Live briefing
Everything about Approximate group
Mathematical concept
In mathematics, an approximate group is a subset of a group which behaves like a subgroup "up to a constant error", in a precise quantitative sense. For example, it is required that the set of products of elements in the subset be not much bigger than the subset itself. The notion was introduced in the 2010s but can be traced to older sources in additive combinatorics. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Approximate groupA 5-minute orientation
- Skim a recent paper: Why Full, Partial, or Approximate Measurement Invariance Are Not a Prerequisite for Meaningful and Valid Group ComparisonsInfluential work since 2022
- Pick up a classic book: Non-connected convexities and applicationsThe most-reprinted book on the subject
- Read the landmark paper: Exact and Approximate Arithmetic in an Amazonian Indigene GroupCited 915 times
- Go sideways: Freiman's theoremA closely related topic
- Go sideways: Growth rate (group theory)A closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Exact and Approximate Arithmetic in an Amazonian Indigene Group
THE EXACT RENORMALIZATION GROUP AND APPROXIMATE SOLUTIONS
Variational Principles and Approximate Renormalization Group Calculations
Approximate Renormalization Group Based on the Wegner-Houghton Differential Generator
Stable group theory and approximate subgroups
Exact and approximate differential renormalization-group generators
Congressional samples for approximate answering of group-by queries
Projections and approximate identities for ideals in group algebras
🆕 Influential since 2022
Why Full, Partial, or Approximate Measurement Invariance Are Not a Prerequisite for Meaningful and Valid Group Comparisons
Fair Representation: Guaranteeing Approximate Multiple Group Fairness for Unknown Tasks
A parallel approximate evaluation-based model for multi-objective operation optimization of reservoir group
An Efficient Approximate Multiplier with Encoded Partial Products and Inexact Counter for Joint Photographic Experts Group Compression
Renormalization group and approximate error correction
📚 Books worth reading
Non-connected convexities and applicationsGabriela Cristescu, G. Cristescu · 2002
Wavelets through a looking glassOla Bratteli, Palle Jorgensen · 2002
Lectures on differential geometryShlomo Sternberg · 1964- 📕Semi-groups of operators and approximationPaul L. Butzer · 1967
- 📕Approximations of nonlinear systems having outputsL. R. Hunt · 1985
- 📕Analytic semigroupsH. Thomas Banks · 1990
Banach spaces, harmonic analysis, and probability theoryR. C. Blei, S. J. Sidney · 1983
Topics in hyperplane arrangements, polytopes and box-splinesCorrado De Concini · 2010
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Freiman's theorem In additive combinatorics, a discipline within mathematics, Freiman's theorem is a central result which indicates the approximate structure of sets whose…
- Growth rate (group theory) In the mathematical subject of geometric group theory, the growth rate of a group with respect to a symmetric generating set describes how fast a group…
- Gromov's theorem on groups of polynomial growth In geometric group theory, Gromov's theorem on groups of polynomial growth, first proved by Mikhail Gromov, characterizes finitely generated groups of…
- Lattice (discrete subgroup) In Lie theory and related areas of mathematics, a lattice in a locally compact group is a discrete subgroup with the property that the quotient space has…
- Hypergraph regularity method In mathematics, the hypergraph regularity method is a powerful tool in extremal graph theory that refers to the combined application of the hypergraph…
- Adele ring In number theory, the adele ring is a construction that combines all local versions of a global field into one object. For the rational numbers, these…
- Virtually In mathematics, especially in the area of abstract algebra that studies infinite groups, the adverb virtually is used to modify a property so that it need…
- Quasi-isometry In mathematics, a quasi-isometry is a function between two metric spaces that respects large-scale geometry of these spaces and ignores their small-scale…