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pro vyhledávání: '"Ferdinand, Léonard"'
Autor:
Chandra, Ajay, Ferdinand, Léonard
We show that the flow approach of Duch [Duc21] can be adapted to prove local well-posedness for the generalized Kardar-Parisi-Zhang equation. The key step is to extend the flow approach so that it can accommodate semi-linear equations involving smoot
Externí odkaz:
http://arxiv.org/abs/2402.03101
We argue that the spectrally cut-off Gaussian free field $\Phi_\Lambda$ on a compact Riemannian manifold or on $\mathbb{R}^n$ cannot satisfy the spatial Markov property. Moreover, when the manifold is reflection positive, we show that $\Phi_\Lambda$
Externí odkaz:
http://arxiv.org/abs/2312.15511
Autor:
Chandra, Ajay, Ferdinand, Léonard
We present two different arguments using stochastic analysis to construct super-renormalizable tensor field theories, namely the $\mathrm{T}^4_3$ and $\mathrm{T}^4_4$ models. The first approach is the construction of a Langevin dynamic combined with
Externí odkaz:
http://arxiv.org/abs/2306.05305
Publikováno v:
Ann. Henri Poincar\'e 25, 2037-2064 (2024)
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 correlations of the model. The Borel summability holds uniformly in the
Externí odkaz:
http://arxiv.org/abs/2209.09045
Publikováno v:
Phys. Rev. D 103, 043532 (2021)
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 a dark matter candidate. We show that the model is severely constrain
Externí odkaz:
http://arxiv.org/abs/2101.01949