255,570 research outputs found
Control and Filtering for Discrete Linear Repetitive Processes with H infty and ell 2--ell infty Performance
Repetitive processes are characterized by a series of sweeps, termed passes, through a set of dynamics defined over a finite duration known as the pass length. On each pass an output, termed the pass profile, is produced which acts as a forcing function on, and hence contributes to, the dynamics of the next pass profile. This can lead to oscillations which increase in amplitude in the pass to pass direction and cannot be controlled by standard control laws. Here we give new results on the design of physically based control laws for the sub-class of so-called discrete linear repetitive processes which arise in applications areas such as iterative learning control. The main contribution is to show how control law design can be undertaken within the framework of a general robust filtering problem with guaranteed levels of performance. In particular, we develop algorithms for the design of an H? and dynamic output feedback controller and filter which guarantees that the resulting controlled (filtering error) process, respectively, is stable along the pass and has prescribed disturbance attenuation performance as measured by and – norms
Empress Wu the Great Tang Dynasty China
Europe and Great Britain have had many sovereign queens in the course of history. In ancient China, there was none of that. Only one Empress ever ruled China in her own name Empress Wu. Given her startling performance in a world of deadly intrigue and shifting loyalties, Wu is still respected as an effective and clear-sighted ruler.Intro -- Preface -- Chapter 1. Origins of a Future Sovereign -- The Wu Family -- Wu's Father Rises from a Merchant to a Nobleman -- Mr. Wu Marries Up -- Mr. Wu Becomes a Governor -- Mr. Wu Leaves His Family Bereft -- The Establishment of the Tang Dynasty -- Mr. Wu's Sponsor Becomes the Second Emperor of the Tang Dynasty -- Empress Changsun and a Few of the Courtiers -- Chapter 2. Miss Wu Becomes an Imperial Concubine -- The Sons Vie for the Succession -- Selecting the Crown Prince -- Introduction to the Crown Prince -- Sent to a Nunnery -- The New Emperor Reigns -- Empress Wang Brings Wu Back to the Palace -- Empress Wang and Concubine Xiao Unite against Concubine Wu -- Concubine Wu Fights Back -- The Courtiers Take Sides -- Empress Wang and Her Supporters Take a Mis-Step -- Empress Wang and the Crown Prince are Removed -- Wu Becomes Empress -- Chapter 3. From Empress to Empress Dowager -- Advancing Supporters and Annihilating Opponents -- Taking Part in Politics -- The Pleasures of Traveling -- Relationship With Her Children -- Chapter 4. The Empress Dowager Consolidates Her Power -- Standing at the Top -- View from the Summit -- Chapter 5. Rebellions -- The Largest Rebellion -- The Rebellions of the Princes Li -- Other Rebellions -- Abuse of Power at Every Level -- Chapter 6. Picking Favorites -- Naming a Successor -- Empress Wu's Favorites -- Chapter 7. Relations with Other Nations -- Tibet -- Korea -- The Tujue Clan -- Japan and Arabia -- Chapter 8. Famous Legends About Empress Wu -- Face Reading -- Flowers Blooming in Winter -- Other LegendsEurope and Great Britain have had many sovereign queens in the course of history. In ancient China, there was none of that. Only one Empress ever ruled China in her own name Empress Wu. Given her startling performance in a world of deadly intrigue and shifting loyalties, Wu is still respected as an effective and clear-sighted ruler.Description based on publisher supplied metadata and other sources.Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, YYYY. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
Statistical and geometric properties of tree-shifts and fractals : a dynamical perspective
Abstract
This thesis investigates the statistical and geometric properties of various symbolic and geometric fractals. Utilizing techniques from dynamical systems, ergodic theory, and large deviation theory, it provides a comprehensive analysis of key questions concerning Markov subshifts on rooted d-trees, self-conformal and self-affine fractals, and their associated measures. The research is organized into four central themes: the thermodynamic formalism of Markov subshifts over d-trees, the recurrence properties in Bedford--McMullen carpets, the decay in the Fourier spectrum of self-similar measures, and the local statistics of conformal measures.
The exploration of thermodynamic formalism for Markov subshifts over d-trees aligns with current research on statistical mechanical systems on trees, providing a large deviation description for d-tree-indexed Markov chains, characterizing pressure, entropy, and dimension in this non-Euclidean setting. Regarding recurrence in fractal systems, this work extends knowledge on recurrence in self-affine fractals by examining Bedford--McMullen carpets with coinciding Hausdorff and box-counting dimensions, providing new insights into quantitative recurrence under non-conformal dynamics. The investigation of Fourier decay in self-similar measures establishes a van der Corput lemma for one-dimensional non-atomic self-similar measures, with applications to metric theorems and absolutely pointwise normality. Finally, the study of local statistics of conformal measures expands the known class of fractal scaling measures by demonstrating that projections of ergodic measures through self-conformal iterated function systems are scaling measures, unveiling deep connections between scaling measures and ergodic theory.
