Maximal Fluctuations on Periodic Lattices: An Approach via Quantitative Wulff Inequalities
نویسندگان
چکیده
منابع مشابه
An Approach to Deriving Maximal Invariant Statistics
Invariance principles is one of the ways to summarize sample information and by these principles invariance or equivariance decision rules are used. In this paper, first, the methods for finding the maximal invariant function are introduced. As a new method, maximal invariant statistics are constructed using equivariant functions. Then, using several equivariant functions, the maximal invariant...
متن کاملMaximal Inequalities for Associated Random Variables
In a celebrated work by Shao [13] several inequalities for negatively associated random variables were proved. In this paper we obtain some maximal inequalities for associated random variables. Also we establish a maximal inequality for demimartingales which generalizes and improves the result of Christofides [4].
متن کاملOn maximal sublattices of finite lattices
We discuss the possible structures for and mutual relationships between a finite distributive lattice L, a maximal sublattice M of L and the corresponding ‘remainder’ R = L\M with the aid of Birkhoff duality, and contrast the results with the analogous situations for a general finite lattice L. @ 1999 Elsevier Science B.V. All rights reserved
متن کاملOn Lattices of Maximal Index Two
The maximal index of a Euclidean lattice L of dimension n is the maximal index of the sublattices of L spanned by n independent minimal vectors of L. In this paper, we prove that a perfect lattice of maximal index two which is not provided by a cross-section has dimension at most 5.
متن کاملThe Wulff-shape of large periodic sphere packings
We determine the shape of large densest periodic packings of spheres with diierent radii. The density is measured by parametric density and the density deviation, which measures the average diierence between the density of nite and innnite packings. The asymptotic shapes are the Wull{ shapes, which are polytopes and good models for crystal shapes.
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: Communications in Mathematical Physics
سال: 2019
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-019-03612-3