71 citations
- Jagiellonian UniversityPL25 papers
- University of PaviaIT3 papers
- Institute of MathematicsPL2 papers
- Maria Curie-Skłodowska UniversityPL2 papers
- Institute of PhysicsPL1 paper
- Istituto Nazionale di Fisica Nucleare, Sezione di Milano BicoccaIT1 paper
- Istituto Nazionale di Fisica Nucleare, Sezione di Roma IIT1 paper
- Lublin University of TechnologyPL1 paper
- National Centre for Nuclear ResearchPL1 paper
- Sapienza University of RomeIT1 paper
- Southwest UniversityCN1 paper
- Sun Yat-sen UniversityCN1 paper
35 papers
Fractal Patterns in Discrete Laplacians: Iterative Construction on 2D Square Lattices
Małgorzata Nowak-Kępczyk
We investigate the iterative construction of discrete Laplacians on 2D square lattices, revealing emergent fractal-like patterns shaped by modular arithmetic. While classical 2222-…
The laws of nature and the problems of modern cosmology
Yves Gaspar, Pawel Tambor
The notion that nature is subject to laws is exciting from many different viewpoints. This paper is based on the context of modern cosmology and presents a more philosophical discu…
Schwarzian derivative, Painlevé XXV-Ermakov equation and Bäcklund transformations
Sandra Carillo, Alexander Chichurin, Galina Filipuk +1
The role of Schwarzian derivative in the study of nonlinear ordinary differential equations is revisited. Solutions and invariances admitted by Painlevé XXV-Ermakov equation, Ermak…
Neyman-Pearson Hypothesis Testing, Epistemic Reliability and Pragmatic Value-Laden Asymmetric Error Risks
Adam P. Kubiak, Pawel Kawalec, Adam Kiersztyn
Neyman and Pearson's theory of testing hypotheses does not warrant minimal epistemic reliability: the feature of driving to true conclusions more often than to false ones. The theo…
Schrödinger's Ballot: Quantum Information and the Violation of Arrow's Impossibility Theorem
Xin Sun, Feifei He, Piotr Kulicki +1
In this paper we study Arrow's Impossibility Theorem in the quantum setting. Our work is based on the work of Bao and Halpern, in which it is proved that the quantum analogue of Ar…
Bit Commitment for Lottery and Auction on Quantum Blockchain
Xin Sun, Piotr Kulicki, Mirek Sopek
This paper propose a protocol for lottery and a protocol for auction on quantum Blockchain. Our protocol of lottery satisfies randomness, unpredictability, unforgeability, verifiab…