These results collectively contribute to a deeper understanding of the interplay between fractal geometry, probability theory, and dynamical systems, providing novel approaches to addressing problems and offering potential directions for future research. Original papers Wu, Y.-L., & Yuan, N. (2025). Quantitative recurrence problem on some Bedford-McMullen carpets. Journal of Mathematical Analysis and Applications, 543(2), 128938. https://doi.org/10.1016/j.jmaa.2024.128938 https://doi.org/10.1016/j.jmaa.2024.128938 Self-archived version Ban, J.-C., & Wu, Y.-L. (2025). On the topological pressure of axial product on trees. Stochastics and Dynamics, 25(01), 2550007. https://doi.org/10.1142/S0219493725500078 https://doi.org/10.1142/S0219493725500078 Algom, A., Chang, Y., Wu, M., & Wu, Y.-L. (2025). Van der Corput and metric theorems for geometric progressions for self-similar measures. Mathematische Annalen. https://doi.org/10.1007/s00208-025-03233-3 https://doi.org/10.1007/s00208-025-03233-3 Self-archived version Wu, M., & Wu, Y.-L. (2025). Scaling properties of invariant measures for conformal iterated function systems. Manuscript in preparation. Tiivistelmä
Tämä väitöskirja tutkii erilaisten symbolisten ja geometristen fraktaalien tilastollisia ja geometrisia ominaisuuksia. Hyödyntäen tekniikoita, jotka liittyvät dynaamisiin systeemeihin, ergodiateoriaan ja suurpoikkeamateoriaan, se tarjoaa kattavan analyysin keskeisistä kysymyksistä, jotka koskevat Markovin siirtoja juurellisilla d-puilla, itse-konformeja ja itse-affiinisia fraktaaleja sekä niihin liittyviä mittoja. Tutkimus on jaettu neljään keskeiseen teemaan: Markovin siirtojen termodynaaminen formalismi d-puilla, toistuvuuden ominaisuudet Bedford--McMullen -matoissa, Fourier-spektrin heikkeneminen itse-similaareille mitoille ja konformien mittojen paikallinen tilastollinen käyttäytyminen.
Markovin siirtojen termodynaamisen formalismin tutkiminen d-puilla on linjassa nykyisen tutkimuksen kanssa tilastollisista mekaanisista systeemeistä puilla, tarjoten suurpoikkeamateoreettisen kuvauksen d-puuindeksoiduille Markovin ketjuille, ja paineen, entropian ja ulottuvuuden karakterisoinnin tässä ei-Euklidisessa ympäristössä. Mitä tulee toistuvuuteen fraktaalisissa järjestelmissä, tämä työ laajentaa tietämystä itse-affiinisten fraktaalien toistuvuudesta tarkastelemalla Bedford--McMullen -mattoja, joiden Hausdorffin dimensio ja laatikkodimensio ovat samat, tuoden uusia näkökulmia kvantitatiiviseen toistuvuuteen ei-konformaalisissa dynamiikoissa. Fourierin heikkenemisen tutkiminen itse-similaareille mitoille luo van der Corput'n lemman yksiulotteisille ei-atomisille itse-similaareille mitoille, jolla on sovelluksia metrisiin teoreemiin ja absoluuttisesti pisteittäiseen normaalisuuteen. Viimeisenä, konformaalisten mittojen paikallisten tilastojen tutkiminen laajentaa tunnettua fraktaalisten skaalautuvien mittojen luokkaa osoittaen, että ergodisten mittojen projisoinnit itse-konformaalisten iteratiivisten funktiosysteemien kautta ovat skaalautuvia mittoja, paljastaen syviä yhteyksiä skaalautuvien mittojen ja ergodiateorian välillä.
