Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Baverez, Guillaume"'
Autor:
Baverez, Guillaume, Jego, Antoine
This paper initiates the study of the conformal field theory of the SLE$_\kappa$ loop measure $\nu$ for $\kappa\in(0,4]$, the range where the loop is almost surely simple. First, we construct two commuting representations $(\mathbf{L}_n,\bar{\mathbf{
Externí odkaz:
http://arxiv.org/abs/2407.09080
In conformal field theory, the semigroup of annuli with boundary parametrization plays a special role, in that it generates the whole algebra of local conformal symmetries, the so-called Virasoro algebra. The subgroup of elements $\mathbb{A}_f=\mathb
Externí odkaz:
http://arxiv.org/abs/2403.10914
In this note we continue the study of imaginary multiplicative chaos $\mu_\beta := \exp(i \beta \Gamma)$, where $\Gamma$ is a two-dimensional continuum Gaussian free field. We concentrate here on the fine-scale analytic properties of $|\mu_\beta(Q(x,
Externí odkaz:
http://arxiv.org/abs/2401.14942
Autor:
Baverez, Guillaume, Wu, Baojun
In a previous work, we investigated the analytic continuation of the bulk Poisson operator of Liouville conformal field theory on the holomorphic part of Fock space and used it to construct irreducible representations of the Virasoro algebra at the d
Externí odkaz:
http://arxiv.org/abs/2312.13900
Autor:
Baverez, Guillaume, Wu, Baojun
In the context of Liouville conformal field theory, we construct the highest-weight representations of the Virasoro algebra at the degenerate values of the conformal weight (Kac table). We show that these modules are irreducible, giving a complete ch
Externí odkaz:
http://arxiv.org/abs/2312.07344
Publikováno v:
Prob. Math. Phys. 5 (2024) 269-320
In this work, we construct a representation of the Virasoro algebra in the canonical Hilbert space associated to Liouville conformal field theory. The study of the Virasoro operators is performed through the introduction of a new family of Markovian
Externí odkaz:
http://arxiv.org/abs/2204.02745
Autor:
Baverez, Guillaume
We prove that the welding homeomomorphism of SLE$_4$ is almost surely $\log$-regular. In a previous version of this work, we had erroneously deduced its removability from this property. Nevertheless, the $\log$-regularity does provide some informatio
Externí odkaz:
http://arxiv.org/abs/2004.09462
Autor:
Baverez, Guillaume, Wong, Mo Dick
David-Kupiainen-Rhodes-Vargas introduced a probabilistic framework based on the Gaussian Free Field and Gaussian Multiplicative Chaos in order to make sense rigorously of the path integral approach to Liouville Conformal Field Theory (LCFT). We use t
Externí odkaz:
http://arxiv.org/abs/1807.10207
Autor:
Baverez, Guillaume
Publikováno v:
Electron. J. Probab. 24 (2019), paper no. 144, 22 pp
Based on the rigorous path integral formulation of Liouville Conformal Field Theory initiated by David-Kupiainen-Rhodes-Vargas on the Riemann sphere and David-Rhodes-Vargas on the torus of modulus $\tau$, we give the exact asymptotic behaviour of the
Externí odkaz:
http://arxiv.org/abs/1805.09766
Autor:
Baverez, Guillaume
This thesis is concerned with conformally invariant stochastic processes in two dimensions and their applications to conformal field theory (CFT). The main probabilistic objects are the Gaussian free field (GFF) and the random geometries associated t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f5aa341eb542487a63e4fa5afff82157