Submeasure and measure
Subsequences and category.
Subsets of the plane with small linear sections and invariant extensions of the two-dimensional Lebesgue measure.
Subshifts of Finite Type and Sofic Systems.
Substitution formulas for the Kurzweil and Henstock vector integrals
Results on integration by parts and integration by substitution for the variational integral of Henstock are well-known. When real-valued functions are considered, such results also hold for the Generalized Riemann Integral defined by Kurzweil since, in this case, the integrals of Kurzweil and Henstock coincide. However, in a Banach-space valued context, the Kurzweil integral properly contains that of Henstock. In the present paper, we consider abstract vector integrals of Kurzweil and prove Substitution...
Sufficient conditions for the spectrality of self-affine measures with prime determinant
Let be a self-affine measure associated with an expanding matrix M and a finite digit set D. We study the spectrality of when |det(M)| = |D| = p is a prime. We obtain several new sufficient conditions on M and D for to be a spectral measure with lattice spectrum. As an application, we present some properties of the digit sets of integral self-affine tiles, which are connected with a conjecture of Lagarias and Wang.
Sugli insiemi piccoli in un gruppo
Un insieme in un gruppo si dice piccolo se esistono infiniti traslati di a due a due disgiunti. In questa nota dimostriamo in modo elementare che, sotto opportune ipotesi, non può essere l'unione di un numero finito di insiemi piccoli (e una generalizzazione di questo risultato).
Suites de -orbite finie.
Suites équiréparties et ensembles mesurables au sens de Riemann
Sulla differenziazione degli integrali di Daniell-Stone
Sulla disintegrazione delle misure negli spazi localmente compatti
Sulla rappresentazione di funzionali mediante integrali
Sulla teoria del prolungamento degli integrali
Sull'additività dell'integrale
Summationsmethoden und Momentfolgen I.
Summationsmethoden und Momentfolgen II.
S-unimodal Misiurewicz maps with flat critical points
We consider S-unimodal Misiurewicz maps T with a flat critical point c and show that they exhibit ergodic properties analogous to those of interval maps with indifferent fixed (or periodic) points. Specifically, there is a conservative ergodic absolutely continuous σ-finite invariant measure μ, exact up to finite rotations, and in the infinite measure case the system is pointwise dual ergodic with many uniform and Darling-Kac sets. Determining the order of return distributions to suitable reference...
Sup-measurable and weakly sup-measurable mappings in the theory of ordinary differential equations.
Supplements to the papers entitled "On a theorem of S. Banach" and "The separable representations of U(H)".
Support as an invariant for dynamical systems