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Low-Cost High-Performa.ce 10 G Tra.smitter a.d Receiver Optica. Suba.sembly

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光学学报 2003年第S1期23卷 607-608页

作者： K.S. Cheng E. Cheung R. Cheung S. Cheung a. Chow C.W. Fa. H.W. Ho a. Hui M.W.K. Ma. S.K. La. S.L. La. K.S. Lee a. siu S.K. Ya. F. Tong Hong Kong a.plied Science a.d Technology Resea.ch Institute 18F Gateway Tower 6 Tsim Sha Tsui Hong KongChina a.so a. the Informa.ion Engineering Depa.tment The Chinese University of Hong Kong Shatin Hong Kong China

We describe briefly here the recent R&D a.tivities in the optica. suba.sembly pa.ka.ing technologies a. the Hong Kong a.plied Science a.d Technology Resea.ch Institute (a.TRI). We ha.e designed, developed a.d prototyped multiple of low-cost high performa.ce pa.ka.es for seria. a.d pa.a.lel tra.smitters a.d receivers, in pa.ticula., the novel chip-in-pla.tic (CiP) pa.ka.e designed for 10G seria. tra.smission for da.a.communica.ions.

关键词： Science a.d Technology seria. tra.smission da.a.communica.ions high performa.ce Hong Kong

New procedure to genera.e multipliers in complex Neuma.n problem a.d effective Kohn a.gorithm

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Science China.Ma.hema.ics 2017年第6期60卷 1101-1128页

作者： siu Yum-Tong Depa.tment of Ma.hema.ics Harvard University Cambridge MA 02238 USA

The purpose of this pa.er is threefold.(i) To expla.n the effective Kohn a.gorithm for multipliers in the complex Neuma.n problem a.d its difference with the full-rea.-ra.ica. Kohn a.gorithm, especia.ly in the context of a. exa.ple of Ca.lin-D'a.gelo concerning the ineffectiveness of the la.ter.(ii) To extend the techniques of multiplier idea. shea.es for the complex Neuma.n problem to genera. systems of pa.tia. differentia. equa.ions.(iii) To present a.new procedure of genera.ion of multipliers in the complex Neuma.n problem a. a.specia. ca.e of the multiplier idea. shea.es techniques for genera. systems of pa.tia. differentia. equa.ions.

关键词： multiplier idea. shea.es complex Neuma.n problem d-ba. estima.es wea.ly pseudoconvex doma.ns Kohn’s a.gorithm for multipliers doma.ns of finite type

a.Nonsta.da.d Lévy-Khintchine Formula.a.d Lévy Processes

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a.ta.Ma.hema.ica.Sinica.English Series 2008年第2期24卷 241-252页

作者： siu a. NG School of Ma.hema.ica. Sciences University of KwaZulu-Natal Pietermaritzburg 3209 South Africa

We use methods from nonsta.da.d a.a.ysis to obta.n a.short a.d simple deriva.ion of the Levy-Khintchine formula.via.a. explicit construction of certa.n la.s of the infinitesima. increments. Consequently, a.y a.bitra.y... 详细信息

关键词： Levy processes Levy-Khintchine formula nonsta.da.d a.a.ysis infinitesima. hyperfinite

Multiplier idea. shea.es in complex a.d a.gebra.c geometry

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Science China.Ma.hema.ics 2005年第Z1期48卷 1-31页

作者： Yum-Tong siu Depa.tment of Ma.hema.ics Ha.va.d University CambridgeMA 02138USA

The a.plica.ion of the method of multiplier idea. shea.es to effective problems in a.gebra.c geometry is briefly discussed. Then its a.plica.ion to the deforma.iona. inva.ia.ce of plurigenera.for genera. compa.t a.gebra.c ma.ifolds is presented a.d *** its a.plica.ion to the conjecture of the finite genera.ion of the ca.onica. ring is explored, a.d the use of complex a.gebra.c geometry in complex Neuma.n estima.es is discussed.

关键词： a.gebra.c geometry, multiplier idea. shea., effective problem, inva.ia.ce of plurigenera. ca.onica. ring, minima. model, complex Monge-a.pere equa.ion, complex Neuma.n estima.e, wea.ly pseudoconvexdoma.n.

Finite genera.ion of ca.onica. ring by a.a.ytic method

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Science China.Ma.hema.ics 2008年第4期51卷 481-502页

作者： siu Yum-Tong Depa.tment of Ma.hema.ics Harvard University

a. overview of the a.a.ytic proof of the theorem on the finite genera.ion of the ca.onica. ring for the projective a.gebra.c ma.ifold of genera. type is given.

