Results 111 to 120 of about 105,003 (261)

Fast and Slow Mixing of the Kawasaki Dynamics on Bounded‐Degree Graphs

open access: yesRandom Structures &Algorithms, Volume 67, Issue 4, December 2025.
ABSTRACT We study the worst‐case mixing time of the global Kawasaki dynamics for the fixed‐magnetization Ising model on the class of graphs of maximum degree Δ$$ \Delta $$. Proving a conjecture of Carlson, Davies, Kolla, and Perkins, we show that below the tree‐uniqueness threshold, the Kawasaki dynamics mix rapidly for all magnetizations. Disproving a
Aiya Kuchukova   +3 more
wiley   +1 more source

Weak solutions for a singular beam equation

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 12, December 2025.
Abstract This paper deals with a dynamic Gao beam of infinite length subjected to a moving concentrated Dirac mass. Under appropriate regularity assumptions on the initial data, the problem possesses a weak solution which is obtained as the limit of a sequence of solutions of regularized problems.
Olena Atlasiuk   +2 more
wiley   +1 more source

Multiplicity results for logarithmic double phase problems via Morse theory

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4178-4201, December 2025.
Abstract In this paper, we study elliptic equations of the form −divL(u)=f(x,u)inΩ,u=0on∂Ω,$$\begin{align*} -\operatorname{div}\mathcal {L}(u)=f(x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial \Omega, \end{align*}$$where divL$\operatorname{div}\mathcal {L}$ is the logarithmic double phase operator given by div|∇u|p−2∇u+μ(x)|∇u|q(e+|∇u ...
Vicenţiu D. Rădulescu   +2 more
wiley   +1 more source

A fractal local smoothing problem for the wave equation

open access: yesBulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3667-3690, December 2025.
Abstract For any given set E⊂[1,2]$E\subset [1,2]$, we discuss a fractal frequency‐localized version of the Lp$L^p$ local smoothing estimates for the half‐wave propagator with times in E$E$. A conjecture is formulated in terms of a quantity involving the Assouad spectrum of E$E$ and the Legendre transform.
David Beltran   +3 more
wiley   +1 more source

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