245 research outputs found

    Partial Information Differential Games for Mean-Field SDEs

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    This paper is concerned with non-zero sum differential games of mean-field stochastic differential equations with partial information and convex control domain. First, applying the classical convex variations, we obtain stochastic maximum principle for Nash equilibrium points. Subsequently, under additional assumptions, verification theorem for Nash equilibrium points is also derived. Finally, as an application, a linear quadratic example is discussed. The unique Nash equilibrium point is represented in a feedback form of not only the optimal filtering but also expected value of the system state, throughout the solutions of the Riccati equations.Comment: 7 page

    Self-awareness: A dynamic poster design about self-awareness child development

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    Self-awareness is a psychological state in which we see ourselves truthfully and objectively through introspection and reflection. As 90s generation, we are the newest generation of “Chinese-style” individualism, but most of us do not have knowledge of self-awareness. We probably do not acknowledge our strengths and weaknesses, do not accept ourselves, and have no sense of what we do and others think of us. According to our research” says organizational psychologist and researcher Tasha Eurich, “with thousands of people from all around the world, 95 percent of people believe that they’re self-aware, but only about 10 to 15 percent really are (Benjamin 2019).” Lack of self-awareness can make an unexpected harmful impact on people’s career, and life. When you lack self-awareness, you often feel constantly off-kilter, anxious, or angry, and everything in life becomes harder— especially dealing with people (Tepfenhart 2019). The purpose of the thesis is to help people have a deeper, more complex appreciation of who they are. My artwork is a series of dynamic posters based on motion graphics presenting audience with fascinating insights into five levels of self-awareness child development and how to see ourselves clearly. It is aimed at guiding audience to experienced the formation of self-awareness again and encourage audience to cultivate this psychology state

    Speed optimization and capacitor mismatch calibration for high-resolution high-speed pipelined A/D converters

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    制度:新 ; 報告番号:甲2671号 ; 学位の種類:博士(工学) ; 授与年月日:2008/9/15 ; 早大学位記番号:新484

    Fully coupled forward-backward stochastic differential equations driven by sub-diffusions

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    In this paper, we establish the existence and uniqueness of fully coupled forward-backward stochastic differential equations (FBSDEs in short) driven by anomalous sub-diffusions BLtB_{L_t} under suitable monotonicity conditions on the coefficients. Here BB is a Brownian motion on R\bf R and Lt:=inf{r>0:Sr>t}L_t:= \inf\{r>0: S_r>t\}, t0,t\geq 0, is the inverse of a subordinator SS with drift κ>0\kappa >0 that is independent of BB. Various a priori estimates on the solutions of the FBSDEs are also presented
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