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Embeddings of generalised Morrey smoothness spaces

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Acta Mathematica Sinica,English Series 2024年

作者： Dorothee D.HAROSKE Zhen LIU Susana D.MOURA Leszek SKRZYPCZAK Institute of Mathematics Friedrich Schiller University Jena Faculty of Mathematics & Computer Science Adam Mickiewicz University ul.Uniwersytetu Poznańskiego 4 University of Coimbra Department of MathematicsCMUC

We study embeddings between generalised Triebel-Lizorkin-Morrey spaces εφ,p,qs(Rd) and within the scales of further generalised Morrey smoothness spaces like Nφ,p,qs(Rd),Bp,qs,φ(Rd) and Fp,qs,φ(Rd).The latter have been investigated in a recent paper by the first two authors(2023),while the embeddings of the scale Nφ,p,qs(Rd) were mainly obtained in a paper of the first and last two authors(2022).Now we concentrate on the characterisation of the spaces εφ,p,qs(Rd).Our approach requires a wavelet characterisation of those spaces which we establish for the system of Daubechies’ wavelets.Then we prove necessary and sufficient conditions for the embedding εφ1,p1,q1s1(Rd)→εφ2,p2,q2s2(Rd).We can also provide some almost final answer to the question when εφ,p,qs(Rd) is embedded into C(Rd),complementing our recent findings in case of Nφ,p,qs(Rd).

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Foam rolling and stretching do not provide superior acute flexibility and stiffness improvements compared to any other warm-up intervention: A systematic review with meta-analysis

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Journal of Sport and Health Science 2024年第4期13卷 509-520页

作者： Konstantin Warneke Gerit Plöschberger Lars H.Lohmann Eric Lichtenstein Daniel Jochum Stanislav D.Siegel Astrid Zech David G.Behm Institute of Sport Science University of KlagenfurtKlagenfurt am Wörthersee 9020Austria Department of Human Motion Science and Exercise Physiology Friedrich Schiller UniversityJena 07749Germany Department Sport Exercise and HealthUniversity of BaselBasel 4052Switzerland Department of Health Sciences and Technology ETH ZurichZurich 8092Switzerland School of Human Kinetics and Recreation Memorial University of NewfoundlandSt.JohnsNL A1C 5S7Canada

Background:Acute improvement in range of motion(ROM)is a widely reported effect of stretching and foam rolling,which is commonly explained by changes in pain threshold and/or musculotendinous stiffness.Interestingly,these effects were also reported in response to various other active and passive interventions that induce responses such as enhanced muscle temperature.Therefore,we hypothesized that acute ROM enhancements could be induced by a wide variety of interventions other than stretching or foam rolling that promote an increase in muscle temperature.Methods:After a systematic search in PubMed,Web of Science,and SPORTDiscus databases,38 studies comparing the effects of stretching and foam rolling with several other interventions on ROM and passive properties were included.These studies had 1134 participants in total,and the data analysis resulted in 140 effect sizes(ESs).ES calculations were performed using robust variance estimation model with R-package.Results:Study quality of the included studies was classified as fair(PEDro score=4.58)with low to moderate certainty of evidence.Results showed no significant differences in ROM(ES=0.01,p=0.88),stiffness(ES=0.09,p=0.67),or passive peak torque(ES=-0.30,p=0.14)between stretching or foam rolling and the other identified activities.Funnel plots revealed no publication bias.Conclusion:Based on current literature,our results challenge the established view on stretching and foam rolling as a recommended component of warm-up programs.The lack of significant difference between interventions suggests there is no need to emphasize stretching or foam rolling to induce acute ROM,passive peak torque increases,or stiffness reductions.

关键词： Range of motion Passive properties Muscletendon unit Muscle tissue

A visual analytics workflow for probabilistic modeling

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Visual Informatics 2023年第2期7卷 72-84页

作者： Julien Klaus Mark Blacher Andreas Goral Philipp Lucas Joachim Giesen friedrich schiller University jena Germany

Probabilistic programming is a powerful means for formally specifying machine learning models.The inference engine of a probabilistic programming environment can be used for serving complex queries on these models.Most of the current research in probabilistic programming is dedicated to the design and implementation of highly efficient inference engines.Much less research aims at making the power of these inference engines accessible to non-expert users.Probabilistic programming means writing code.Yet many potential users from promising application areas such as the social sciences lack programming skills.This prompted recent efforts in synthesizing probabilistic programs directly from data.However,working with synthesized programs still requires the user to read,understand,and write some code,for instance,when invoking the inference engine for answering queries.Here,we present an interactive visual approach to synthesizing and querying probabilistic programs that does not require the user to read or write code.

