Search Results - "Morayne, Michał"

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  1. 1

    Secretary problem with hidden information; searching for a high merit candidate by Kubicka, Ewa M., Kubicki, Grzegorz, Kuchta, Małgorzata, Morayne, Michał

    Published in Advances in applied mathematics (01-03-2023)
    “…Real numbers from the interval [0,1] are randomly selected with uniform distribution. There are n of them and they measure shortcomings of the candidates from…”
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  2. 2

    The Baire theorem, an analogue of the Banach fixed point theorem and attractors in T1 compact spaces by Morayne, Michał, Rałowski, Robert

    Published in Bulletin des sciences mathématiques (01-03-2023)
    “…We prove that if X is a T1 second countable compact space, then X is a Baire space if and only if every nonempty open subset of X contains a closed subset with…”
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  3. 3

    A fiberable continuum which is not nontrivially productable by Cichoń, Jacek, Morayne, Michał, Rałowski, Robert

    Published in Topology and its applications (01-12-2021)
    “…We construct a continuum X⊆R3 such that there exists a continuous surjection f from X onto X with the inverse image of every point being of the same size as…”
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  4. 4

    A fiberable continuum which is not nontrivially productable II by Cichoń, Jacek, Morayne, Michał, Rałowski, Robert

    Published in Topology and its applications (01-10-2021)
    “…We construct a metric continuum X such that there exists a continuous surjection F from X onto X with the inverse image of every point of size of the continuum…”
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  5. 5

    Tail probabilities of a random walk on an interval by Kubicka, Ewa M., Kubicki, Grzegorz, Kuchta, Małgorzata, Morayne, Michał

    “…If a random walk starts at the center of a symmetric discrete interval and we condition on being in I until a given time t, then for any fixed , the…”
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  6. 6

    Maximizing survival time in a random walk on an interval by Kubicka, Ewa M., Kubicki, Grzegorz, Kuchta, Małgorzata, Morayne, Michał

    Published in Stochastic models (03-04-2018)
    “…A gambler buys N tokens that enable him to play N rounds of the following game. A symmetric random walk on a discrete interval { − r, ..., r} starts from the…”
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  7. 7

    Monotone Case for an Extended Process by Kuchta, Małgorzata, Morayne, Michał

    Published in Advances in applied probability (01-12-2014)
    “…We consider a nonnegative discrete time and bounded horizon process X for which 0 is an absorbing state and extend it by a random variable that is independent…”
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  8. 8

    A Secretary Problem with Many Lives by Kuchta, Małgorzata, Morayne, Michał

    “…We consider a secretary type problem where an administrator who has only one on-line choice in m consecutive searches has to choose the best candidate in one…”
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  9. 9

    Topologically invariant σ-ideals on the Hilbert cube by Banakh, Taras, Morayne, Michał, Rałowski, Robert, Żeberski, Szymon

    Published in Israel journal of mathematics (01-09-2015)
    “…We study and classify topologically invariant σ -ideals with Borel base on the Hilbert cube and evaluate their cardinal characteristics. One of the results of…”
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  10. 10

    Monotone Case for an Extended Process by Kuchta, Małgorzata, Morayne, Michał

    Published in Advances in applied probability (01-12-2014)
    “…We consider a nonnegative discrete time and bounded horizon process X for which 0 is an absorbing state and extend it by a random variable that is independent…”
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    Journal Article
  11. 11

    Measure preserving homeomorphism of the Hilbert cube embedding the pseudo-boundary into the pseudo-interior by Morayne, Michał, Pietroń, Maciej

    Published in Bulletin des sciences mathématiques (01-10-2014)
    “…We prove that the pseudo-boundary B(Q) of the Hilbert cube Q can be embedded into the pseudo-interior s of Q by a homeomorphism of Q that preserves the product…”
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  12. 12

    On a universal best choice algorithm for partially ordered sets by Georgiou, Nicholas, Kuchta, Małgorzata, Morayne, Michał, Niemiec, Jarosław

    Published in Random structures & algorithms (01-05-2008)
    “…For the only known universal best choice algorithm for partially ordered sets with known cardinality and unknown order (proposed by J. Preater) we improve the…”
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  13. 13

    A Note on Counting Homomorphisms of Paths by Eggleton, Roger B., Morayne, Michał

    Published in Graphs and combinatorics (2014)
    “…We obtain two identities and an explicit formula for the number of homomorphisms of a finite path into a finite path. For the number of endomorphisms of a…”
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  14. 14

    Generating Borel measurable mappings with continuous mappings by Bielas, Wojciech, Miller, Arnold W., Morayne, Michał, Słonka, Tomasz

    Published in Topology and its applications (01-08-2013)
    “…We prove that the relative rank r(B(X):C(X)) of the semigroup of Borel mappings B(X) from X to X (with the composition of mappings as the semigroup operation)…”
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  15. 15

    Fixed point theorems for topological contractions and the Hutchinson operator by Morayne, Michał, Rałowski, Robert

    Published 04-08-2023
    “…For a topological space $X$ a topological contraction on $X$ is a closed mapping $f:X\to X$ such that for every open cover of $X$ there is a positive integer…”
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  16. 16

    A note on Hutchinson operator in $\mathbf{T_1}$ compact topological spaces by Morayne, Michał, Rałowski, Robert

    Published 12-03-2023
    “…In $T_1$ compact topological spaces the Hutchinson operator of a contractive IFS (iterated function system; a finite family of closed mappings from the space…”
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  17. 17

    The Bergman-Shelah preorder on transformation semigroups by Mesyan, Zak, Mitchell, James D., Morayne, Michał, Péresse, Yann H.

    Published in Mathematical logic quarterly (01-11-2012)
    “…Let \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {N}^\mathbb {N}$\end{document} be the semigroup of all mappings on the…”
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  18. 18

    Filtrations for which All ℋ2 Martingales Are of Integrable Variation; Distances between σ-Algebras by Morayne, Michał, Tabisz, Krzysztof

    Published in Journal of theoretical probability (01-03-2008)
    “…We consider filtrations for which all ℋ 2 martingales are of integrable variation. We find a sufficient condition and a necessary condition for this property…”
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  19. 19

    On nonmeasurable unions by Cichoń, Jacek, Morayne, Michał, Rałowski, Robert, Ryll-Nardzewski, Czesław, Żeberski, Szymon

    Published in Topology and its applications (15-02-2007)
    “…For a Polish space X and a σ-ideal I of subsets of X which has a Borel base we consider families A of sets in I with the union ⋃ A not in I. We determine…”
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  20. 20

    Partial-order analogue of the secretary problem the binary tree case by Morayne, Michał

    Published in Discrete mathematics (06-04-1998)
    “…We find an optimal stopping time for the partial-order analogue of the secretary problem in the case of the full binary tree of finite length…”
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