Results 41 to 50 of about 5,027 (259)
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, EarlyView.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
FRACTAL VECTOR MEASURES IN THE CASE OF AN UNCOUNTABLE ITERATED FUNCTION SYSTEM [PDF]
Romanian Journal of Mathematics and Computer Science, 2015 In this paper we obtain an extension of the concept of Hutchinson measure (which is the unique fi xed point of a contraction on the set of normalized Borel measures on a compact metric space) related to an iterated function system.
LUCIAN NITA
doaj
Borel-piecewise continuous reducibility for uniformization problems [PDF]
Logical Methods in Computer Science, 2017 We study a fine hierarchy of Borel-piecewise continuous functions, especially, between closed-piecewise continuity and $G_\delta$-piecewise continuity. Our aim is to understand how a priority argument in computability theory is connected to the notion of
Takayuki Kihara
doaj +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
Every Borel function is monotone Borel
, 1991 Given two internal sets X and Y we prove that every Borel function (in the Descriptive Set Theory of Hyperfinite Sets) whose graph is a subset of the product X x Y is a member of the least set containing the class of all internal functions and closed ...
Boško Živaljević +1 more
core +1 more source
Forum of Mathematics, PiWe introduce new types of examples of bounded degree acyclic Borel graphs and study their combinatorial properties in the context of descriptive combinatorics, using a generalization of the determinacy method of Marks [Mar16].
Sebastian Brandt +5 more
doaj +1 more source
On Fréchet theorem in the set of measure preserving functions over the unit interval
International Journal of Mathematics and Mathematical Sciences, 1990 In this paper, we study the Fréchet theorem in the set of measure preserving functions over the unit interval and show that any measure preserving function on [0,1] can be approximated by a sequence of measure preserving piecewise linear continuous ...
So-Hsiang Chou, Truc T. Nguyen
doaj +1 more source
On the Characterization of Souslin and Borel Sets [PDF]
Proceedings of the American Mathematical Society, 1975 Let X \mathfrak {X} be an arbitrary family of sets in the basic set
openaire +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate some chemostat models incorporating wall growth, competition, random fluctuations on the dilution rate, and different consumption functions (Monod and Haldane). We analyze the asymptotic behavior of the solutions of the corresponding random differential systems to establish conditions on the model parameters under which the ...
Javier López‐de‐la‐Cruz +2 more
wiley +1 more source
Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis +1 more
wiley +1 more source