Results 141 to 150 of about 116,139 (242)

Unitarily invariant valuations on convex functions

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Continuous, dually epi‐translation invariant valuations on the space of finite‐valued convex functions on Cn$\mathbb {C}^n$ that are invariant under the unitary group are investigated. It is shown that elements belonging to the dense subspace of smooth valuations admit a unique integral representation in terms of two families of Monge–Ampère ...
Jonas Knoerr
wiley   +1 more source

Universal gap growth for Lyapunov exponents of perturbed matrix products

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We study the quantitative simplicity of the Lyapunov spectrum of d$d$‐dimensional bounded matrix cocycles subjected to additive random perturbations. In dimensions 2 and 3, we establish explicit lower bounds on the gaps between consecutive Lyapunov exponents of the perturbed cocycle, depending only on the scale of the perturbation.
Jason Atnip, Gary Froyland, Cecilia González‐Tokman, Anthony Quas   +3 more
wiley   +1 more source

Traces of Hecke operators on Drinfeld modular forms for GL2(Fq[T])$\operatorname{GL}_2(\mathbb {F}_q[T])$

Mathematika, Volume 72, Issue 2, April 2026.
Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley   +1 more source

Variants of a theorem of Macbeath in finite‐dimensional normed spaces

Mathematika, Volume 72, Issue 2, April 2026.
Abstract A classical theorem of Macbeath states that for any integers d⩾2$d \geqslant 2$, n⩾d+1$n \geqslant d+1$, d$d$‐dimensional Euclidean balls are hardest to approximate, in terms of volume difference, by inscribed convex polytopes with n$n$ vertices.
Zsolt Lángi, Shanshan Wang
wiley   +1 more source

An infinite dimensional Saddle Point Theorem and application. [PDF]

Bound Value Probl
Colin F, Songo A.
europepmc   +1 more source

Counting problems for orthogonal sets and sublattices in function fields

Mathematika, Volume 72, Issue 2, April 2026.
Abstract Let K=Fq((x−1))$\mathcal {K}=\mathbb {F}_q((x^{-1}))$. Analogous to orthogonality in the Euclidean space Rn$\mathbb {R}^n$, there exists a well‐studied notion of ultrametric orthogonality in Kn$\mathcal {K}^n$. In this paper, we extend the work of [4] on counting problems related to orthogonality in Kn$\mathcal {K}^n$.
Noy Soffer Aranov, Angelot Behajaina
wiley   +1 more source

Improving Conformational Ensembles of Folded Proteins in Go̅Martini. [PDF]

J Chem Theory Comput
Kalutskii M, Wilson CJ, Grubmüller H, Igaev M.   +3 more
europepmc   +1 more source

A note on the Steinitz lemma

Mathematika, Volume 72, Issue 2, April 2026.
Abstract We establish the connection between the Steinitz problem for ordering vector families in arbitrary norms and its variant for not necessarily zero‐sum families consisting of “nearly unit” vectors.
Gergely Ambrus, Rainie Heck
wiley   +1 more source

Enhancing Neuromorphic Robustness via Recurrence Resonance: The Role of Shared Weak Attractors in Quantum Logic Networks. [PDF]

Biomimetics (Basel)
Huang Y, Gunji YP.
europepmc   +1 more source

Facial topologies for subspaces ofC(X)

Mathematische Annalen, 1974
openaire   +2 more sources