关键词： Probabilistic inference Bayesian network Structured query language Table-based visualization

Electron vortices generation of photoelectron of H_(2)^(+) by counter-rotating circularly polarized attosecond pulses

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Chinese Physics B 2024年第1期33卷 362-367页

作者：杨浩婧刘晓煜朱风筝焦利光刘爱华 Institute of Atomic and Molecular Physics Jilin UniversityChangchun 130012China School of Mathematics and Physics Hubei Polytechnic UniversityHuangshi 435003China College of Physics Jilin UniversityChangchun 130012China Helmholtz-Institut jena D-07743 JenaGermany State Key Laboratory of Transient Optics and Photonics Chinese Academy of SciencesXi'an 710119China

Molecular-frame photoelectron momentum distributions(MF-PMDs) of an H_(2)^(+) molecule ion in the presence of a pair of counter-rotating circularly polarized attosecond extreme ultraviolet laser pulses is studied by numerically solving the two-dimensional time-dependent Schrodinger equation within the frozen-nuclei approximation. At small time delay, our simulations show that the electron vortex structure is sensitive to the time delay and relative phase between the counterrotating pulses when they are partially overlapped. By adjusting time delay and relative phase, we have the ability to manipulate the MF-PMDs and the appearance of spiral arms. We further show that the internuclear distance can affect the spiral vortices due to its different transition cross sections in the parallel and perpendicular geometries. The lowest-order perturbation theory is employed to interpret these phenomena qualitatively. It is concluded that the internuclear distancedependent transition cross sections and the confinement effect in diatomic molecules are responsible for the variation of vortex structures in the MF-PMDs.

关键词： photoelectron momentum distribution attosecond pulse vortex

Morrey smoothness spaces:A new approach

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Science China Mathematics 2023年第6期66卷 1301-1358页

作者： Dorothee D.Haroske Hans Triebel Institute of Mathematics Faculty of Mathematics and Computer ScienceFriedrich Schiller University JenaJena 07743Germany

In the recent years,the so-called Morrey smoothness spaces attracted a lot of interest.They can(also)be understood as generalisations of the classical spaces A_(p,q)^(s)(R^(n))with A∈{B,F}in R^(n),where the parameter... 详细信息

关键词： Morrey space smoothness space of Morrey type Besov-Morrey space Triebel-Lizorkin-Morrey space Besov-type space Triebel-Lizorkin-type space

Electron vortex generations in photoionization of hydrogen atoms by circularly-polarized chirped attosecond pulses

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Communications in Theoretical Physics 2024年第1期76卷 111-118页

作者： Bingshuang Zhang Xiaoyu Liu Fengzheng Zhu Liguang Jiao Aihua Liu Institute of Atomic and Molecular Physics Jilin UniversityChangchun 130012China School of Mathematics and Physics Hubei Polytechnic UniversityHuangshi 435003China College of Physics Jilin UniversityChangchun 130012China Helmholtz-Institut jena D-07743 JenaGermany State Key Laboratory of Transient Optics and Photonics Chinese Academy of SciencesXi'an 710119China

By numerically solving the time-dependent Schr?dinger equation and employing the analytical perturbative model,we investigated the chirp-induced electron vortex in the photoionization of hydrogen atoms by a pair of counter-rotating circularly polarized chirped attosecond extremely ultraviolet pulses.We demonstrated that single-photon ionization of hydrogen atoms generates photoelectron momentum distributions(PMDs)with distinct helical vortex structures either with or without a time delay between two counter-rotating circularly polarized laser pulses.These structures are highly sensitive to both the time delay between the pulses and their chirp parameters.Our analytical model reveals that the splitting of vortex spirals is caused by the sign changing of the chirp-induced frequency-dependent time delay.We showed that to obtain the counterpart of the PMD under a pair of counter-rotating circularly polarized chirped pulses,both chirp parameters and ordering of pulses need to be reversed.