Nämä tulokset yhdessä tarjoavat syvemmän ymmärryksen fraktaaligeometrian, todennäköisyysteorian ja dynaamisten systeemien välisestä vuorovaikutuksesta, tarjoten uusia lähestymistapoja avoimiin ongelmiin ja mahdollisia suuntaviivoja tulevalle tutkimukselle. Osajulkaisut Wu, Y.-L., & Yuan, N. (2025). Quantitative recurrence problem on some Bedford-McMullen carpets. Journal of Mathematical Analysis and Applications, 543(2), 128938. https://doi.org/10.1016/j.jmaa.2024.128938 https://doi.org/10.1016/j.jmaa.2024.128938 Rinnakkaistallennettu versio Ban, J.-C., & Wu, Y.-L. (2025). On the topological pressure of axial product on trees. Stochastics and Dynamics, 25(01), 2550007. https://doi.org/10.1142/S0219493725500078 https://doi.org/10.1142/S0219493725500078 Algom, A., Chang, Y., Wu, M., & Wu, Y.-L. (2025). Van der Corput and metric theorems for geometric progressions for self-similar measures. Mathematische Annalen. https://doi.org/10.1007/s00208-025-03233-3 https://doi.org/10.1007/s00208-025-03233-3 Rinnakkaistallennettu versio Wu, M., & Wu, Y.-L. (2025). Scaling properties of invariant measures for conformal iterated function systems. Manuscript in preparation. Academic dissertation to be presented with the assent of the Doctoral Programme Committee of Technology and Natural Sciences of the University of Oulu for public defence in the OP auditorium (L10), Linnanmaa, on 25 October 2025, at 12 noonAbstract
This thesis investigates the statistical and geometric properties of various symbolic and geometric fractals. Utilizing techniques from dynamical systems, ergodic theory, and large deviation theory, it provides a comprehensive analysis of key questions concerning Markov subshifts on rooted d-trees, self-conformal and self-affine fractals, and their associated measures. The research is organized into four central themes: the thermodynamic formalism of Markov subshifts over d-trees, the recurrence properties in Bedford--McMullen carpets, the decay in the Fourier spectrum of self-similar measures, and the local statistics of conformal measures.
The exploration of thermodynamic formalism for Markov subshifts over d-trees aligns with current research on statistical mechanical systems on trees, providing a large deviation description for d-tree-indexed Markov chains, characterizing pressure, entropy, and dimension in this non-Euclidean setting. Regarding recurrence in fractal systems, this work extends knowledge on recurrence in self-affine fractals by examining Bedford--McMullen carpets with coinciding Hausdorff and box-counting dimensions, providing new insights into quantitative recurrence under non-conformal dynamics. The investigation of Fourier decay in self-similar measures establishes a van der Corput lemma for one-dimensional non-atomic self-similar measures, with applications to metric theorems and absolutely pointwise normality. Finally, the study of local statistics of conformal measures expands the known class of fractal scaling measures by demonstrating that projections of ergodic measures through self-conformal iterated function systems are scaling measures, unveiling deep connections between scaling measures and ergodic theory.
These results collectively contribute to a deeper understanding of the interplay between fractal geometry, probability theory, and dynamical systems, providing novel approaches to addressing problems and offering potential directions for future research.Tiivistelmä
Tämä väitöskirja tutkii erilaisten symbolisten ja geometristen fraktaalien tilastollisia ja geometrisia ominaisuuksia. Hyödyntäen tekniikoita, jotka liittyvät dynaamisiin systeemeihin, ergodiateoriaan ja suurpoikkeamateoriaan, se tarjoaa kattavan analyysin keskeisistä kysymyksistä, jotka koskevat Markovin siirtoja juurellisilla d-puilla, itse-konformeja ja itse-affiinisia fraktaaleja sekä niihin liittyviä mittoja. Tutkimus on jaettu neljään keskeiseen teemaan: Markovin siirtojen termodynaaminen formalismi d-puilla, toistuvuuden ominaisuudet Bedford--McMullen -matoissa, Fourier-spektrin heikkeneminen itse-similaareille mitoille ja konformien mittojen paikallinen tilastollinen käyttäytyminen.
Markovin siirtojen termodynaamisen formalismin tutkiminen d-puilla on linjassa nykyisen tutkimuksen kanssa tilastollisista mekaanisista systeemeistä puilla, tarjoten suurpoikkeamateoreettisen kuvauksen d-puuindeksoiduille Markovin ketjuille, ja paineen, entropian ja ulottuvuuden karakterisoinnin tässä ei-Euklidisessa ympäristössä. Mitä tulee toistuvuuteen fraktaalisissa järjestelmissä, tämä työ laajentaa tietämystä itse-affiinisten fraktaalien toistuvuudesta tarkastelemalla Bedford--McMullen -mattoja, joiden Hausdorffin dimensio ja laatikkodimensio ovat samat, tuoden uusia näkökulmia kvantitatiiviseen toistuvuuteen ei-konformaalisissa dynamiikoissa. Fourierin heikkenemisen tutkiminen itse-similaareille mitoille luo van der Corput'n lemman yksiulotteisille ei-atomisille itse-similaareille mitoille, jolla on sovelluksia metrisiin teoreemiin ja absoluuttisesti pisteittäiseen normaalisuuteen. Viimeisenä, konformaalisten mittojen paikallisten tilastojen tutkiminen laajentaa tunnettua fraktaalisten skaalautuvien mittojen luokkaa osoittaen, että ergodisten mittojen projisoinnit itse-konformaalisten iteratiivisten funktiosysteemien kautta ovat skaalautuvia mittoja, paljastaen syviä yhteyksiä skaalautuvien mittojen ja ergodiateorian välillä.
