Results 81 to 90 of about 44,187 (190)
The structure of sets with cube‐avoiding sumsets
Mathematika, Volume 71, Issue 4, October 2025.Abstract Suppose G$G$ is a finite abelian group, Z0⊂G$Z_0 \subset G$ is not contained in any strict coset in G$G$, and E,F$E,F$ are dense subsets of Gn$G^n$ such that the sumset E+F$E+F$ avoids Z0n$Z_0^n$. We show that E$E$ and F$F$ are almost entirely contained in sets defined by a bounded number of coordinates, that is, sets E′×GIc$E^{\prime } \times
Thomas Karam, Peter Keevash
wiley +1 more source
Mathematika, Volume 71, Issue 4, October 2025.Abstract Motivated by general probability theory, we say that the set S$S$ in Rd$\mathbb {R}^d$ is antipodal of rank k$k$, if for any k+1$k+1$ elements q1,…qk+1∈S$q_1,\ldots q_{k+1}\in S$, there is an affine map from convS$\mathrm{conv}\!\left(S\right)$ to the k$k$‐dimensional simplex Δk$\Delta _k$ that maps q1,…qk+1$q_1,\ldots q_{k+1}$ bijectively ...
Márton Naszódi +2 more
wiley +1 more source
Tightening inequalities on volume‐extremal k$k$‐ellipsoids using asymmetry measures
Mathematika, Volume 71, Issue 4, October 2025.Abstract We consider two well‐known problems: upper bounding the volume of lower dimensional ellipsoids contained in convex bodies given their John ellipsoid, and lower bounding the volume of ellipsoids containing projections of convex bodies given their Loewner ellipsoid.
René Brandenberg, Florian Grundbacher
wiley +1 more source
Mathematika, Volume 71, Issue 4, October 2025.Abstract Let μ$\mu$ be a probability measure on R$\mathbb {R}$. We give conditions on the Fourier transform of its density for functionals of the form H(a)=∫Rnh(⟨a,x⟩)μn(dx)$H(a)=\int _{\mathbb {R}^n}h(\langle a,x\rangle)\mu ^n(dx)$ to be Schur monotone. As applications, we put certain known and new results under the same umbrella, given by a condition
Andreas Malliaris
wiley +1 more source
On Generalized Avicenna Numbers
Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13300-13316, 30 September 2025.ABSTRACT Avicenna numbers that we define in this paper, are a class of figurate numbers, including icosahedral, octahedral, tetrahedral, dodecahedral, rhombicosidodecahedral numbers and cubes, play a key role in mathematics, physics and various scientific fields.
Melih Göcen, Yüksel Soykan
wiley +1 more source
Approximation properties for discrete groups
, 2006 We give an overview of approximation properties in the context of operator algebras associated with ...
Brodzki, Jacek, Niblo, Graham A.
core
On the wildness of cambrian lattices
, 2017 In this note, we investigate the representation type of the cambrian lattices and some other related lattices. The result is expressed as a very simple trichotomy.
Chapoton, Frédéric, Rognerud, Baptiste
core
Framed cohomological Hall algebras and cohomological stable envelopes. [PDF]
Lett Math Phys, 2023 Botta TM.
europepmc +1 more source
Linear Algebra Representation of Necker Cubes II: The Routley Functor and Necker Chains
, 2009 Chris Mortensen
openalex +2 more sources
Bosonic Representation of Matrices and Angular Momentum Probabilistic Representation of Cyclic States. [PDF]
Entropy (Basel), 2023 López-Saldívar JA +3 more
europepmc +1 more source