is the multiscale loop vertex expansion, an improvement of…

math-ph2026

Variational Loop Vertex Expansion for Cumulants

Vincent Rivasseau

Extending recent advances on constructive quantum field theory, we study cumulants of one of the simplest matrix models in the regime of bounded rank. We analyze both ordinary cumu…

math-ph2024

The Tensor Track VIII: Stochastic Analysis

V. Rivasseau

Assuming some familiarity with quantum field theory and with the tensor track approach that we presented in the previous series Tensor Track I-VII, we provide, as usual, the develo…

Multiscale Loop Vertex Expansion for Cumulants, the ϕ24​ Model

Variational Loop Vertex Expansion for Cumulants

The Tensor Track VIII: Stochastic Analysis

Multiscale Loop Vertex Expansion for Cumulants, the $ϕ_{2}^{4}$ Model