Anders Öberg
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View article: Forty years of follow-up: Incidence, diagnoses and long-term survival in children diagnosed with central nervous system tumors in Sweden 1984-2021
Forty years of follow-up: Incidence, diagnoses and long-term survival in children diagnosed with central nervous system tumors in Sweden 1984-2021 Open
Background Central nervous system (CNS) tumors are the second most common childhood malignancy and a leading cause of cancer-related mortality. This national population-based study describes childhood primary CNS tumors diagnosed in Sweden…
View article: Continuous eigenfunctions of the transfer operator for Dyson models
Continuous eigenfunctions of the transfer operator for Dyson models Open
In this article we address a well known problem at the intersection of ergodic theory and statistical mechanics. We prove that there exists a continuous eigenfunction for the transfer operator corresponding to pair potentials that satisfy …
View article: Sustained Survival Benefit in Recurrent Medulloblastoma by a Metronomic Antiangiogenic Regimen
Sustained Survival Benefit in Recurrent Medulloblastoma by a Metronomic Antiangiogenic Regimen Open
Importance Medulloblastoma recurrence in patients who have previously received irradiation has a dismal prognosis and lacks a standard salvage regimen. Objective To evaluate the response rate of pediatric patients with medulloblastoma recu…
View article: Continuous eigenfunctions of the transfer operator for Dyson models
Continuous eigenfunctions of the transfer operator for Dyson models Open
In this article we address a well known problem at the intersection of ergodic theory and statistical mechanics. We prove that there exists a continuous eigenfunction for the transfer operator corresponding to pair potentials that satisfy …
View article: Doeblin measures: uniqueness and mixing properties
Doeblin measures: uniqueness and mixing properties Open
In this paper we solve two open problems in ergodic theory. We prove first that if a Doeblin function $g$ (a $g$-function) satisfies \[\limsup_{n\to\infty}\frac{\mbox{var}_n \log g}{n^{-1/2}} < 2,\] then we have a unique Doeblin measure ($…
View article: Supratentorial CNS-PNETs in children; a Swedish population-based study with molecular re-evaluation and long-term follow-up
Supratentorial CNS-PNETs in children; a Swedish population-based study with molecular re-evaluation and long-term follow-up Open
Background Molecular analyses have shown that tumours diagnosed as supratentorial primitive neuro-ectodermal tumours of the central nervous system (CNS-PNETs) in the past represent a heterogenous group of rare childhood tumours including h…
View article: DNA methylation profiling improves routine diagnosis of paediatric central nervous system tumours: A prospective population‐based study
DNA methylation profiling improves routine diagnosis of paediatric central nervous system tumours: A prospective population‐based study Open
Aims Paediatric brain tumours are rare, and establishing a precise diagnosis can be challenging. Analysis of DNA methylation profiles has been shown to be a reliable method to classify central nervous system (CNS) tumours with high accurac…
View article: ETMR-10. Retrospective molecular re-evaluation of CNS PNETs; a population-based study
ETMR-10. Retrospective molecular re-evaluation of CNS PNETs; a population-based study Open
BACKGROUND: The heterogeneous group of tumors, primitive neuro-ectodermal tumors of the central nervous system (CNS-PNETs), is a group of rare childhood embryonal tumors associated with a poor prognosis. In recent years, molecular analyzes…
View article: PATH-08. DNA methylation profiling improves routine diagnostics of paediatric CNS tumours: a prospective population-based study
PATH-08. DNA methylation profiling improves routine diagnostics of paediatric CNS tumours: a prospective population-based study Open
AIMS: Paediatric brain tumours are rare and establishing a precise diagnosis can be challenging. Analysis of DNA methylation profiles has been shown to be a reliable method to classify central nervous system (CNS) tumours with high accurac…
View article: The Kusuoka measure and the energy Laplacian on level-$k$ Sierpiński gaskets
The Kusuoka measure and the energy Laplacian on level-$k$ Sierpiński gaskets Open
We extend and survey results in the theory of analysis on fractal sets from the standard Laplacian on the Sierpiński gasket to the energy Laplacian, which is defined weakly by using the Kusuoka energy measure. We also extend results from t…
View article: A piecewise contractive dynamical system and election methods
A piecewise contractive dynamical system and election methods Open
We prove some basic results for a dynamical system given by a piecewise linear and contractive map on the unit interval that takes two possible values at a point of discontinuity. We prove that there exists a universal limit cycle in the n…
View article: Ergodic theory of Kusuoka measures
Ergodic theory of Kusuoka measures Open
In the analysis on self-similar fractal sets, the Kusuoka measure plays an important role. Here we investigate the Kusuoka measure from an ergodic theoretic viewpoint, seen as an invariant measure on a symbolic space. Our investigation sho…
View article: Phase transitions in long-range Ising models and an optimal condition for factors of $g$-measures
Phase transitions in long-range Ising models and an optimal condition for factors of $g$-measures Open
We weaken the assumption of summable variations in a paper by Verbitskiy \cite{verb} to a weaker condition, Berbee's condition, in order for a 1-block factor (a single site renormalisation) of the full shift space on finitely many symbols …