Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Siemaszko, Artur"'
Autor:
Doliwa, Adam, Siemaszko, Artur
We define quantization scheme for discrete-time random walks on the half-line consistent with Szegedy's quantization of finite Markov chains. Motivated by the Karlin and McGregor description of discrete-time random walks in terms of polynomials ortho
Externí odkaz:
http://arxiv.org/abs/2306.12265
Autor:
Matraś, Andrzej, Siemaszko, Artur
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 class of maximal, non-parabolic, not Neumann subgroups of the modular g
Externí odkaz:
http://arxiv.org/abs/2304.10795
Autor:
Niemczynowicz, Agnieszka, Kycia, Radosław A., Jaworski, Maciej, Siemaszko, Artur, Calabuig, Jose M., García-Raffi, Lluis M., Schneider, Baruch, Berseghyan, Diana, Perfiljeva, Irina, Novak, Vilem, Artiemjew, Piotr
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 state-of-the-art knowledge needed to construct complex, hypercomplex and f
Externí odkaz:
http://arxiv.org/abs/2301.00007
Autor:
Doliwa, Adam, Siemaszko, Artur
Publikováno v:
J. Approx. Theory 292 (2023) 105910 (23 pp.)
We show that solution to the Hermite-Pad\'{e} type I approximation problem leads in a natural way to a subclass of solutions of the Hirota (discrete Kadomtsev-Petviashvili) system and of its adjoint linear problem. Our result explains the appearence
Externí odkaz:
http://arxiv.org/abs/2201.06829
Autor:
Doliwa, Adam, Siemaszko, Artur
Publikováno v:
Numer. Algorithms 92 (2023) 571-596
We show that the Wynn recurrence (the missing identity of Frobenius of the Pad\'{e} approximation theory) can be incorporated into the theory of integrable systems as a reduction of the discrete Schwarzian Kadomtsev-Petviashvili equation. This allows
Externí odkaz:
http://arxiv.org/abs/2201.01749
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 structured mechanical systems from a given parameter. The approach is presente
Externí odkaz:
http://arxiv.org/abs/2105.02548
Autor:
Matraś, Andrzej, Siemaszko, Artur
All Cayley representations of the distant graph $\Gamma _Z$ over integers are characterized as Neumann subgroups of the extended modular group. Possible structures of Neumann subgroups are revealed and it is shown that every such a structure can be r
Externí odkaz:
http://arxiv.org/abs/2010.09000
Autor:
Doliwa, Adam, Siemaszko, Artur
Publikováno v:
In Journal of Approximation Theory August 2023 292
Autor:
Matraś, Andrzej, Siemaszko, Artur
The distant graph $G = G(\mathbb{P}(Z),\triangle)$ of the projective line over the ring of integers is considered. The shortest path problem in this graph is solved by use of Klein's geometric interpretation of Euclidean continued fractions. In case
Externí odkaz:
http://arxiv.org/abs/1502.06238
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 matrix is equal to half of the sum of its entries, \cite{S-W}. This approa
Externí odkaz:
http://arxiv.org/abs/1212.1395