11 citations · 15 across the 10 of their papers we have counts for
14 papers
The Berger-Wang formula for order-preserving homogeneous maps on cones
Brian Lins, Aljoša Peperko
We prove that the joint spectral radius and generalized spectral radius are equal for any bounded, equicontinuous family of order-preserving, homogeneous maps on a polyhedral cone.…
Access graph: a novel graph representation of public transport networks for accessibility analysis
Tina Šfiligoj, Aljoša Peperko, Oded Cats
Accessibility, defined as travel impedance between spatially dispersed opportunities for activity, is one of the main determinants of public transport use. In-depth understanding o…
On some Fréchet spaces associated to the functions satisfying Mulholland inequality
Lav Kumar Singh, Aljosa Peperko
In this article we explore a new growth condition on Young functions, which we call Mulholland condition, pertaining to the mathematician H.P Mulholland, who studied these function…
Results on the generalized numerical ranges in max algebra
Narges Haj Aboutalebi, Shaun Fallat, Aljosa Peperko +2
Let and be two positive integers with and an matrix with nonnegative entries. In this paper, the rank- numerical range in the max algebra sett…
Monotonicity properties for joint and generalized spectral radius and their essential versions of weighted geometric symmetrizations
Katarina Bogdanović, Aljoša Peperko
We prove new monotonicity properties for joint and generalized spectral radius and their essential versions of weighted geometric symmetrizations of bounded sets of positive kernel…
Inequalities on the essential joint and essential generalized spectral radius
B. Lins, A. Peperko
We prove new inequalities for the essential generalized and the essential joint spectral radius of Hadamard (Schur) weighted geometric means of bounded sets of infinite nonnegative…
Inequalities and equalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators
Katarina Bogdanović, Aljoša Peperko
We prove new inequalities and equalities for the generalized and the joint spectral radius (and their essential versions) of Hadamard (Schur) geometric means of bounded sets of pos…
On some aspects of spectral theory for infinite bounded non-negative matrices in max algebra
Vladimir Müller, Aljoša Peperko
Several spectral radii formulas for infinite bounded nonnegative matrices in max algebra are obtained. We also prove some Perron-Frobenius type results for such matrices. In partic…
Inequalities on the joint and generalized spectral and essential spectral radius of the Hadamard geometric mean of bounded sets of positive kernel operators
A. Peperko
Let and be bounded sets of positive kernel operators on a Banach function space . We prove several refinements of the known inequalities $$ρ\left(Ψ^{\left( \frac{1}{2} \…
Polynomial convolutions in max-plus algebra
Amnon Rosenmann, Franz Lehner, Aljosa Peperko
Recently, in a work that grew out of their exploration of interlacing polynomials, Marcus, Spielman and Srivastava and then Marcus studied certain combinatorial polynomial convolut…
Inequalities on the spectral radius, operator norm and numerical radius of Hadamard weighted geometric mean of positive kernel operators
Aljoša Peperko
Recently, several authors have proved inequalities on the spectral radius , operator norm and numerical radius of Hadamard products and ordinary products of non-nega…
Logarithmic convexity of fixed points of stochastic kernel operators
Aljoša Peperko
In this article we prove results on logaritmic convexity of fixed points of stochastic kernel operators. These results are expected to play a key role in the economic application t…
Inequalities on the spectral radius and the operator norm of Hadamard products of positive operators on sequence spaces
Roman Drnovšek, Aljoša Peperko
Relatively recently, K.M.R. Audenaert (2010), R.A. Horn and F. Zhang (2010), Z. Huang (2011), A.R. Schep (2011), A. Peperko (2012), D. Chen and Y. Zhang (2015) have proved inequali…
Semigroups of max-plus linear operators
Marjeta Kramar Fijavž, Aljoša Peperko, Eszter Sikolya
We define strongly continuous max-additive and max-plus linear operator semigroups and study their main properties. We present some important examples of such semigroups coming fro…