In many studies, it is common to use binary (ie, unweighted) edges to examine networks of
entities that are either adjacent or not adjacent. Researchers have generalized such binary …

We present a unifying Perron--Frobenius theory for nonlinear spectral problems defined in
terms of nonnegative tensors. By using the concept of tensor shape partition, our results …

We develop a theory of eventually positive C 0-semigroups on Banach lattices, that is, of
semigroups for which, for every positive initial value, the solution of the corresponding …

In this PhD thesis, strongly continuous operator semigroups are studied. We show that
contractivity or positivity of such a semigroup can have a profound impact on its long time …

One of the most relevant tasks in network analysis is the detection of community structures,
or clustering. Most popular techniques for community detection are based on the …

This article is a contribution to the spectral theory of so-called eventually positive operators,
ie operators T which may not be positive but whose powers T n become positive for large …

Power nonnegative matrices are defined as complex matrices having at least one
nonnegative integer power. We exploit the possibility of deriving a Perron–Frobenius-like …

The motion of solid objects or even fluids can be described using mathematics. Wind
movements, turbulence in the oceans, migration of birds, pandemic of diseases and all other …

This paper is a continuation of our previous work [Front. Math. China, 2016, 11 (6): 1379–
1418] where an efficient algorithm for computing the maximal eigenpair was introduced first …

A lo largo de los últimos 100 años el teorema de Perron-Frobenius ha demostrado cómo un
resultado esencialmente teórico puede tener potentes aplicaciones a muy diferentes …