Noncommutative sets of small doubling
نویسندگان
چکیده
منابع مشابه
The Fermion Doubling Problem and Noncommutative Geometry
We propose a resolution for the fermion doubling problem in discrete field theories based on the fuzzy sphere and its Cartesian products. The nonperturbative formulation of chiral gauge theories is a long standing programme in particle physics. It seems clear that one should regularise these theories with all symmetries intact. There are two major problems associated with conventional lattice a...
متن کاملNull Sets for Doubling and Dyadic Doubling Measures
In this note, we study sets on the real line which are null with respect to all doubling measures on R, or with respect to all dyadic doubling measures on R. We give some suucient conditions for the former, a test for the latter, and some examples. Our work is motivated by a characterization of dyadic doubling measures by Feeerman, Kenig and Pipher 5], and by a result of Martio 8] on porous set...
متن کاملChapter 1: Small Doubling
To get some intuition, we begin with the group of real numbers R under addition. A trivial upper bound for the size of a sum set is |A + A| ≤ |A| 2+|A| 2 (equality is obtained when every pair of elements of A have a distinct sum). If we build A by taking elements of R at random, then we expect |A+A| to be very close to this upper bound, since the probability of a1+a2 = a3+a4 is very small (wher...
متن کاملLocal Doubling Dimension of Point Sets
We introduce the notion of t-restricted doubling dimension of a point set in Euclidean space as the local intrinsic dimension up to scale t. In many applications information is only relevant for a fixed range of scales. We present an algorithm to construct a hierarchical net-tree up to scale t which we denote as the net-forest. We present a method based on Locality Sensitive Hashing to compute ...
متن کاملThe Fermion Doubling Problem and Noncommutative Geometry II
In our previous paper (hep-th/9911087), we proposed a resolution for the fermion doubling problem in discrete field theories based on the fuzzy sphere and its cartesian products. In this paper after a review of that work, we bring out its relationship to the Ginsparg-Wilson approach. The nonperturbative formulation of chiral gauge theories is a long standing programme in particle physics. It se...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2013
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2013.05.028