Nämä tulokset yhdessä tarjoavat syvemmän ymmärryksen fraktaaligeometrian, todennäköisyysteorian ja dynaamisten systeemien välisestä vuorovaikutuksesta, tarjoten uusia lähestymistapoja avoimiin ongelmiin ja mahdollisia suuntaviivoja tulevalle tutkimukselle
WU-1 directly inhibits both the binding of the glucose analogue (ATB-BMPA) to PfHT and PfHT transport activity.
A) Biotinylated ATB-BMPA, a bis-mannose containing photolabel, binds to the glucose binding site of PfHT. Liposomes containing 0.65 μg PfHT were preincubated with ± 10 μM WU-1 prior to labeling with biotinylated ATB-BMPA. PfHT bound with biotinylated ATB-BMPA was analyzed by immunoblot analysis using a fluorescently labeled streptavidin (Strep). The strep signal was normalized to the amount of PfHT protein. Data are expressed as the means ± SEM., n = 3; (*), p3H]-D-glucose minus ([3H]-L-glucose) into PfHT-containing liposomes. Different concentrations of WU-1 were added to the liposomes 20 min prior to the initiation of the transport reaction. Uptake (quenched after 50 sec) was normalized to the amount of PfHT in the liposomes. Data were fit by nonlinear regression analysis using GraphPad Prism 6.0 software to calculate the IC50 for WU-1. Data are expressed as mean ± SEM of three independent experiments.</p
Cidariplura maraho Wu & Owada 2013
Cidariplura maraho Wu & Owada, 2013 (Figs 15, 16, 33, 42, 52) Cidariplura maraho Wu & Owada, in Wu et al., 2013: 151, figs 14–16, 41, 42, 62, 73, 82. Type material. Holotype, ♂, Taiwan, Nantou County, Meifeng, 2,100 m, 29. VI. 2012, TFRI147244 S. Wu & W. C. Chang leg. (TFRI) (Fig. 15). Paratypes (9♂ 4♀): the same collecting locality as that of holotype, 1♂, 18. VII. 1990, TFRI00010165, Y. C. Chang leg.; the same locality, 3♂, 20. VII. 2011, TFRI00128724 ♂, S. Wu & W. C. Chang leg. (TFRI); Hualien, Ci’en, 1,950 m, 2♂, 28. VI. 2011, S. Wu & W. C. Chang leg.; the same locality, 1♂, 18. VII. 2011, S. Wu & W. C. Chang leg. (TFRI); Pilu-Shenmu, 2,000 m, 1♀, 16.VII. 2012, M. Owada & L. C. Shih leg. (ESRI); Nantou, Biluxi, 1♂, 12. VII. 2011, C. M. Fu leg.; Turnyuan, 1♀, 23. VI. 2007, 1,950 m, C. M. Fu leg. (NMNS); Taichung, Wuling, 1,850 m, 1♀, 10–12. VIII. 1990, M. Owada leg. (NSMT); Hualien, Tsu’en, 1,990 m, 1♂, 26. VI. 1989, M. Owada leg. (NSMT); Nantou, Hotso [Lushan Spa], 1♀, 26–29. VI. 1973, M. Owada leg. (NSMT). Additional material examined (2♂ 2♀). Hualien, Tsu’en, 2,000 m, 1♀, 13. VII. 2015, NSMT3284 ♀, M. Owada & L. Shih leg. (NSMT); Nantou, Sunlinksea, 1,700 m, 1♂, 25. VI. 2017, NSMT3283 ♂, M. Owada & L. Shih leg. (NSMT); Kaohsiung, Tianchi-2, 2,280 m, 1♂ 1♀, 6. VII. 2015, M. Owada & C.-M. Fu leg. (NSMT). Diagnosis. The species is easily distinguished from other species in C. gladiata complex due to the paler ground coloration of the wings and the more contrasting forewing medial region, the less curved transversal lines on both wings, and the medial part of the corpus bursae, which is incised with longitudinal wrinkles. Distribution and phenology. Endemic to Taiwan. The adults occur from June to August.Published as part of Wu, Shipher, Owada, Mamoru & Wang, Min, 2019, Review of Cidariplura Butler, 1879 (Lepidoptera, Erebidae, Herminiinae). Part 1: the Cidariplura gladiata species complex, pp. 489-502 in Zootaxa 4668 (4) on page 496, DOI: 10.11646/zootaxa.4668.4.3, http://zenodo.org/record/344986
Reticularisus Wu, Wu & Han, a new subgenus of the genus Rhamnosa Fixsen, 1887 from China, with description of a new species (Lepidoptera: Limacodidae)
