Universality of the Microcanonical Entropy at Large Spin. [PDF]
Pal S, Qiao J, van Rees BC.
europepmc +1 more source
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
Optimal Runge approximation for nonlocal wave equations and unique determination of polyhomogeneous nonlinearities. [PDF]
Lin YH, Tyni T, Zimmermann P.
europepmc +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Mathematical model of optimal control for endometrial cancer with treatments dostarlimab and chemotherapy using Caputo derivative. [PDF]
Ramalakshmi K, Samei ME.
europepmc +1 more source
A priori bounds for the generalised parabolic Anderson model
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra +2 more
wiley +1 more source
General Perturbation Resilient Dynamic String-Averaging for Inconsistent Problems with Superiorization. [PDF]
Barshad K, Censor Y.
europepmc +1 more source
An Enhanced Darbo-Type Fixed Point Theorems and Application to Integral Equations
Suhas Talekar +3 more
openalex +2 more sources
Fourier Mass Lower Bounds for Batchelor‐Regime Passive Scalars
ABSTRACT Batchelor predicted that a passive scalar ψν$\psi ^\nu$ with diffusivity ν$\nu$, advected by a smooth fluid velocity, should typically have Fourier mass distributed as |ψ̂ν|2(k)≈|k|−d$|\widehat{\psi }^\nu |^2(k) \approx |k|^{-d}$ for |k|≪ν−1/2$|k| \ll \nu ^{-1/2}$.
William Cooperman, Keefer Rowan
wiley +1 more source
A positivity conjecture for a quotient of <i>q</i>-binomial coefficients. [PDF]
Gatzweiler M, Krattenthaler C.
europepmc +1 more source

