Results 51 to 60 of about 2,025,014 (262)
, 2007 Coding theory lies naturally at the intersection of a large number of disciplines in pure and applied mathematics: algebra and number theory, probability theory and statistics, communication theory, discrete mathematics and combinatorics, complexity ...
core +2 more sources
The Mathematical Universe in a Nutshell [PDF]
arXiv, 2002 The mathematical universe discussed here gives models of possible structures our physical universe can have.
arxiv
The Hilton–Milnor theorem in higher topoi
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1468-1481, May 2025.Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley +1 more source
Peak reduction technique in commutative algebra
, 1999 The "peak reduction" method is a powerful combinatorial technique with applications in many different areas of mathematics as well as theoretical computer science.
D Wright +11 more
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On the isomorphism problem for monoids of product‐one sequences
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1482-1495, May 2025.Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley +1 more source
Brief Lecture Notes on Self-Referential Mathematics, and Beyond [PDF]
arXiv, 2009 Recently delivered lectures on Self-Referential Mathematics, [2], at the Department of Mathematics and Applied Mathematics, University of Pretoria, are briefly presented. Comments follow on the subject, as well as on Inconsistent Mathematics.
arxiv
Transitive factorizations of permutations and geometry [PDF]
, 2014 We give an account of our work on transitive factorizations of permutations. The work has had impact upon other areas of mathematics such as the enumeration of graph embeddings, random matrices, branched covers, and the moduli spaces of curves.
Goulden, I. P., Jackson, D. M.
core
On an Erdős similarity problem in the large
Bulletin of the London Mathematical Society, EarlyView.Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao +2 more
wiley +1 more source
Applied Philosophy in Mathematics [PDF]
arXiv, 2020 We show a possibility to apply certain philosophical concepts to the analysis of concrete mathematical structures. Such application gives a clear justification of topological and geometric properties of considered mathematical objects.
arxiv
Combinatorics: The Mathematics of Fair Thieves and Sophisticated Forgetters [PDF]
, 2023 Noga Alon
openalex +1 more source