A new subgenus, ReticularisusWu, Wu & Han, subgen. n., with type species Rhamnosa henanensis Wu, 2008,of the genus Rhamnosa Fixsen, 1887 is described and illustrated. For the sake of contrast, the type species of theother two subgenera in this genus have been given, including adults and male genitalia. Rhamnosa (Reticularisus) shierbeihoua Wu, Wu & Han, sp. n., a Limacodidae collected from the southwest of China is described as new to science. Also, the new species is illustrated with images of the adult and male genitalia and compared with the similar species Rh. henanensis.Se describe e ilustra un nuevo subgénero, Reticularisus Wu, Wu & Han, subgen. n., con la especie tipo Rhamnosa henanensis Wu, 2008, del género Rhamnosa Fixsen, 1887. Para contrastar, se da la especie tipo de los otros dos subgéneros en este género, incluyendo los adultos y la genitalia del macho. Se describe como nueva para la ciencia a Rhamnosa (Reticularisus) shierbeihoua Wu, Wu & Han, sp. n., un Limacodidae capturado del suroeste de China. También la nueva especie es ilustrada con imágenes del adulto y genitalia del macho y comparada con la especie similar Rh. henanensis
Frisilia anningensis Wu 1997
16. Frisilia anningensis Wu, 1997 Acta Zootaxonomica Sinica, 22 (1): 87, Fig. 2. TL: China, Yünnan. [IZAS, China]. Diagnosis. The species is similar to F. s u l c a t a Meyrick, which was described from N. India, and it is characterized by the male genitalia with a small spine on the ventral margin of the valva, and extremely emarginated on the caudal margin of the juxta. The female is as yet unknown. Adult (Fig. 17, holotype). Wingspan, 19.0 mm. Male genitalia (Figs. 48, 48 a). See Wu (1997 a: Fig. 2). Material examined. 1 ♂ (holotype), Prov. Yunnan, 16 VIII 1982, gen. prep. no. IZAS-W 89178. Distribution. China.Published as part of Park, Kyu-Tek, Wu, Chunseng, Kun, Andras & Sohn, And Jae-Cheon, 2008, A taxonomic review of the genus Frisilia Walker (Lepidoptera: Lecithoceridae), with description of two new species, pp. 1-24 in Zootaxa 1696 on page 10, DOI: 10.5281/zenodo.18072
Selegiline (L-Deprenyl) as a Unique Neuroprotective Agent for Chronic Neurodegenerative Disorders- a Lesson from Mao Inhibition
The purpose of this review is to describe recent advances in understanding the neuroprotective effects of selegiline (N- propanyl-l- amphetamine; l-deprenyl) and the development of a variety of novel and interesting propargyl compounds that might be potentially useful in the treatment of chronic neurodegenerative brain disorders. Selegiline is a selective , non-competitive, irreversible inhibitor of monoamine oxidase ( MAO) B, and is widely used as an adjunct to Ldopa in the treatment of Parkinson's disease. Recent interest in selegiline has focused on its complex neuroprotective actions against a variety of neurotoxins, and on the pathological processes of oxidative stress and apoptosis which cause neuronal death in chronic neurodegenerative brain disorders, such as Parkinson's disease, Alzheimer's disease, and amyotrophic lateral sclerosis. These neuroprotective effects of selegiline are due not only to MAO-B inhibition, but also to many other effects, such as suppression of free radical formation elicited by MPP+ and glutamate, up regulation of the antioxidative enzymes, superoxide dismutase and catalase, induction of proteins interfering with the apoptotic pathway, and expression of neurotrophic factors. Recent molecular biological evidence suggests that selegiline may also alter the expression of glyceraldehyde-3-phosphate dehydrogenase (GAPDH) and other redox active molecules such as thioredoxin in brain neurons. These unique neuroprotective mechanisms of selegiline may provide models for the synthesis of new Npropargyl analogues with different structure-activity relationships, and for the development of therapeutic strategies designed to prevent the evolution of pathologic neurodegeneration
- …
