8 citations · 12 across the 10 of their papers we have counts for
10 papers
A note on the spectral distribution of non-Hermitian block matrices with Toeplitz blocks
Andrea Adriani, Giacomo Tento
In the present paper, we are concerned with the study of the spectral distribution of matrix-sequences showing a non-Hermitian block structure with Toeplitz blocks. We use the noti…
The -algebra of unbounded GLT: construction and theoretical foundations
Andrea Adriani, Alec Jacopo Almo Schiavoni-Piazza
In the present paper, we are concerned with the study of matrix-sequences arising from the discretization of PDEs and FDEs on domains with finite measure. W…
Characterizations of -Parabolicity on Graphs
Andrea Adriani, Florian Fischer, Alberto G. Setti
We study -energy functionals on infinite locally summable graphs for and show that many well-known characterizations for a parabolic space are also true in thi…
Block structured matrix-sequences and their spectral and singular value canonical distributions: a general theory
Isabella Furci, Andrea Adriani, Stefano Serra-Capizzano
In recent years more and more involved block structures appeared in the literature in the context of numerical approximations of complex infinite dimensional operators modeling rea…
Can the a.c.s. notion and the GLT theory handle approximated PDEs/FDEs with either moving or unbounded domains?
Andrea Adriani, Alec Jacopo Almo Schiavoni-Piazza, Stefano Serra-Capizzano +1
In the current note we consider matrix-sequences of increasing sizes depending on and equipped with a parameter . For every fixed , we assume that eac…
Asymptotic spectral properties and preconditioning of an approximated nonlocal Helmholtz equation with Caputo fractional Laplacian and variable coefficient wave number
Andrea Adriani, Rosita Luisa Sormani, Cristina Tablino-Possio +2
The current study investigates the asymptotic spectral properties of a finite difference approximation of nonlocal Helmholtz equations with a Caputo fractional Laplacian and a vari…
The -Liouville property on graphs
Andrea Adriani, Alberto G. Setti
In this paper we investigate the -Liouville property, underlining its connection with stochastic completeness and other structural features of the graph. We give a character…
Asymptotic spectra of large (grid) graphs with a uniform local structure (part II): numerical applications
Andrea Adriani, Davide Bianchi, Paola Ferrari +1
In the current work we are concerned with sequences of graphs having a grid geometry, with a uniform local structure in a bounded domain , . When $Ω…
Inner-Outer Curvatures, Ricci-Ollivier Curvature and Volume Growth of Graphs
Andrea Adriani, Alberto G. Setti
We are concerned with the study of different notions of curvature on graphs. We show that if a graph has stronger inner-outer curvature growth than a model graph, then it has faste…
Asymptotic spectra of large (grid) graphs with a uniform local structure
Andrea Adriani, Davide Bianchi, Stefano Serra-Capizzano
We are concerned with sequences of graphs having a grid geometry, with a uniform local structure in a bounded domain , . We assume to be Lebesgu…