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Finiteness of the Hölder–Brascamp–Lieb constant revisited

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract Abstract Hölder–Brascamp–Lieb inequalities have become a ubiquitous tool in Fourier analysis in recent years, due in large part to a theorem of Bennett et al. characterizing finiteness of the Hölder–Brascamp–Lieb constant. Here we provide a new characterization of a substantially different nature involving directed graphs of subspaces.
Philip T. Gressman
wiley +1 more source

Self‐improving property for certain degenerate functionals with generalized Orlicz growth

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract We investigate a self‐improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropriate Muckenhoupt class and the growth function satisfies standard structural conditions, we prove that the gradient of any local quasi‐minimizer has local higher ...
Vertti Hietanen, Mikyoung Lee
wiley +1 more source

On the deterministic interior body of random polytopes

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract Let {Xi}i=1∞$\lbrace X_i\rbrace _{i=1}^{\infty }$ be a sequence of independent copies of a random vector X$X$ in Rn$\mathbb {R}^n$. We revisit the question to determine the asymptotic shape of the random polytope KN=conv{X1,…,XN}$K_N={\rm conv}\lbrace X_1,\ldots,X_N\rbrace$ where N>n$N>n$.
Minas Pafis, Natalia Tziotziou
wiley +1 more source

Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]

Commun Math Phys
Oh T, Tolomeo L, Wang Y, Zheng G.
europepmc +1 more source

Varifold solutions to volume-preserving mean curvature flow: existence and weak-strong uniqueness. [PDF]

Math Ann
Poiatti A.
europepmc +1 more source

On De Giorgi's conjecture of nonlocal approximations for free-discontinuity problems: The symmetric gradient case. [PDF]

Calc Var Partial Differ Equ
Almi S, Davoli E, Kubin A, Tasso E.
europepmc +1 more source

Arrow of Time in Quantum Mechanics and Set Theory. [PDF]

Entropy (Basel)
Król J.
europepmc +1 more source

Rare Events Statistics for Z d Map Lattices Coupled by Collision. [PDF]

Commun Math Phys
Bahsoun W, Phalempin M.
europepmc +1 more source

High-Contrast Random Composites: Homogenisation Framework and Spectral Convergence. [PDF]