19 citations · 45 across the 8 of their papers we have counts for
8 papers
Counting-Based Effective Dimension and Discrete Regularizations
Ivan Horváth, Peter Markoš, Robert Mendris
Fractal-like structures of varying complexity are common in nature, and measure-based dimensions (Minkowski, Hausdorff) supply their basic geometric characterization. However, at t…
A Different Angle on Quantum Uncertainty (Measure Angle)
Ivan Horváth, Robert Mendris
The uncertainty associated with probing the quantum state is expressed as the effective abundance (measure) of possibilities for its collapse. New kinds of uncertainty limits entai…
Effective Number Theory: Counting the Identities of a Quantum State
Ivan Horváth, Robert Mendris
Quantum physics frequently involves a need to count the states, subspaces, measurement outcomes, and other elements of quantum dynamics. However, with quantum mechanics assigning p…
Parametric Summability and Its Applications
Jinlu Li, Robert Mendris
In this paper we study summability based on double sequences of complex constants as it is defined in "Linear Operators, General Theory" by N. Dunford and J. T. Schwartz. We define…
Summability of Sequence of Random Variables
Jinlu Li, Robert Mendris
In this paper, we study the summability properties of double sequences of real constants which map sequences of random variables to sequences of random variables that are defined o…
The link of {f(x,y)+z^n=0} and Zariski's Conjecture
Robert Mendris, Andras Nemethi
We consider suspension hypersurface singularities of type g=f(x,y)+z^n, where f is an irreducible plane curve singularity. For such germs, we prove that the link of g determines co…