منابع مشابه
Universal formulas for percolation thresholds.
A power law is postulated for both site and bond percolation thresholds. The formula writes pc = p0[(d − 1)(q − 1)]d , where d is the space dimension and q the coordination number. All thresholds up to d → ∞ are found to belong to only three universality classes. For first two classes b = 0 for site dilution while b = a for bond dilution. The last one associated to high dimensions is characteri...
متن کاملPresentations of universal deformation rings
Let F be a finite field of characteristic ` > 0, F a number field, GF the absolute Galois group of F and let ρ̄ : GF → GLN (F) be an absolutely irreducible continuous representation. Suppose S is a finite set of places containing all places above ` and above ∞ and all those at which ρ̄ ramifies. Let O be a complete discrete valuation ring of characteristic zero with residue field F. In such a sit...
متن کاملControl-Lyapunov Universal Formulas for Restricted Inputs
We deal with the question of obtaining explicit feedback control laws that stabilize a nonlinear system, under the assumption that a “control Lyapunov function” is known. In previous work, the case of unbounded controls was considered. Here we obtain results for bounded and/or positive controls. We also provide some simple preliminary remarks regarding a set stability version of the problem and...
متن کاملUniversal Lie Formulas for Higher Antibrackets
We prove that the hierarchy of higher antibrackets (aka higher Koszul brackets, aka Koszul braces) of a linear operator ∆ on a commutative superalgebra can be defined by some universal formulas involving iterated Nijenhuis–Richardson brackets having as arguments ∆ and the multiplication operators. As a byproduct, we can immediately extend higher antibrackets to noncommutative algebras in a way ...
متن کاملExplicit Construction of Universal Deformation Rings
Let V be an absolutely irreducible representation of a profinite group G over the residue field k of a noetherian local ring O. For local complete O-algebras A with residue field k the representations of G over A that reduce to V over k are given by O-algebra homomorphisms R → A, where R is the universal deformation ring of V . We show this with an explicit construction of R. The ring R is noet...
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 Algebra
سال: 2015
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2014.949729