关键词： photoionization ultrafast processes ultrafast dynamics electron vortex

Low-energy ion channeling in nanocubes

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Nano Research 2023年第1期16卷 1522-1526页

作者： Shiva Choupanian Wolfhard Möller Martin Seyring Carsten Ronning Institute of Solid State Physics Friedrich Schiller University JenaMax-Wien-Platz 107743 JenaGermany Helmholtz-Zentrum Dresden-Rossendorf Bautzner Landstraße 40001328 DresdenGermany Otto Schott Institute of Materials Research Friedrich Schiller University JenaLoebdergraben 3207743 JenaGermany

Focused ion beam(FIB)processing with low-energy ions has become a standard technique for the manipulation of nanostructures.Many underlying ion beam effects that deviate from conventional high-energy ion irradiation of bulk systems are considered today;however,ion channeling with its consequence of significant deeper penetration depth has been only theoretically investigated in this regime.We present here an experimental approach to determine the channeling of low-energy ions in crystalline nanoparticles by measuring the sputter yield derived from scanning electron microscopy(SEM)images taken after irradiation under various incident ion angles.Channeling maps of 30 and 20 keV Ga+ions in Ag nanocubes have been identified and fit well with the theory.Indeed,channeling has a significant impact on the transport of energetic ions in crystals due to the large critical angle at low ion energies,thus being relevant for any FIB-application.Consequently,the obtained sputter yield clearly differs from amorphous materials;therefore,it is recommended not to rely only on,e.g.,ion distribution depths predicted by standard Monte-Carlo(MC)algorithms for amorphous materials.

关键词： ion nanostructure interaction ion channeling metallic nanoparticles focused ion beam

Identifying the skeptics and the undecided through visual cluster analysis of local network geometry

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Visual Informatics 2022年第3期6卷 11-22页

作者： Shenghui Cheng Joachim Giesen Tianyi Huang Philipp Lucas Klaus Mueller Westlake University HangzhouChina Stony Brook University NYUnited States of America friedrich-schiller-universitat jena JenaGermany Westlake Institute for Advanced Study HangzhouChina Research Center for the Industries of the Future HangzhouChina

By skeptics and undecided we refer to nodes in clustered social networks that cannot be assigned easily to any of the clusters.Such nodes are typically found either at the interface between clusters(the undecided)or at their boundaries(the skeptics).Identifying these nodes is relevant in marketing applications like voter targeting,because the persons represented by such nodes are often more likely to be affected in marketing campaigns than nodes deeply within clusters.So far this identification task is not as well studied as other network analysis tasks like clustering,identifying central nodes,and detecting motifs.We approach this task by deriving novel geometric features from the network structure that naturally lend themselves to an interactive visual approach for identifying interface and boundary nodes.

关键词： Graph/network data High dimensional data visualization Visualization in social and information sciences Data clustering coordinated and multiple views

Protein Disulfide Isomerase 2 of Chlamydomonas reinhardtii Is Involved in Circadian Rhythm Regulation

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Molecular Plant 2013年第5期6卷 1503-1517页

作者： Anna Filonova Paul Haemsch Christin Gebauer Wolfram Weisheit Volker Wagner Institute of General Botany and Plant Physiology Friedrich-Schiller-Universitat Jena 07743 Jena Germany

Protein disulfide isomerases （PDIs） are known to play important roles in the folding of nascent proteins and in the formation of disulfide bonds. Recently, we identified a PDI from Chlamydomonas reinhardtii （CrPDI2） by a mass spectrometry approach that is specifically enriched by heparin affinity chromatography in samples taken during the night phase. Here, we show that the recombinant CrPDI2 is a redox-active protein. It is reduced by thioredoxin reductase and catalyzes itself the reduction of insulin chains and the oxidative refolding of scrambled RNase A. By immunoblots, we confirm a high-amplitude change in abundance of the heparin-bound CrPDI2 during subjective night. Interestingly, we find that CrPDI2 is present in protein complexes of different sizes at both day and night. Among three identified interac- tion partners, one （a 2-cys peroxiredoxin） is present only during the night phase. To study a potential function of CrPDI2 within the circadian system, we have overexpressed its gene. Two transgenic lines were used to measure the rhythm of phototaxis~ In the transgenic strains, a change in the acrophase was observed. This indicates that CrPDI2 is involved in the circadian signaling pathway and, together with the night phase-specific interaction of CrPDI2 and a peroxiredoxin, these findings suggest a close coupling of redox processes and the circadian clock in C. reinhardtii.

关键词： Chlamydomonas reinhardtii protein disulfide isomerase 2 circadian clock.