Mackey continuity of characteristic functionals.
Maďarský matematik rozřešil kvadraturu kruhu
Mahler measure and entropy for commuting automorphisms of compact groups.
Majoration des semi-groupes de contractions de L1 et applications
Majorizing Measures and Ultrametric Spaces
Talagrand's proof of the sufficiency of existence of a majorizing measure for the sample boundedness of processes with bounded increments used a contraction from a certain ultrametric space. We give a short proof of existence of such an ultrametric using admissible sequences of nets.
Maličky-Riečan's entropy as a version of operator entropy
The paper deals with the notion of entropy for doubly stochastic operators. It is shown that the entropy defined by Maličky and Riečan in [MR] is equal to the operator entropy proposed in [DF]. Moreover, some continuity properties of the [MR] entropy are established.
Malý průvodce historií integrálu [Book]
Maple tools for the Kurzweil integral
Riemann sums based on -fine partitions are illustrated with a Maple procedure.
Mapping properties of maximal operators
Mappings of finite distortion: composition operator.
Marczewski sets in the Hashimoto topologies for measure and category
Marczewski sets, measure and the Baire property
Marczewski-Burstin Representations of Boolean Algebras Isomorphic to a Power Set
The paper contains some sufficient conditions for Marczewski-Burstin representability of an algebra 𝓐 of sets which is isomorphic to 𝓟(X) for some X. We characterize those algebras of sets which are inner MB-representable and isomorphic to a power set. We consider connections between inner MB-representability and hull property of an algebra isomorphic to 𝓟 (X) and completeness of an associated quotient algebra. An example of an infinite universally MB-representable algebra is given.
Marczewski-Burstin-like characterizations of σ-algebras, ideals, and measurable functions
ℒ denotes the Lebesgue measurable subsets of ℝ and denotes the sets of Lebesgue measure 0. In 1914 Burstin showed that a set M ⊆ ℝ belongs to ℒ if and only if every perfect P ∈ ℒ$ℒ0 which is a subset of or misses M (a similar statement omitting “is a subset of or” characterizes ). In 1935, Marczewski used similar language to define the σ-algebra (s) which we now call the “Marczewski measurable sets” and the σ-ideal which we call the “Marczewski null sets”. M ∈ (s) if every perfect set P has...
Markoff property of generalized random fields
Markov maps associated with fuchsian groups
Markov operators on the space of vector measures; coloured fractals
We consider the family 𝓜 of measures with values in a reflexive Banach space. In 𝓜 we introduce the notion of a Markov operator and using an extension of the Fortet-Mourier norm we show some criteria of the asymptotic stability. Asymptotically stable Markov operators can be used to construct coloured fractals.
Martingale theorems in the ergodic theory
Martingales and arbitrage: a new look.
Martin's axiom and medial functions.