Geometry of bounded critical phenomena
نویسندگان
چکیده
منابع مشابه
Quantum Gravity, Random Geometry and Critical Phenomena
We discuss the theory of non-critical strings with extrinsic curvature embedded in a target spac d greater than one. We emphasize the analogy between 2d gravity coupled to matter and non liquid-like membranes with bending rigidity. We rst outline the exact solution for strings in dime via the double scaling limit of matrix models and then discuss the diiculties of an extension to d > from recen...
متن کاملGeometry of Bounded Domains
In this paper, we shall study differential geometric properties of bounded domains in Cn. Here is the summary of our results. We consider an w-dimensional complex manifold M and the Hilbert space of square integrable holomorphic re-forms on M. After Bergman [3; 4; 5], we define the kernel form on M (instead of the kernel function) and, under certain assumptions, we define the invariant metric o...
متن کاملBounded Fréchet geometry
The aim of this article is to present the category of bounded Fréchet manifolds in which we will establish an inverse function theorem in the sense of Nash and Moser in more geometric terms and without the peculiarities of the tame category.
متن کاملProbabilistic aspects of critical phenomena∗
To be definite we shall consider the problem of critical fluctuations with the purpose of illustrating their relevance in the analysis of other difficult problems like field theory.
متن کاملGeometry and Analysis of Boundary-Manifolds of Bounded Geometry
In this paper, we investigate analytical and geometric properties of certain non-compact boundary-manifolds, namely manifolds of bounded geometry. One result are strong Bochner type vanishing results for the L-cohomology of these manifolds: if e.g. a manifold admits a metric of bounded geometry which outside a compact set has nonnegative Ricci curvature and nonnegative mean curvature (of the bo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2020
ISSN: 1742-5468
DOI: 10.1088/1742-5468/ab7f32