9 citations · 14 across the 5 of their papers we have counts for
6 papers
Spectrally cut-off GFF, regularized measure, and reflection positivity
Ismael Bailleul, Nguyen Viet Dang, Léonard Ferdinand +2
We argue that the spectrally cut-off Gaussian free field on a compact Riemannian manifold or on cannot satisfy the spatial Markov property. Moreover, when the…
Global harmonic analysis for on closed Riemannian manifolds
I. Bailleul, N. V. Dang, L. Ferdinand +1
Following Parisi \& Wu's paradigm of stochastic quantization, we constructed in \cite{BDFT} a measure on an arbitrary closed, compact Riemannian manifold of dimension as…
A Stochastic Analysis Approach to Tensor Field Theories
Ajay Chandra, Léonard Ferdinand
We present two different arguments using stochastic analysis to construct super-renormalizable tensor field theories, namely the and models. The f…
measures on compact Riemannian -manifolds
I. Bailleul, N. V. Dang, L. Ferdinand +1
We construct the measure on an arbitrary 3-dimensional compact Riemannian manifold without boundary as an invariant probability measure of a singular stochastic partial dif…
Borel summability of the 1/N expansion in quartic O(N)-vector models
Léonard Ferdinand, Razvan Gurau, Carlos I. Perez-Sanchez +1
We consider a quartic O(N)-vector model. Using the Loop Vertex Expansion, we prove the Borel summability in 1/N along the real axis of the partition function and of the connected c…
Closer look at white hole remnants
Aurélien Barrau, Léonard Ferdinand, Killian Martineau +1
The idea that, after their evaporation, Planck-mass black holes might tunnel into metastable white holes has recently been intensively studied. Those relics have been considered as…