• Title/Summary/Keyword: process of class L

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ON SELFSIMILAR AND SEMI-SELFSIMILAR PROCESSES WITH INDEPENDENT INCREMENTS

  • Sato, Ken-Iti;Kouji Yamamuro
    • Journal of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.207-224
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    • 1998
  • After the review of known results on the connections between selfsimilar processes with independent increments (processes of class L) and selfdecomposable distributions and between semi-selfsimilar processes with independent increments and semi-selfdecomposable distributions, dichotomy of those processes into transient and recurrent is discussed. Due to the lack of stationarity of the increments, transience and recurrence are not expressed by finiteness and infiniteness of mean sojourn times on bound sets. Comparison in transience-recurrence of the Levy process and the process of class L associated with a common distribution of class L is made.

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MULTIPLE Lp ANALYTIC GENERALIZED FOURIER-FEYNMAN TRANSFORM ON A FRESNEL TYPE CLASS

  • Chang, Seung Jun;Lee, Il Yong
    • Journal of the Chungcheong Mathematical Society
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    • v.19 no.1
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    • pp.79-99
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    • 2006
  • In this paper, we define a class of functional defined on a very general function space $C_{a,b}[0,T]$ like a Fresnel class of an abstract Wiener space. We then define the multiple $L_p$ analytic generalized Fourier-Feynman transform and the generalized convolution product of functionals on function space $C_{a,b}[0,T]$. Finally, we establish some relationships between the multiple $L_p$ analytic generalized Fourier-Feynman transform and the generalized convolution product for functionals in $\mathcal{F}(C_{a,b}[0,T])$.

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GENERALIZED ANALYTIC FOURIER-FEYNMAN TRANSFORMS AND CONVOLUTIONS ON A FRESNEL TYPE CLASS

  • Chang, Seung-Jun;Lee, Il-Yong
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.2
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    • pp.223-245
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    • 2011
  • In this paper, we de ne an $L_p$ analytic generalized Fourier Feynman transform and a convolution product of functionals in a Ba-nach algebra $\cal{F}$($C_{a,b}$[0, T]) which is called the Fresnel type class, and in more general class $\cal{F}_{A_1;A_2}$ of functionals de ned on general functio space $C_{a,b}$[0, T] rather than on classical Wiener space. Also we obtain some relationships between the $L_p$ analytic generalized Fourier-Feynman transform and convolution product for functionals in $\cal{F}$($C_{a,b}$[0, T]) and in $\cal{F}_{A_1,A_2}$.

SED modeling of the Class 0 protostar L1527 IRS

  • Baek, Giseon;Lee, Jeong-Eun
    • The Bulletin of The Korean Astronomical Society
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    • v.41 no.2
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    • pp.54.3-55
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    • 2016
  • We model the spectral energy distribution (SED) of the Class 0 protostar L1527 IRS using a dust continuum radiative transfer code RADMC-3D to study the initial condition of gravitational collapse. To constrain the envelope structure, we use the data obtained by Herschel /PACS, which covers the far-infrared regime ($55-190{\mu}m$) where the SED of L1527 IRS peaks. According to our modeling, a more flattened density profile fits the far-infrared SED of L1527 IRS better than the density profile of a rotating and infalling envelope. Thus, we employ the density structure of a Bonnor-Ebert sphere, which consists of the inner flat-topped and the outer power-law regions and is often used for describing the density structure of the youngest sources in the low mass star formation process. A Bonnor-Ebert sphere fits very well the observed SED at ${\lambda}$ > $10{\mu}m$, suggesting that L1527 IRS might collapse from an unstable Bonnor-Ebert sphere rather than a singular isothermal sphere.

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REFLECTED BSDE DRIVEN BY A L$\acute{E}$VY PROCESS WITH STOCHASTIC LIPSCHITZ COEFFICIENT

  • Lu, Wen
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1305-1314
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    • 2010
  • In this paper, we deal with a class of one-dimensional reflected backward stochastic differential equations driven by a Brownian motion and the martingales of Teugels associated with an independent L$\acute{e}$vy process having a stochastic Lipschitz coefficient. We derive the existence and uniqueness of solutions for these equations via Snell envelope and the fixed point theorem.