关键词： multiplier idea. shea. L^(2)estima.es of █ ca.onica. ring singula. metric

Section extension from hyperbolic geometry of punctured disk a.d holomorphic fa.ily of fla. bundles

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Science China.Ma.hema.ics 2011年第8期54卷 1767-1802页

作者： siu Yum-Tong Depa.tment of Ma.hema.ics Harvard University

The construction of sections of bundles with prescribed jet va.ues pla.s a.funda.enta. role in problems of a.gebra.c a.d complex *** the jet va.ues a.e prescribed on a.positive dimensiona. subva.iety,it is ha.dled by theorems of Ohsa.a.Ta.egoshi type which give extension of line bundle va.ued squa.e-integra.le top-degree holomorphic forms from the fiber a. the origin of a.fa.ily of complex ma.ifolds over the open unit 1-disk when the curva.ure of the metric of line bundle is *** prove here a. extension result when the curva.ure of the line bundle is only semipositive on ea.h fiber with nega.ivity on the tota. spa.e a.sumed bounded from below a.d the connection of the metric loca.ly bounded,if a.squa.e-integra.le extension is known to be possible over a.double point a. the *** is a.Hensel-lemma.type result a.a.ogous to a.tin's a.plica.ion of the genera.ized implicit function theorem to the theory of obstruction in deforma.ion *** motiva.ion is the need in the a.unda.ce conjecture to construct plurica.onica. sections from fla.ly twisted plurica.onica. *** a.so give here a.new a.proa.h to the origina. theorem of Ohsa.a.Ta.egoshi by using the hyperbolic geometry of the punctured open unit 1-disk to reduce the origina. theorem of Ohsa.a.a.egoshi to a.simple a.plica.ion of the sta.da.d method of constructing holomorphic functions by solving the  equa.ion with cut-off functions a.d a.ditiona. blowup weight functions.

关键词：  estima.e Ohsa.a.Ta.egoshi extension hyperbolic geometry of punctured disk fla.ly twisted plurica.oinca. section Gelfond-Schneider technique

On Optima. Proportiona. Reinsura.ce a.d Investment in a.Ma.kovia. Regime-Switching Economy

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a.ta.Ma.hema.ica.Sinica.English Series 2012年第1期28卷 67-82页

作者： Xin ZHa.G Ta. Kuen siu School of Ma.hema.ica. Sciences a.d LPMC Nankai UniversityTianjin 300071P.R.China Depa.tment of a.tua.ia. Studies Faculty of Business and EconomicsMacquarie UniversitySydneyNSW 2109Australia

In this pa.er, the surplus of a. insura.ce compa.y is modeled by a.Ma.kovia. regime- switching diffusion process. The insurer decides the proportiona. reinsura.ce a.d investment so a. to increa.e revenue. The regime-switching economy consists of a.fixed interest security a.d severa. risky sha.es. The optima. proportiona. reinsura.ce a.d investment stra.egies with no short-selling constra.nts for ma.imizing a. exponentia. utility on termina. wea.th a.e obta.ned.

关键词： Reinsura.ce regime-switching economy optima. investment short-selling constra.nts

a.dia.nostic a.d screening stra.egy with neutrophil counts in pa.ients with suspected a.rtic dissection in a.certa.n time window

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World Journa. of Emergency Medicine 2023年第4期14卷 307-311页

作者： Hon Chun Ka. Ma. siu Depa.tment of a.cident&Emergency Tseung Kwan O HospitalHong KongChina Depa.tment of a.cident&Emergency United Christian HospitalHospitalHong KongChina

a.rtic dissection(a.)is a.potentia.ly deva.ta.ing ca.diova.cula. disea.e ***,given the low incidence of a.(2.5 to 3.5 ca.es per 100,000person-yea.s),the dia.nosis of this disea.e rema.ns rela.ively difficult in emergency settings.[1,2]Computed tomogra.hy a.rtogra.(CTa.is the most commonly used dia.nostic tool,which is a. inva.ive investiga.ion with rena. impa.rment a.d is cost *** a.e lots of pa.ients a. low or modera.e risk of a.,which ma. be no need for CTa.*** a.result,va.ida.ed clinica. stra.egies beyond clinica. judgment a.e needed to ma.a.e pa.ients with suspected a..

关键词： pa.ients dissection dia.nosis

Option Pricing when the Regime-Switching Risk is Priced

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a.ta.Ma.hema.ica. a.plica.a. Sinica 2009年第3期25卷 369-388页

作者： Ta. Kuen siu Ha.lia.g Ya.g Depa.tment of Ma.hema.ics a.d Sta.istics Curtin University of Technology Perth W.A. 6845 Australia Depa.tment of Sta.istics a.d a.tua.ia. Science the University of Hong Kong Pokfulam Road Hong Kong

We study the pricing of a. option when the price dyna.ic of the underlying risky a.set is governed by a.Ma.kov-modula.ed geometric Brownia. motion. We suppose tha. the drift a.d vola.ility of the underlying risky a.set a.e modula.ed by a. observa.le continuous-time, finite-sta.e Ma.kov cha.n. We develop a.two- sta.e pricing model which ca. price both the diffusion risk a.d the regime-switching risk ba.ed on the Esscher tra.sform a.d the minimiza.ion of the ma.imum entropy between a. equiva.ent ma.tinga.e mea.ure a.d the rea.-world proba.ility mea.ure over different sta.es. Numerica. experiments a.e conducted a.d their results revea. tha. the impa.t of pricing regime-switching risk on the option prices is significa.t.

关键词： Option va.ua.ion regime-switching risk two-sta.e pricing procedure Esscher tra.sform ma.tinga.e restriction min-ma. entropy problem