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math.SP2024
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs
Bobo Hua, Ruowei Li
We introduce the discrete poly-Laplace operator on a subgraph with Dirichlet boundary condition. We obtain upper and lower bounds for the sum of the first Dirichlet eigenvalues…
math.DS2024
The convergence and uniqueness of a discrete-time nonlinear Markov chain
Ruowei Li, Florentin Münch
In this paper, we prove the convergence and uniqueness of a general discrete-time nonlinear Markov chain with specific conditions. The results have important applications in discre…