From the 1 of 10 linked papers with an AI index.
10 papers
The role of expanders in the spectral geometry of metric graphs
Delio Mugnolo
The paper reviews combinatorial and spectral definitions of expanders and uses lower bounds for Ramanujan graphs to examine how geometric quantities of metric graphs affect the eig…
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…
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.)
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…
A semigroup analogue of the Fonf--Lin--Wojtaszczyk ergodic characterization of reflexive Banach spaces with a basis
Delio Mugnolo
In analogy to a recent result by V. Fonf, M. Lin, and P. Wojtaszczyk, we prove the following characterizations of a Banach space with a basis. (i) is finite-dimensional if…
Non-Markovian heat flows on directed hypergraphs
Delio Mugnolo
We introduce a semigroup framework for Laplacians on directed hypergraphs, extending the classical heat flow models on graphs and establishing hypergraphs as prototypical models fo…