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20022021
most citedSchroedinger Eigenmaps for the Analysis of Bio-Medical Data

71 citations · 351 across the 26 of their papers we have counts for

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5 papers · 1 filter

astro-ph2004★ 2 cited

Transition redshift from the V-reconstruction method

Wojciech Czaja, Marek Szydlowski, Adam Krawiec

We show the effectiveness of using the procedure of the potential reconstruction (the V-method) in the estimation of the transition redshift corresponding to switch from decelerati…

astro-ph2004★ 5 cited

Modified Friedmann Cosmologies - theory & observations

Marek Szydlowski, Wojciech Czaja

We investigate a class of Cardassian scenarios of the universe evolution in notions of the qualitative theory of dynamical systems. This theory allows us to analyze all solutions f…

astro-ph2004★ 26 cited

Phantom cosmology as a simple model with dynamical complexity

Marek Szydlowski, Adam Krawiec, Wojciech Czaja

We study the Friedmann-Robertson-Walker model with phantom fields modelled in terms of scalar fields. We apply the Ziglin theory of integrability and find that the flat model is no…

astro-ph2003★ 33 cited

Toward reconstruction of dynamics of the Universe from distant supernovae type Ia

Marek Szydlowski, Wojciech Czaja

We demonstrate a model-independent method of estimating qualitative dynamics of an accelerating universe from observations of distant type Ia supernovae. Our method is based on the…

astro-ph2003★ 39 cited

Stability of FRW Cosmology with Generalized Chaplygin Gas

Marek Szydlowski, Wojciech Czaja

We apply methods of dynamical systems to study the behaviour of universe dominated by the generalized Chaplygin gas. We reduce the dynamics to a 2-dimensional Hamiltonian system an…