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Keywords = Komlós

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5 pages, 210 KB  
Article
On the Komlós–Révész SLLN for Ψ-Mixing Sequences
by Zbigniew S. Szewczak
Entropy 2025, 27(1), 36; https://doi.org/10.3390/e27010036 - 4 Jan 2025
Viewed by 1057
Abstract
The Komlós–Révész strong law of large numbers (SLLN) is proved for ψ-mixing sequences without a rate assumption. Full article
(This article belongs to the Special Issue The Random Walk Path of Pál Révész in Probability)
15 pages, 4042 KB  
Article
The Small-Molecule Enhancers of Autophagy AUTEN-67 and -99 Delay Ageing in Drosophila Striated Muscle Cells
by Marcell Komlós, Janka Szinyákovics, Gergő Falcsik, Tímea Sigmond, Bálint Jezsó, Tibor Vellai and Tibor Kovács
Int. J. Mol. Sci. 2023, 24(9), 8100; https://doi.org/10.3390/ijms24098100 - 30 Apr 2023
Cited by 6 | Viewed by 3252
Abstract
Autophagy (cellular self-degradation) plays a major role in maintaining the functional integrity (homeostasis) of essentially all eukaryotic cells. During the process, superfluous and damaged cellular constituents are delivered into the lysosomal compartment for enzymatic degradation. In humans, age-related defects in autophagy have been [...] Read more.
Autophagy (cellular self-degradation) plays a major role in maintaining the functional integrity (homeostasis) of essentially all eukaryotic cells. During the process, superfluous and damaged cellular constituents are delivered into the lysosomal compartment for enzymatic degradation. In humans, age-related defects in autophagy have been linked to the incidence of various age-associated degenerative pathologies (e.g., cancer, neurodegenerative diseases, diabetes, tissue atrophy and fibrosis, and immune deficiency) and accelerated ageing. Muscle mass decreases at detectable levels already in middle-aged patients, and this change can increase up to 30–50% at age 80. AUTEN-67 and -99, two small-molecule enhancers of autophagy with cytoprotective and anti-ageing effects have been previously identified and initially characterized. These compounds can increase the life span in wild-type and neurodegenerative model strains of the fruit fly Drosophila melanogaster. Adult flies were treated with these AUTEN molecules via feeding. Fluorescence and electron microscopy and Western blotting were used to assess the level of autophagy and cellular senescence. Flying tests were used to measure the locomotor ability of the treated animals at different ages. In the current study, the effects of AUTEN-67 and -99 were observed on striated muscle cells using the Drosophila indirect flight muscle (IFM) as a model. The two molecules were capable of inducing autophagy in IFM cells, thereby lowering the accumulation of protein aggregates and damaged mitochondria, both characterizing muscle ageing. Furthermore, the two molecules significantly improved the flying ability of treated animals. AUTEN-67 and -99 decrease the rate at which striated muscle cells age. These results may have a significant medical relevance that could be further examined in mammalian models. Full article
(This article belongs to the Special Issue Recent Research on Autophagy)
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15 pages, 2917 KB  
Article
Characteristics of the Third COVID-19 Pandemic Wave with Special Focus on Socioeconomic Inequalities in Morbidity, Mortality and the Uptake of COVID-19 Vaccination in Hungary
by Beatrix Oroszi, Attila Juhász, Csilla Nagy, Judit Krisztina Horváth, Krisztina Eszter Komlós, Gergő Túri, Martin McKee and Róza Ádány
J. Pers. Med. 2022, 12(3), 388; https://doi.org/10.3390/jpm12030388 - 3 Mar 2022
Cited by 30 | Viewed by 4289
Abstract
Governments are increasingly looking to vaccination to provide a path out of the COVID-19 pandemic. Hungary offers an example to investigate whether social inequalities compromise what a successful vaccine program can achieve. COVID-19 morbidity, mortality, and vaccination coverage were characterized by calculation of [...] Read more.