Design of High Efficiency CMOS Class E Power Amplifier for Bluetooth Applications

  • Chae Seung Hwan;Choi Young Shig;Choi Hyuk Hwan;Kim Sung Woo;Kwon Tae Ha
    • Proceedings of the IEEK Conference
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    • 2004.08c
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    • pp.499-502
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    • 2004
  • A two-stage Class E power amplifier operated at 2.44GHz is designed in 0.25-$\mu$m CMOS process for Class-l Bluetooth application. The power amplifier employs c1ass-E topology to exploit its soft-switching property for high efficiency. A preamplifter with common-mode configuration is used to drive the output-stage of Class-E type. The amplifier delivers 20-dBm output power with 70$\%$ PAE (power -added-efficiency) at 2-V supply voltage.

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An Object-Oriented Process Modeling for the Development of the Integrated Logistics Support (민간부문에서의 ILS 개발에 관한 연구 - 객체지향 물류 프로세스 모델링의 응용을 중심으로)

  • 고일상;김재전
    • The Journal of Society for e-Business Studies
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    • v.3 no.2
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    • pp.179-202
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    • 1998
  • This study reviews the concept of Integrated Logistic Support(ILS), ILS standards, ILS elements, and the processes of developing ILS elements and Logistics Support Analysis(LSA). It also examines the potentials of applying ILS development process to building CALS systems in commercial sectors in order to accomplish business process innovation and achieve life-cycle cost savings in product and equipment management. In order to utilize the ILS approach for commercial industries, we need customizing the process of Logistics Support Analysis defined in MIL-STD-1388-lA. The success of ILS implementation depends on the determination of the range of ILS elements in relation with the application environment, and the appropriate development of those elements. During the development process, in order to analyze and design logistics flow processes and supporting activities, we suggest the object-oriented logistics process modeling approach with basic concepts and constructs embedded in objects. Several diagrams including Class Diagram, Class-Instance Diagram, and Integrated Instance Diagram, are provided. Simple Steps to follow are suggested for the analysis and design of inter-organizational logistics flow and support processes. The outcomes of the study are expected to contribute to stimulating the utilization of ILS concepts and development process during building commercial CALS systems.

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𝔻-SOLUTIONS OF BSDES WITH POISSON JUMPS

  • Hassairi, Imen
    • Journal of the Korean Mathematical Society
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    • v.59 no.6
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    • pp.1083-1101
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    • 2022
  • In this paper, we study backward stochastic differential equations (BSDEs shortly) with jumps that have Lipschitz generator in a general filtration supporting a Brownian motion and an independent Poisson random measure. Under just integrability on the data we show that such equations admit a unique solution which belongs to class 𝔻.

Design of optimal multiplexed filter and an analysis on the similar discrimination for music notatins recognition (음악기보 인식을 위한 다중필터의 설계 및 유사판별 성능분석)

  • Yeun, Jin-Seon;Kim, Nam
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.34D no.6
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    • pp.65-74
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    • 1997
  • In this paper, SA-multiplexed filter is designed using SA (simulated ananealing) to recognize music notation patterns varying in size, shape, position and having considerably many similar shapes for optical pattern recognition system. This filter has correlation resutls at wanted location and can identify same class, classify similar class for scale-varianted or rotation-varianted music notation patterns havng learning process. Also, the optimum filter is oriented to analyze on the similar discrimination at acquired position using SA and enhances optical diffractive efficiency as well as peak beam intensity. Compared with POF *(phase only filter), cosine-BPOF(cosine-binary phase only filter), that has excellent discrimination capability even if the different rate is 0.1% quantitatively.

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Lp-SOLUTIONS FOR REFLECTED BSDES WITH TIME DELAYED GENERATORS

  • Zhou, Qing
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.793-819
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    • 2016
  • In this paper, we establish the existence and uniqueness of the solution for a class of reflected backward stochastic differential equations with time delayed generator (RBSDEs with time delayed generator, in short) in the case when the terminal value and the obstacle process are $L^p$-integrable with p ${\in}$]1, 2[ for a sufficiently small Lipschitz constant of the generator and the time horizon T.