Zobrazeno 1 - 10
of 918
pro vyhledávání: '"39a12"'
Autor:
Bui, The Anh, Duong, Xuan Thinh
Consider the discrete Laplacian $\Delta_d$ defined on the set of integers $\mathbb Z$ by \[ \Delta_d f(n) = -f(n+1) + 2f(n) -f(n-1), \ \ \ \ n\in \mathbb Z, \] where $f$ is a function defined on $\mathbb Z$. In this paper, we define Hardy spaces, Bes
Externí odkaz:
http://arxiv.org/abs/2411.19399
This paper is devoted to the investigation of the spectral theory and dynamical properties of periodic graphs which are not locally finite but carry non-negative, symmetric and summable edge weights. These graphs are shown to exhibit rather intriguin
Externí odkaz:
http://arxiv.org/abs/2411.14965
Let $K_n=(V,E)$ be the complete graph with $n\geq 3$ vertices (here $V$ and $E$ denote the set of vertices and edges of $K_n$ respectively). We find the optimal value ${\bf{C}}_{n,p}$ such that the inequality $$\|f-m_f\|_p\le {\bf C}_{n,p}{\rm Var}_{
Externí odkaz:
http://arxiv.org/abs/2411.12079
We prove endpoint and sparse-like bounds for Bergman projectors on nonhomogeneous, radial trees $X$ that model manifolds with possibly unbounded geometry. The natural Bergman measures on $X$ may fail to be doubling, and even locally doubling, with re
Externí odkaz:
http://arxiv.org/abs/2410.23047
In this paper, we finish the basic development of the discrete octonionic analysis by presenting a Weyl calculus-based approach to bounded domains in $\mathbb{R}^{8}$. In particular, we explicitly prove the discrete Stokes formula for a bounded cuboi
Externí odkaz:
http://arxiv.org/abs/2409.04285
In this note we study Landis conjecture for positive Schr\"odinger operators on graphs. More precisely, we give a decay criterion that ensures when $ \mathcal{H} $-harmonic functions for a positive Schr\"odinger operator $ \mathcal{H} $ with potentia
Externí odkaz:
http://arxiv.org/abs/2408.02149
We study Hardy inequalities for $p$-Schr\"odinger operators on general weighted graphs. Specifically, we prove a Maz'ya-type result, where we characterize the space of Hardy weights for $ p $-Schr\"odinger operators via a generalized capacity. The no
Externí odkaz:
http://arxiv.org/abs/2407.02116
Autor:
Boxonov, Z. S.
In this paper, we investigate the dynamical behavior of a two-dimensional discrete mosquito model incorporating an Allee effect. We analyze the system's trajectory comprehensively, examining both local and global dynamics. Our analysis begins by esta
Externí odkaz:
http://arxiv.org/abs/2407.01969
In this paper, we introduce Cheeger type constants via isocapacitary constants introduced by Maz'ya to estimate first Dirichlet, Neumann and Steklov eigenvalues on a finite subgraph of a graph. Moreover, we estimate the bottom of the spectrum of the
Externí odkaz:
http://arxiv.org/abs/2406.12583
Autor:
Ku, Sean
We study the essential self-adjointness of semi-bounded Schr\"{o}dinger operators on birth-death chains. First, we offer a general characterization which originates from studying a second order linear recurrence with variational coefficients which co
Externí odkaz:
http://arxiv.org/abs/2405.19364