3 papers
math.FA2026
On the independence of axioms for measures of non-compactness
Jerzy Grzybowski, Piotr Kasprzak, Piotr Maćkowiak
We investigate the independence of the axioms in the Banaś--Goebel approach to the theory of measures of non-compactness. We present a complete answer for four of the five axioms.…
math.CO2026
Non-external Proofs of Lagrange Inversion Formula
Dominik Beck, Piotr Maćkowiak
The goal of the paper is to present two simple proofs of the Lagrange Inversion Formula for formal power series. Both proofs are non-external in the sense that they use concepts th…
physics.app-ph2024
High-yield large-scale suspended graphene membranes over closed cavities for sensor applications
Sebastian Lukas, Ardeshir Esteki, Nico Rademacher +10
Suspended membranes of monoatomic graphene exhibit great potential for applications in electronic and nanoelectromechanical devices. In this work, a "hot and dry" transfer process…