The work of professor Andrzej Lasota on asymptotic stability and recent progress

• Autorzy: Bartoszek W.
• Języki publikacji: EN

Abstrakty

EN

The paper is devoted to Professor Andrzej Lasota's contribution to the ergodic theory of stochastic operators. We have selected some of his important papers and shown their influence on the evolution of this topic. We emphasize the role A. Lasota played in promoting abstract mathematical theories by showing their applications. The article is focused exclusively on ergodic properties of discrete stochastic semigroups {Pn : n ≥ 0}. Nevertheless, almost all of Lasota's results presented here have their one-parameter continuous semigroup analogs.

Słowa kluczowe

EN

invariant measure; asymptotic stability; asymptotic periodicity; compact attractor; lower function; smoothing; cell cycle; sweeping; genericity

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 4
• Strony: 395--413
• Opis fizyczny: Bibliogr. 109 poz.

Twórcy

autor

Bartoszek W.

• Gdansk University of Technology, Department of Mathematics, ul. Narutowicza 11/12, 80 952 Gdańsk, Poland,

Bibliografia

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