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Semi-classical analysis on h-type groups Dedicated to Professor Jean-Yves Chemin on the Occasion of his 60th Birthday

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Science China Mathematics 2019年第6期62卷 1057-1086页

作者： Clotilde Fermanian Kammerer Véronique Fischer Université Paris-Est Laboratoire d’Analyse et de Mathématiques Appliquées (UMR 8050) Department of Mathematical Sciences University of Bath

In this paper, we develop semi-classical analysis on h-type groups. We define semi-classical pseudodifferential operators, prove the boundedness of their action on square integrable functions and develop a symbolic calculus. Then, we define the semi-classical measures of bounded families of square integrable functions which consist of a pair formed by a measure defined on the product of the group and its unitary dual, and by a field of trace class positive operators acting on the hilbert spaces of the representations. We illustrate the theory by analyzing examples, which show in particular that this semi-classical analysis takes into account the finite-dimensional representations of the group, even though they are negligible with respect to the Plancherel measure.

关键词： h-type groups semi-classical pseudodifferential operators semi-classical measures Wigner transform asymptotic analysis microlocal analysis

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Synthesis and characterization of h-type amphiphilic liquid crystalline block copolymers by ATRP

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Chinese Chemical Letters 2008年第2期19卷 237-240页

作者： Xin De Tang Long Cheng Gao Xing he Fan Qi Feng Zhou Institute of New Materials Shandong Jiaotong University Ji＇nan 250023 China Department of Polymer Science and Engineering College of Chemistry and Molecular Engineering Peking University Beijing 100871 China

h-type amphiphilic liquid crystalline block copolymers containing azobenzene were synthesized by atom transfer radical polymerization （ATRP）. Macroinitiators prepared by the esterification between poly（ethylene oxide）（PEG） and 2,2-dichloroacetyl chloride were utilized to initiate the polymerization of 6-[4-（4-ethoxyphenylazo）phenoxy]hexyl rnethacrylate （M6C）. The resulting macroinitiators and block copolymers were characterized by ^1h NMR, gel permeation chromatography （GPC）. Polarizing optical microscopy （POM） and differential scanning calorimetry （DSC） preliminarily revealed the liquid crystalline property of these block copolymers. This series of liquid crystalline block copolymers are promising in some areas, such as optical data storage, optical switch, and molecular devices.

关键词： h-type Amphiphilic Block copolymer Liquid crystalline property Atom transfer radical polymerization (ATRP)

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STUDIES ON NONLINEAR STABILITY OF ThREE-DIMENSIONAL h-type DISTURBANCE

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Acta Mechanica Sinica 2003年第6期19卷 517-526页

作者：王伟志唐登斌南京航空航天大学空气动力学系，210016 南京航空航天大学空气动力学系，210016

The three-dimensional h-type nonlinear evolution process for the problem of boundary layer stability is studied by using a newly developed method called parabolic stability equations (PSE).The key initial conditions for sub-harmonic disturbances are obtained by means of the secondary instability theory. The initial solutions of two-dimensional harmonic waves are expressed in Landau expansions. The numerical techniques developed in this paper, including the higher order spectrum method and the more effective algebraic mapping for dealing with the problem of an infinite region,increase the numerical accuracy and the rate of convergence greatly. With the predictor-corrector approach in the marching procedure, the normalization, which is very important for PSE method, is satisfied and the stability of the numerical calculation can be assured. The effects of different pressure gradients, including the favorable and adverse pressure gradients of the basic flow, on the "h-type"evolution are studied in detail. The results of the three-dimensional nonlinear "h-type" evolution are given accurately and show good agreement with the data of the experiment and the results of the DNS from the curves of the amplitude variation, disturbance velocity profile and the evolution of velocity.

关键词： three-dimensional disturbance h-type nonlinear stability boundary layer parabolic stability equations

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Equalities between h-type Indices and Definitions of Rational h-type Indicators

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Journal of Data and Information Science 2019年第1期4卷 22-31页

作者： Leo Egghe Yves Fassin Ronald Rousseau University of hasselt Department of Marketing Innovation and Organisation Faculty of Economics and Business Administration Ghent University University of Antwerp Faculty of Social Sciences KU Leuven Facultair Onderzoekscentrum ECOOM

Purpose: To show for which publication-citation arrays h-type indices are equal and to reconsider rational h-type indices. Results for these research questions fill some gaps in existing basic knowledge about h-type ***/methodology/approach: The results and introduction of new indicators are based on well-known ***: The research purpose has been reached: answers to the first questions are obtained and new indicators are defined. Research limitations: h-type indices do not meet the Bouyssou-Marchant independence *** implications: On the one hand, more insight has been obtained for well-known indices such as the h-and the g-index and on the other hand, simple extensions of existing indicators have been added to the bibliometric toolbox. Relative rational h-type indices are more useful for individuals than the existing absolute ***/value: Answers to basic questions such as "when are the values of two h-type indices equal" are provided. A new rational h-index is introduced.

关键词： h-index g-index Rational h-type indices Relative rational h-index Lotkaianframework

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Relationship between serum inflammatory response cytokines and the change of plaque properties in patients with h-type hypertension complicated by carotid atherosclerosis

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Journal of hainan Medical University 2017年第14期23卷 46-49页

作者： Li Lei Xiao-Fang Yang Department of Cardiology Yulin Hospital of Traditional Chinese Medicine in Shaanxi ProvinceYulin CityShaanxi Province719000 Department of Internal Medicine Baishui County Hospital in Shaanxi ProvinceWeinan CityShaanxi Province715600

Objective:To study the relationship between serum inflammatory response cytokines and the change of plaque properties in patients with h-type hypertension complicated by carotid ***: Patients who were diagnosed with h-type hypertension complicated by carotid atherosclerosis in Yulin hospital of Traditional Chinese Medicine between May 2014 and December 2016 were selected as group A, patients with h-type hypertension complicated by carotid atherosclerosis and normal hcy levels were selected as group B, patients with carotid atherosclerosis and normal blood pressure levels and hcy levels were selected as group C, and healthy volunteers during the same period were selected as control group. Serum levels of inflammatory response cytokines and plaque property-related cytokines were ***: Serum hcy, sICAM-1, MCP-1, YKL-40, IL-6, PTX3, FGF23, MMP9 and Caspase-3 levels of group A, group B and group C were significantly higher than those of group D, serum hcy, sICAM-1, MCP-1, YKL-40, IL-6, PTX3, FGF23, MMP9 and Caspase-3 levels of group A and group B were significantly higher than those of group C, and serum hcy, sICAM-1, MCP-1, YKL-40, IL-6, PTX3, FGF23, MMP9 and Caspase-3 levels of group A were significantly higher than those of group B;serum hcy, sICAM-1, MCP-1, YKL-40, IL-6, PTX3, FGF23, MMP9 and Caspase-3 levels of group A with vulnerable plaques were significantly higher than those of patients with stable plaques. Serum hcy, sICAM-1, MCP-1, YKL-40 and IL-6 levels of group A were positively correlated with PTX3, FGF23, MMP9 and Caspase-3 ***: Serum inflammatory response cytokine secretion increases in patients with h-type hypertension complicated by carotid atherosclerosis, and it can result in the change in plaque properties and the decrease in stability.

关键词： h-type hypertension Carotid atherosclerosis Inflammatory response Cytokine

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