Perturbations of multiple Schramm–Loewner evolution with two non-colliding Dyson Brownian motions
نویسندگان
چکیده
In this article we study multiple SLE?, for ??(0,4], driven by Dyson Brownian motions. This model was introduced in the unit disk Cardy, (2003) connection with Calogero–Sutherland model. We prove Carathéodory convergence of perturbed Loewner chains under different initial conditions and diffusivity ??(0,4] case N=2 driving forces. Our proofs use analysis Bessel processes estimates on differential equation last section, estimate Hausdorff distance hulls perturbations forces, assumptions modulus derivative maps.
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2022
ISSN: ['1879-209X', '0304-4149']
DOI: https://doi.org/10.1016/j.spa.2022.06.014