Search Results - "Morayne, Michał"
-
1
Secretary problem with hidden information; searching for a high merit candidate
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…”
Get full text
Journal Article -
2
The Baire theorem, an analogue of the Banach fixed point theorem and attractors in T1 compact spaces
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…”
Get full text
Journal Article -
3
A fiberable continuum which is not nontrivially productable
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…”
Get full text
Journal Article -
4
A fiberable continuum which is not nontrivially productable II
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…”
Get full text
Journal Article -
5
Tail probabilities of a random walk on an interval
Published in Communications in statistics. Theory and methods (03-05-2021)“…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…”
Get full text
Journal Article -
6
Maximizing survival time in a random walk on an interval
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…”
Get full text
Journal Article -
7
Monotone Case for an Extended Process
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…”
Get full text
Journal Article -
8
A Secretary Problem with Many Lives
Published in Communications in statistics. Theory and methods (02-01-2014)“…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…”
Get full text
Journal Article -
9
Topologically invariant σ-ideals on the Hilbert cube
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…”
Get full text
Journal Article -
10
Monotone Case for an Extended Process
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…”
Get full text
Journal Article -
11
Measure preserving homeomorphism of the Hilbert cube embedding the pseudo-boundary into the pseudo-interior
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…”
Get full text
Journal Article -
12
On a universal best choice algorithm for partially ordered sets
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…”
Get full text
Journal Article -
13
A Note on Counting Homomorphisms of Paths
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…”
Get full text
Journal Article -
14
Generating Borel measurable mappings with continuous mappings
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)…”
Get full text
Journal Article -
15
Fixed point theorems for topological contractions and the Hutchinson operator
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…”
Get full text
Journal Article -
16
A note on Hutchinson operator in $\mathbf{T_1}$ compact topological spaces
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…”
Get full text
Journal Article -
17
The Bergman-Shelah preorder on transformation semigroups
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…”
Get full text
Journal Article -
18
Filtrations for which All ℋ2 Martingales Are of Integrable Variation; Distances between σ-Algebras
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…”
Get full text
Journal Article -
19
On nonmeasurable unions
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…”
Get full text
Journal Article -
20
Partial-order analogue of the secretary problem the binary tree case
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…”
Get full text
Journal Article