Spread of wave packets in disordered hierarchical lattices

We consider the spreading of the wave packet in the generalized Rosenzweig-Porter random matrix ensemble in the region of non-ergodic extended states $1<\gamma<2$. We show that despite non-trivial fractal dimensions $0 < D_{q}=2-\gamma<1$ characterize wave function statistics in this region, the wave packet spreading $\langle r^{2} \rangle \propto t^{\beta}$ is governed by the "diffusion" exponent $\beta=1$ outside the ballistic regime $t>\tau\sim 1$ and $\langle r^{2}\rangle \propto t^{2}$ in the ballistic regime for $t<\tau\sim 1$. This demonstrates that the multifractality exhibits itself only in {\it local} quantities like the wave packet survival probability but not in the large-distance spreading of the wave packet.Comment: Accepted in EP

Comparison of systolic and diastolic blood pressure with pulse pressure and mean arterial pressure for prediction of type 2 diabetes: The Isfahan Diabetes Prevention Study

Wstęp: Celem badania było porównanie wartości prognostycznej skurczowego i rozkurczowego ciśnienia tętniczego (BP), ciśnienia tętna (PP), cząstkowego ciśnienia tętna (PPF) i średniego ciśnienia tętniczego (MAP) w odniesieniu do rozwoju cukrzycy typu 2 u krewnych pierwszego stopnia pacjentów chorujących na tę chorobę. Materiał i metody: W latach 2003&#8211;2005 włączono do badania 701 niechorujących na cukrzycę krewnych pierwszego stopnia osób chorych na cukrzyce typu 2 w wieku 20&#8211;70 lat i obserwowano ich do 2008 roku pod kątem rozwoju cukrzycy typu 2. Na początku badania i w ciągu okresu obserwacji u uczestników wykonywano standardowy 2-godzinny test doustnego obciążenia 75 g glukozy. Oceniano wartość pola pod krzywą ROC dla PP, MAP, PPF, skurczowego i rozkurczowego BP w prognozowaniu rozwoju cukrzycy typu 2. Wyniki: W okresie obserwacji cukrzyca rozwinęła się u 72 uczestników badania (10,3%). Zapadalność na cukrzycę typu 2 wynosiła 3,4 na 100 osobolat u mężczyzn i 4,9 u kobiet. Skurczowe i rozkurczowe BP oraz MAP wiązały się z cukrzycą, lecz nie stwierdzono takiego związku w przypadku PP i PPF. Odnotowano podobne zależności między skurczowym i rozkurczowym BP oraz MAP a zapadalnością na cukrzycę. Pola powierzchni pod krzywymi ROC wynosiły 0,582 dla skurczowego BP, 0,589 dla rozkurczowego BP, 0,589 dla MAP, 0,520 dla PP i 0,468 dla PPF. Wnioski: Powyższe dane wskazują, że skurczowe i rozkurczowe BP były równie silnie jak MAP związane z rozwojem cukrzycy. Podwyższone BP może być pomocne w identyfikowaniu krewnych pierwszego stopnia chorych na cukrzycę typu 2 obciążonych wysokim ryzykiem zachorowania na cukrzycę, dlatego należy u nich monitorować ciśnienie tętnicze. (Endokrynol Pol 2011; 62 (4): 324&#8211;330)Background: The aim of this study was to compare the ability of the systolic and diastolic blood pressure (BP), pulse pressure (PP), fraction PP (PPF) and mean arterial pressure (MAP) to predict progression to diabetes in non-diabetic first-degree relatives (FDRs) of patients with type 2 diabetes. Material and methods: A total of 701 non-diabetic FDRs aged 20-70 in 2003 to 2005 were followed through to 2008 for the occurrence of type 2 diabetes mellitus. At baseline and through follow-ups, participants underwent a standard 75 g 2-h oral glucose tolerance test. Prediction of progression to type 2 diabetes was assessed using area under the receiver-operating characteristic (ROC) curves based upon measurement of PP, MAP, PPF, systolic and diastolic BP. Results: Diabetes developed in 72 participants (10.3%) during the follow-up period. The incidence of type 2 diabetes was 3.4 per 100 person years in men and 4.9 in women. Systolic and diastolic BP and MAP were related to diabetes, but PP and PPF were not. Systolic and diastolic BP and MAP have similar associations with incident diabetes. Areas under the ROC curves were 0.582 for systolic, 0.589 for diastolic, 0.589 for MAP, 0.520 for PP, and 0.468 for PPF. Conclusion: These results indicate that systolic and diastolic BP are as strong as MAP in predicting progression to diabetes. Increased BP may help identify FDRs of patients with type 2 diabetes at high risk for diabetes who are candidates for BP control. (Pol J Endocrinol 2011; 62 (4): 324&#8211;330

UMS: Live Migration of Containerized Services across Autonomous Computing Systems

Containerized services deployed within various computing systems, such as edge and cloud, desire live migration support to enable user mobility, elasticity, and load balancing. To enable such a ubiquitous and efficient service migration, a live migration solution needs to handle circumstances where users have various authority levels (full control, limited control, or no control) over the underlying computing systems. Supporting the live migration at these levels serves as the cornerstone of interoperability, and can unlock several use cases across various forms of distributed systems. As such, in this study, we develop a ubiquitous migration solution (called UMS) that, for a given containerized service, can automatically identify the feasible migration approach, and then seamlessly perform the migration across autonomous computing systems. UMS does not interfere with the way the orchestrator handles containers and can coordinate the migration without the orchestrator involvement. Moreover, UMS is orchestrator-agnostic, i.e., it can be plugged into any underlying orchestrator platform. UMS is equipped with novel methods that can coordinate and perform the live migration at the orchestrator, container, and service levels. Experimental results show that for single-process containers, the service-level approach, and for multi-process containers with small (< 128 MiB) memory footprint, the container-level migration approach lead to the lowest migration overhead and service downtime. To demonstrate the potential of UMS in realizing interoperability and multi-cloud scenarios, we examined it to perform live service migration across heterogeneous orchestrators, and between Microsoft Azure and Google CloudComment: Accepted in IEEE Globecom 2023 conferenc