6 citations · 15 across the 11 of their papers we have counts for
12 papers
A note on the diameter of graphs of two-dimensional simplex codes
Artur Siemaszko
Let be the graph induced in the Grassmann graph by the -ary simplex codes of dimension 2. For , this graph is known to have diameter 3. We prove that the same di…
An incremental approximation to the prime-counting function via polygonal numbers
Artur Samojluk, Artur Siemaszko
We construct an incremental prime-counting approximation from corrected right-endpoint sums on polygonal-number partitions. For each fixed polygonal family, retaining completed con…
Neumann property in the extended modular group and maximal nonparabolic subgroups of the modular group
Andrzej Matraś, Artur Siemaszko
It is know that any Neumann subgroup of the modular group is maximal non-parabolic. The question arises as to whether these are the only maximal non-parabolic subgroups. The wild c…
Selected aspects of complex, hypercomplex and fuzzy neural networks
Agnieszka Niemczynowicz, Radosław A. Kycia, Maciej Jaworski +8
This short report reviews the current state of the research and methodology on theoretical and practical aspects of Artificial Neural Networks (ANN). It was prepared to gather stat…
Hermite-Padé approximation and integrability
Adam Doliwa, Artur Siemaszko
We show that solution to the Hermite-Padé type I approximation problem leads in a natural way to a subclass of solutions of the Hirota (discrete Kadomtsev-Petviashvili) system and…
Integrability and geometry of the Wynn recurrence
Adam Doliwa, Artur Siemaszko
We show that the Wynn recurrence (the missing identity of Frobenius of the Padé approximation theory) can be incorporated into the theory of integrable systems as a reduction of th…
Elastodynamical properties of Sturmian structured media
Mario Lázaro, Agnieszka Niemczynowicz, Artur Siemaszko +1
In this paper, wave propagation in structured media with quasiperiodic patterns is investigated. We propose a methodology based on Sturmian sequences for the generation of structur…
The Cayley Graph of Neumann Subgroups
Andrzej Matraś, Artur Siemaszko
All Cayley representations of the distant graph over integers are characterized as Neumann subgroups of the extended modular group. Possible structures of Neumann subgroups a…
The Shortest Path Problem for the Distant Graph of the Projective Line Over the Ring of Integers
Andrzej Matraś, Artur Siemaszko
The distant graph of the projective line over the ring of integers is considered. The shortest path problem in this graph is solved by use of Klein…
Counting Berg partitions via Sturmian words and substitution tilings
Artur Siemaszko, Maciej P. Wojtkowski
We develop the connection of Berg partitions with special substitution tilings of two tiles. We obtain a new proof that the number of Berg partitions with a fixed connectivity matr…
Inverses, Powers and Cartesian products of topologically deterministic maps
Michael Hochman, Artur Siemaszko
We show that if (X,T) is a topological dynamical system with is deterministic in the sense of Kamiski, Siemaszko and Szymaski then T^{-1} and the product system need not be determi…
Counting Berg partitions
Artur Siemaszko, Maciej P. Wojtkowski
We call a Markov partition of a two dimensional hyperbolic toral automorphism a Berg partition if it contains just two rectangles. We describe all Berg partitions for a given hyper…