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- Polish Academy of SciencesPL934 papers
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2,291 papers
Visitation measures for non-linear iterations with random perturbations
Andrey A. Dorogovtsev, Iryna Nishchenko
A sequence of non-linear iterations with non-identically distributed random perturbations is studied. The asymptotic behaviour of the sequence is described via its visitations meas…
A law of thin processes with neighbour-count thinning
Kateryna Hlyniana
We consider the superposition of i.i.d. simple point processes on and apply a dependent thinning , where the retention probability of a point depends…
Bisimulations and Modal Logics for Higher Dimensional Automata
Safa Zouari, Rob van Glabbeek, Krzysztof Ziemiański
Higher-Dimensional Automata (HDAs) provide a geometric model of true concurrency. While hereditary history-preserving (hhp) bisimilarity is the finest behavioural equivalence in va…
Perfect powers in sequences of polygonal numbers
Andrzej Dąbrowski, Salah Eddine Rihane, Gökhan Soydan +1
Let denote the -th -gonal number. Consider the Diophantine equation for integers and . All solutions to this equation are known f…
On the pertubations of E-depth, Ef-depth and sequentially Cohen-Macaulay locus
Doan Trung Cuong, Le Thanh Nhan, Nguyen Xuan Linh
Let (R,m) be a Noetherian local ring, I an ideal of R and M a finitely generated R-module. In this paper, we define and study E-depth and Ef-depth of M in I. We prove that E-depth…
Mathematical Analysis of Image Matching Techniques
Oleh Samoilenko
Image matching is a fundamental problem in Computer Vision with direct applications in robotics, remote sensing, and geospatial data analysis. We present an analytical and experime…