尼斯大学的全称是尼斯-索菲亚·昂蒂波利斯大学，其前身是尼斯法律学院，成立于17世纪，是法国南部久负盛名的顶级公立大学，坐落于法国著名旅游城市尼斯。 尼斯大学于1989年起正式使用现在的名称，以显示大学和素菲亚安提布列科技园的密切关系。1965 年，经法国政府的一项法令而成立，经过50多年的发展，尼斯大学堪称法国最大的多学科综合性大学。其主校区在尼斯市，共有 7个校园；同时在索菲亚·昂蒂波利斯市设有 4 个直属分校，此外，还在戛纳和芒通市设有附属教学机构；校区覆盖总面积达 20 万平方米。大学的校行政总部及主要机构目前设在自然科学教学研究单位所在地瓦尔罗斯公园校区内的瓦尔罗斯城堡内。尼斯大学所在的蔚蓝海岸大学联盟 Université Côte d'Azur 属于法国政府“未来投资计划”重点打造的十所卓越大学之一。
We show that a generic analytic strongly convex billiard is "maximally chaotic" in the sense that, for every rational number p/q∈ℚ∩ (0,1), all intersections between the stable and unstable manifolds of maximizing periodic orbits with rotation number p/q are transverse.
In this paper, we construct a new class of uniformly rotating vortex sheets arising as perturbations of the circular configuration within the Kelvin–Helmholtz model for two incompressible fluids of equal density, with surface tension effects taken into account. Despite the fundamental importance of the problem, few results are available on the long-time dynamics, due to the strong instability inherent in the Kelvin–Helmholtz mechanism. We carry out a detailed bifurcation analysis and construct families of nontrivial rotating solutions that bifurcate from the circular state when either the rotational speed or the surface tension coefficient is varied. The stationary branches obtained by varying the mean vorticity follow from the same analysis through the scaling symmetry of the equations.
Quasars hosting greater than or similar to 10(9) M-circle dot black holes at z > 6 challenge growth scenarios that start from light seeds and assume accretion within already formed galaxies. Motivated by the James Webb Space Telescope (JWST) discovery of Little Red Dots (LRDs), which suggests that similar to 10(6) M-circle dot black holes can be active in compact, pre-galactic environments, we revisit early black hole growth with a minimal cosmology-based framework. We model the accretion history as the smaller of the Bondi inflow rate and the Eddington-limited rate, where the Bondi rate is set by the supply of overdense primordial gas whose density declines with cosmic expansion, and the Eddington rate captures regulation by radiative feedback. By fitting the observed masses and luminosities of J0313-1806(z = 7.64) and J0100+2802 (z = 6.30) with Bayesian inference, we infer initial conditions that favor massive seed black holes with initial mass M-0 similar to 10(6) M-circle dot, formed at z similar to 20-30 in environments with baryonic overdensity factors f(rho) greater than or similar to 50 relative to the cosmic mean. The resulting growth histories include a prolonged supply-limited stage, and they reproduce the observed quasar masses without requiring sustained Eddington accretion or any super-Eddington episodes. The inferred seed mass scale is consistent with black holes produced by the collapse of quantum-degenerate fermion dark matter cores, providing a physically defined pathway to massive seeds at the redshifts implied by LRD phenomenology.
We study a problem of minimal surfaces with free boundary written in the form of a non convex minimization problem. Our aim is to characterize optimal solutions by finding a suitable calibration field. A natural upper bound of the infimum is given by a variant of the Cheeger problem that we solve explicitly proving the optimality thanks to the construction of a cut-locus potential. The comparison with the original problem is then discussed in detail.
