Results 181 to 190 of about 4,250 (281)

Dimer models and conformal structures

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala   +3 more
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

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