Results 141 to 150 of about 48,981 (245)

Well‐Posedness and Pattern Formation in a Two‐Species Reaction–Diffusion System with Nonlocal Perception

Studies in Applied Mathematics, Volume 156, Issue 2, February 2026.
ABSTRACT Nonlocal perceptual cues, such as visual, auditory, and olfactory signals, profoundly influence animal movement and the emergence of ecological patterns. To capture these effects, we introduce a two‐species reaction–diffusion system with mutual nonlocal perception on a two‐dimensional periodic domain.
Yaqi Chen, Ben Niu, Hao Wang
wiley   +1 more source

Lipschitz-based robustness estimation for hyperdimensional learning. [PDF]

Front Artif Intell
Yeung C, Errahmouni Barkam H, Zou Z, Yun S, Bastian ND, Imani M.   +5 more
europepmc   +1 more source

Fourier Coefficients and Generalized Lipschitz Classes

, 2008
In this paper we give some equivalence relations between behavior of Fourier coefficients of a special kind and smoothness of functions. A necessary and sufficient condition for existence of Schwartz derivative is also obtained.
openaire   +1 more source

Stability of reverse isoperimetric inequalities in the plane: Area, Cheeger, and inradius

Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract In this paper, we present stability results for various reverse isoperimetric problems in R2$\mathbb {R}^2$. Specifically, we prove the stability of the reverse isoperimetric inequality for λ$\lambda$‐convex bodies — convex bodies with the property that each of their boundary points p$p$ supports a ball of radius 1/λ$1/\lambda$ so that the ...
Kostiantyn Drach, Kateryna Tatarko
wiley   +1 more source

Isometric representations in neural networks improve robustness. [PDF]

Sci Rep
Beshkov K, Verhellen J, Lepperød ME.
europepmc   +1 more source

Pólya's conjecture for Dirichlet eigenvalues of annuli

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We prove Pólya's conjecture for the eigenvalues of the Dirichlet Laplacian on annular domains. Our approach builds upon and extends the methods we previously developed for disks and balls. It combines variational bounds, estimates of Bessel phase functions, refined lattice point counting techniques and a rigorous computer‐assisted analysis. As
Nikolay Filonov, Michael Levitin, Iosif Polterovich, David A. Sher   +3 more
wiley   +1 more source

Bounded Variation Separates Weak and Strong Average Lipschitz. [PDF]

Entropy (Basel)
Elperin A, Kontorovich A.
europepmc   +1 more source

Sobolev and quasiconformal distortion of intermediate dimension with applications to conformal dimension

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
wiley   +1 more source

Calderón problem for nonlocal viscous wave equations: Unique determination of linear and nonlinear perturbations. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat
Zimmermann P.
europepmc   +1 more source

A note on Lipschitz classes

Mathematische Zeitschrift, 1976
openaire   +1 more source