Results 31 to 40 of about 88,517 (218)

Isomorphism and embedding of Borel systems on full sets

, 2012
A Borel system consists of a measurable automorphism of a standard Borel space. We consider Borel embeddings and isomorphisms between such systems modulo null sets, i.e. sets which have measure zero for every invariant probability measure.
K. Petersen, M. Hochman, Michael Hochman
core   +1 more source

Structural, point-free, non-Hausdorff topological realization of Borel groupoid actions

Forum of Mathematics, Sigma
We extend the Becker–Kechris topological realization and change-of-topology theorems for Polish group actions in several directions. For Polish group actions, we prove a single result that implies the original Becker–Kechris theorems, as well as Sami’s ...
Ruiyuan Chen
doaj   +1 more source

A Version of the Hahn-Banach Theorem for R-Vector Spaces [PDF]

Sahand Communications in Mathematical Analysis
Recently, $R$-metric spaces have been introduced to generalized metric spaces. This extension is based on the construction of a new universe with interesting properties.
Azadeh Alijani, Zohreh Heydarpour, Maryam Naderi Parizi   +2 more
doaj   +1 more source

Borel sets with large squares

, 1998
For a cardinal mu we give a sufficient condition (*)_mu (involving ranks measuring existence of independent sets) for: [(**)_mu] if a Borel set B subseteq R x R contains a mu-square (i.e. a set of the form A x A, |A|= mu) then it contains a 2^{aleph_0}-
Shelah, Saharon
core   +2 more sources

Attractors of iterated function systems and Markov operators

Abstract and Applied Analysis, 2003
This paper contains a review of results concerning “generalized” attractors for a large class of iterated function systems {wi:i∈I} acting on a complete separable metric space.
Józef Myjak, Tomasz Szarek
doaj   +1 more source

Borel and countably determined reducibility in nonstandard domain

, 2002
We consider reducibility of equivalence relations (ERs, for brevity), in a nonstandard domain, in terms of the Borel reducibility and the countably determined (CD, for brevity) reducibility.
Kanovei, Vladimir, Reeken, Michael
core   +1 more source

Bayesian inverse ensemble forecasting for COVID‐19

Canadian Journal of Statistics, EarlyView.
Abstract Variations in strains of COVID‐19 have a significant impact on the rate of surges and on the accuracy of forecasts of the epidemic dynamics. The primary goal for this article is to quantify the effects of varying strains of COVID‐19 on ensemble forecasts of individual “surges.” By modelling the disease dynamics with an SIR model, we solve the ...
Kimberly Kroetch, Don Estep
wiley   +1 more source

Injective tests of low complexity in the plane [PDF]

, 2015
We study injective versions of the characterization of sets potentially in a Wadge class of Borel sets, for the first Borel and Lavrentieff classes.
Lecomte, Dominique, Zamora, Rafael
core   +2 more sources

Uniformity, Universality, and Computability Theory

, 2017
We prove a number of results motivated by global questions of uniformity in computability theory, and universality of countable Borel equivalence relations. Our main technical tool is a game for constructing functions on free products of countable groups.
Marks, Andrew S
core   +1 more source

Non‐negative Gaussian estimation of variance components in random effects models

Canadian Journal of Statistics, EarlyView.
Abstract When used to estimate variance components (VCs), confidence intervals (CIs) can be truncated at zero, have a point estimate not in the quoted CI, be empty with positive probability, or be all‐inclusive. This is because they have conflicting dual roles, since they are considered to cover the parameter with a specified probability while also ...
André Plante, Michael Plante
wiley   +1 more source