Results 111 to 120 of about 130,906 (271)

Local equivalence and refinements of Rasmussen's s‐invariant

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield   +2 more
wiley   +1 more source

The ∞$\infty$‐categorical reflection theorem and applications

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
Abstract We prove an ∞$\infty$‐categorical version of the reflection theorem of AdÁmek and Rosický [Arch. Math. 25 (1989), no. 1, 89–94]. Namely, that a full subcategory of a presentable ∞$\infty$‐category that is closed under limits and κ$\kappa$‐filtered colimits is a presentable ∞$\infty$‐category.
Shaul Ragimov, Tomer M. Schlank
wiley   +1 more source

Sharp commutator estimates of all order for Coulomb and Riesz modulated energies

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley   +1 more source

On the Q‐Polynomial Property of Bipartite Graphs Admitting a Uniform Structure

open access: yesJournal of Combinatorial Designs, Volume 34, Issue 2, Page 69-86, February 2026.
ABSTRACT Let Γ denote a finite, connected graph with vertex set X. Fix x ∈ X and let ε ≥ 3 denote the eccentricity of x. For mutually distinct scalars { θ i * } i = 0 ε define a diagonal matrix A * = A * ( θ 0 * , θ 1 * , … , θ ε * ) ∈ Mat X ( R ) as follows: for y ∈ X we let ( A * ) y y = θ ∂ ( x , y ) *, where ∂ denotes the shortest path length ...
Blas Fernández   +3 more
wiley   +1 more source

How Far Are Two Symmetric Matrices From Commuting? With an Application to Object Characterisation and Identification in Metal Detection

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1914-1942, February 2026.
ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger   +2 more
wiley   +1 more source

Observations on Abelian sandpile models for directed graphs

open access: yesElectronic Research Archive
We relate various characterizations of sandpile dynamics arising in the literature referred to as 'Abelian sandpile models', and we rigorously establish the sense in which they are commutative and associative as algebraic structures.
Amena Assem   +2 more
doaj   +1 more source

Bidiagonal Decompositions and Accurate Computations for the Ballot Table and the Fibonacci Matrix

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT Riordan arrays include many important examples of matrices. Here we consider the ballot table and the Fibonacci matrix. For finite truncations of these Riordan arrays, we obtain bidiagonal decompositions. Using them, algorithms to solve key linear algebra problems for ballot tables and Fibonacci matrices with high relative accuracy are derived.
Jorge Ballarín   +2 more
wiley   +1 more source

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