Governments are increasingly looking to vaccination to provide a path out of the COVID-19 pandemic. Hungary offers an example to investigate whether social inequalities compromise what a successful vaccine program can achieve. COVID-19 morbidity, mortality, and vaccination coverage were characterized by calculation of indirectly standardized ratios in the Hungarian population during the third pandemic wave at the level of municipalities, classified into deprivation quintiles. Then, their association with socioeconomic deprivation was assessed using ecological regression. Compared to the national average, people living in the most deprived municipalities had a 15–24% lower relative incidence of confirmed COVID-19 cases, but a 17–37% higher relative mortality and a 38% lower vaccination coverage. At an ecological level, COVID-19 mortality showed a strong positive association with deprivation and an inverse association with vaccination coverage (RRVaccination = 0.86 (0.75–0.98)), but the latter became non-significant after adjustment for deprivation (RRVaccination = 0.95 (0.84–1.09), RRDeprivation = 1.10 (1.07–1.14)). Even what is widely viewed as one of the more successful vaccine roll outs was unable to close the gap in COVID-19 mortality during the third pandemic wave in Hungary. This is likely to be due to the challenges of reaching those living in the most deprived municipalities who experienced the highest mortality rates during the third wave. Full article
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8 pages, 235 KB  
Article
Convergence of Weak*-Scalarly Integrable Functions
by Noureddine Sabiri and Mohamed Guessous
Axioms 2020, 9(3), 112; https://doi.org/10.3390/axioms9030112 - 22 Sep 2020
Cited by 3 | Viewed by 2680
Abstract
Let (Ω,F,μ) be a complete probability space, E a separable Banach space and E the topological dual vector space of E. We present some compactness results in LE1E, the Banach [...] Read more.
Let (Ω,F,μ) be a complete probability space, E a separable Banach space and E the topological dual vector space of E. We present some compactness results in LE1E, the Banach space of weak*-scalarly integrable E-valued functions. As well we extend the classical theorem of Komlós to the bounded sequences in LE1E. Full article
(This article belongs to the Collection Mathematical Analysis and Applications)
9 pages, 251 KB  
Article
A Proof of Komlós Theorem for Super-Reflexive Valued Random Variables
by Abdessamad Dehaj and Mohamed Guessous
Axioms 2020, 9(3), 106; https://doi.org/10.3390/axioms9030106 - 11 Sep 2020
Cited by 3 | Viewed by 3287
Abstract
We give a geometrical proof of Komlós’ theorem for sequences of random variables with values in super-reflexive Banach space. Our approach is inspired by the elementary proof given by Guessous in 1996 for the Hilbert case and uses some geometric properties of smooth [...] Read more.
We give a geometrical proof of Komlós’ theorem for sequences of random variables with values in super-reflexive Banach space. Our approach is inspired by the elementary proof given by Guessous in 1996 for the Hilbert case and uses some geometric properties of smooth spaces. Full article
(This article belongs to the Collection Mathematical Analysis and Applications)
7 pages, 136 KB  
Article
Testing Goodness of Fit of Random Graph Models
by Villõ Csiszár, Péter Hussami, János Komlós, Tamás F. Móri, Lídia Rejtõ and Gábor Tusnády
Algorithms 2012, 5(4), 629-635; https://doi.org/10.3390/a5040629 - 6 Dec 2012
Cited by 5 | Viewed by 6930
Abstract
Random graphs are matrices with independent 0–1 elements with probabilities determined by a small number of parameters. One of the oldest models is the Rasch model where the odds are ratios of positive numbers scaling the rows and columns. Later Persi Diaconis with [...] Read more.
Random graphs are matrices with independent 0–1 elements with probabilities determined by a small number of parameters. One of the oldest models is the Rasch model where the odds are ratios of positive numbers scaling the rows and columns. Later Persi Diaconis with his coworkers rediscovered the model for symmetric matrices and called the model beta. Here we give goodness-of-fit tests for the model and extend the model to a version of the block model introduced by Holland, Laskey and Leinhard. Full article
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