expanders 1geometric invariants 1laplacian eigenvalues 1metric graphs 1ramanujan graphs 1spectral geometry 1
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math.AP2026
Ornstein--Uhlenbeck semigroup on rooted trees
Sahiba Arora, Marjeta Kramar Fijavž, Delio Mugnolo +1
We study Ornstein--Uhlenbeck operators on rooted metric trees equipped with a Gaussian-type measure. Using form methods, we construct Dirichlet and Neumann realisations correspondi…
math.AP2025★ 17 cited
Semigroups For Initial-Boundary Value Problems
Marjeta Kramar, Delio Mugnolo, Rainer Nagel
We review the theory of one-sided coupled operator matrices with a focus on evolution equations with inhomogeneous boundary conditions. (The original article had no abstract.)
math.AP2025
Theory And Applications Of One-Sided Coupled Operator Matrices
Marjeta Kramar, Delio Mugnolo, Rainer Nagel
The theory of one-sided coupled operator matrices, recently introduced by K.-J. Engel, is an abstract framework for concrete initial value problems and allows complete information…