6 citations · 10 across the 10 of their papers we have counts for
11 papers
On the heat content of compact quantum graphs
Patrizio Bifulco, Delio Mugnolo
We study the heat content for Laplacians on compact, finite metric graphs with Dirichlet conditions imposed at the "boundary" (i.e., a given set of vertices). We prove a closed for…
Faber-Krahn inequality for the heat content on quantum graphs via random walk expansion
Patrizio Bifulco, Matthias Täufer
We study the heat content on quantum graphs and investigate whether an analogon of the Rayleigh-Faber-Krahn inequality holds. This means that heat content at time among graphs…
Spectral comparison results for Laplacians on discrete graphs
Patrizio Bifulco, Joachim Kerner, Christian Rose
In the recent literature, various authors have studied spectral comparison results for Schrödinger operators with discrete spectrum in different settings including Euclidean domain…
A modified local Weyl law and spectral comparison results for -coupling conditions
Patrizio Bifulco, Joachim Kerner
We study Schrödinger operators on compact finite metric graphs subject to -coupling conditions. Based on a novel modified local Weyl law, we derive an explicit expression for t…
On the -torsional rigidity of combinatorial graphs
Patrizio Bifulco, Delio Mugnolo
We study the -\emph{torsion function} and the corresponding -\emph{torsional rigidity} associated with -Laplacians and, more generally, -Schrödinger operators, for $1<p…
Some spectral comparison results on infinite quantum graphs
Patrizio Bifulco, Joachim Kerner
In this paper we establish spectral comparison results for Schrödinger operators on a certain class of infinite quantum graphs, using recent results obtained in the finite setting.…
A note on Ambarzumian's theorem for quantum graphs
Patrizio Bifulco, Joachim Kerner
Based on the main result presented in a recent paper, we derive Ambarzumian-type theorems for Schrödinger operators defined on quantum graphs. We recover existing results such as t…
On the Lipschitz continuity of the heat kernel
Patrizio Bifulco, Delio Mugnolo
We study integral kernels of strongly continuous semigroups on Lebesgue spaces over metric measure spaces. Based on semigroup smoothing properties and abstract Morrey-type inequali…
On the surface area of graphs, related connectivity measures and spectral estimates
Patrizio Bifulco, Joachim Kerner
In this note we elaborate on some notions of surface area for discrete graphs which are closely related to the inverse degree. These notions then naturally lead to associated conne…
Comparing the spectrum of Schrödinger operators on quantum graphs
Patrizio Bifulco, Joachim Kerner
We study Schrödinger operators on compact finite metric graphs subject to -coupling and standard boundary conditions. We compare the -th eigenvalues of those self-adjoint rea…
Single and Attractive: Uniqueness and Stability of Economic Equilibria under Monotonicity Assumptions
Patrizio Bifulco, Jochen Glück, Oliver Krebs +1
This paper characterizes equilibrium properties of a broad class of economic models that allow multiple heterogeneous agents to interact in heterogeneous manners across several mar…