activity
20092026
most citedNotes on scale-invariance and base-invariance for Benford's Law

2 citations · 4 across the 7 of their papers we have counts for

collaborators

7 papers

quant-ph2026

Security of Binary-Modulated Optical Key Distribution Against Quantum-Enhanced Coherent Eavesdropping

Karol Łukanowski, Michał Wójcik, Stefano Olivares +2

Optical key distribution (OKD) protects the physical layer of communication links by taking advantage of the inherent noise present in the photodetection process. It allows for eff…

stat.ML2022★ 1 cited

Selection of a representative sorting model in a preference disaggregation setting: a review of existing procedures, new proposals, and experimental comparison

Michał Wójcik, Miłosz Kadziński, Krzysztof Ciomek

We consider preference disaggregation in the context of multiple criteria sorting. The value function parameters and thresholds separating the classes are inferred from the Decisio…

math.GN2014

Which connected spaces have a quotient homeomorphic to an arc

Michał Ryszard Wójcik

We announce and examine the conjecture that each infinite connected normal Hausdorff space has a quotient homeomorphic to the unit interval, shown to be true with the additional as…

math.PR2013

How fast increasing powers of a continuous random variable converge to Benford's law

Michał Ryszard Wójcik

It is known that increasing powers of a continuous random variable converge in distribution to Benford's law as the exponent approaches infinity. The rate of convergence has been e…

math.PR2013★ 2 cited

Notes on scale-invariance and base-invariance for Benford's Law

Michał Ryszard Wójcik

It is known that if X is uniformly distributed modulo 1 and Y is an arbitrary random variable independent of X then Y+X is also uniformly distributed modulo 1. We prove a converse…

math.GN2009

Connected, not separably connected complete metric spaces

T. Banakh, M. Vovk, M. R. Wójcik

In a separably connected space any two points are contained in a separable connected subset. We show a mechanism that takes a connected bounded metric space and produces a complete…

math.MG2009★ 1 cited

Nonseparably connected complete metric spaces

T. Banakh, M. Vovk, M. R. Wójcik

A topological space is nonseparably connected if it is connected but all of its connected separable subspaces are singletons. We show that each connected first countable space is t…