This paper considers the differentiability of C 0 semigroups with respect to (w.r.t.) parameters contained in their infinitesimal generators.It is proved that the generalized continuity and strong differentiability ...This paper considers the differentiability of C 0 semigroups with respect to (w.r.t.) parameters contained in their infinitesimal generators.It is proved that the generalized continuity and strong differentiability of their infinitesimal generators w.r.t.parameters imply the differentiability of the C 0 semigroups.The results are applied to the differentiability of the solution of a linear delay differential equation w.r.t.its delays.展开更多
In this paper,we study complex symmetric C0-semigroups on the Bergman space A^2(C+) of the right half-plane C+.In contrast to the classical case,we prove that the only involutive composition operator on A^2(C+) is the...In this paper,we study complex symmetric C0-semigroups on the Bergman space A^2(C+) of the right half-plane C+.In contrast to the classical case,we prove that the only involutive composition operator on A^2(C+) is the identity operator,and the class of J-symmetric composition operators does not coincide with the class of normal composition operators.In addition,we divide semigroups{φt}of linear fractional self-maps of C+into two classes.We show that the associated composition operator semigroup{Tt}is strongly continuous and identify its infinitesimal generator.As an application,we characterize Jσ-symmetric C0-semigroups of composition operators on A^2(C+).展开更多
It is proved that a system under compact perturbation cannot be uniformly exponentially stable for an isometric C0-semigroup or a C0-group with polynomial growth for negative time in a Banach space. The results extend...It is proved that a system under compact perturbation cannot be uniformly exponentially stable for an isometric C0-semigroup or a C0-group with polynomial growth for negative time in a Banach space. The results extend and improve the corresponding results of previous literature.展开更多
In this paper,we study the complex symmetric C_(0)-semigroups of weighted composition operators W_(ψ,φ)on the weighted Hardy spaces H_(γ) of the unit disk D.It is well-known that there are only two classes of weigh...In this paper,we study the complex symmetric C_(0)-semigroups of weighted composition operators W_(ψ,φ)on the weighted Hardy spaces H_(γ) of the unit disk D.It is well-known that there are only two classes of weighted composition conjugations A_(u,v) on H_(γ)(D):either C_(1) or C_(2).We completely characterize C_(1)-symmetric(C_(2)-symmetric)C_(0)-semigroups of weighted composition operators W_(ψ,φ) on H_(γ)(D).展开更多
In this paper, the existence, uniqueness, and asymptotic behavior of the solution of the density evolution equation for M/M/∞ model was studied by the semigroup theory of linear operators.
Capacitor-less 2T0C dynamic random-access memory(DRAM)employing oxide semiconductors(OSs)as a channel has great potential in the development of highly scaled three dimensional(3D)-structured devices.However,the use of...Capacitor-less 2T0C dynamic random-access memory(DRAM)employing oxide semiconductors(OSs)as a channel has great potential in the development of highly scaled three dimensional(3D)-structured devices.However,the use of OS and such device structures presents certain challenges,including the trade-off relationship between the field-effect mobility and stability of OSs.Conventional 4-line-based operation of the 2T0C enlarges the entire cell volume and complicates the peripheral circuit.Herein,we proposed an IGO(In-Ga-O)channel 2-line-based 2T0C cell design and operating sequences comparable to those of the conventional Si-channel 1 T1C DRAM.IGO was adopted to achieve high thermal stability above 800℃,and the process conditions were optimized to simultaneously obtain a high μFE of 90.7 cm^(2)·V^(-)1·s^(-1),positive Vth of 0.34 V,superior reliability,and uniformity.The proposed 2-line-based 2T0C DRAM cell successfully exhibited multi-bit operation,with the stored voltage varying from 0 V to 1 V at 0.1 V intervals.Furthermore,for stored voltage intervals of 0.1 V and 0.5 V,the refresh time was 10 s and 1000 s in multi-bit operation;these values were more than 150 and 15000 times longer than those of the conventional Si channel 1T1C DRAM,respectively.A monolithic stacked 2-line-based 2T0C DRAM was fabricated,and a multi-bit operation was confirmed.展开更多
DRAM作为计算机存储系统的核心组件,在HPC、云计算、AI等领域至关重要。然而,传统1T1C DRAM受电容缩放瓶颈、刷新功耗及制造复杂度等问题限制,难以满足先进制程需求。2T0C DRAM采用双晶体管架构,利用浮体效应、栅极耦合等机制存储电荷,...DRAM作为计算机存储系统的核心组件,在HPC、云计算、AI等领域至关重要。然而,传统1T1C DRAM受电容缩放瓶颈、刷新功耗及制造复杂度等问题限制,难以满足先进制程需求。2T0C DRAM采用双晶体管架构,利用浮体效应、栅极耦合等机制存储电荷,实现高密度、低功耗及工艺兼容性提升。本研究分析2T0C DRAM的技术原理、结构设计及其相较于1T1C DRAM的优势,探讨数据保持、读写干扰、工艺变异等挑战,并综述器件优化、电路创新及先进制造工艺的应对策略。此外,结合CIM、3D集成等趋势,探讨其在HPC、嵌入式及新型存储中的应用价值。当前,三星、美光等厂商已展开2T0C DRAM研发,预计未来逐步进入量产。随着半导体工艺演进,2T0C DRAM有望成为下一代高密度、低功耗存储技术。然而,量子效应、工艺适配及产业链完善仍是关键挑战。未来研究将聚焦器件微缩、存算一体及异质集成,推动2T0C DRAM发展与产业化进程。As a core component of computer memory systems, DRAM plays a critical role in HPC, cloud computing, and AI. However, traditional 1T1C DRAM faces challenges such as capacitor scaling limitations, high refresh power consumption, and increasing fabrication complexity, restricting its scalability in advanced process nodes. To address these issues, 2T0C DRAM adopts a two-transistor architecture, utilizing floating-body effects and gate coupling mechanisms to store charge, thereby enhancing storage density, reducing power consumption, and improving process compatibility. This study analyzes the technical principles and structural design of 2T0C DRAM, highlighting its advantages over 1T1C DRAM while addressing challenges such as data retention, read/write disturbances, and process variations. Various optimization strategies, including device engineering, circuit design innovations, and advanced fabrication techniques, are also reviewed. Furthermore, considering emerging trends like CIM and 3D integration, we explore the potential applications of 2T0C DRAM in HPC, embedded systems, and next-generation memory technologies. Currently, leading memory manufacturers such as Samsung and Micron have initiated research on 2T0C DRAM, with commercialization expected in the near future. With the continuous advancement of semiconductor technology, 2T0C DRAM is poised to become a key candidate for next-generation high-density, low-power memory solutions. However, challenges such as quantum effects, process adaptation, and supply chain maturity remain critical. Future research will focus on device scaling, in-memory computing, and heterogeneous integration to accelerate the development and industrialization of 2T0C DRAM.展开更多
文摘This paper considers the differentiability of C 0 semigroups with respect to (w.r.t.) parameters contained in their infinitesimal generators.It is proved that the generalized continuity and strong differentiability of their infinitesimal generators w.r.t.parameters imply the differentiability of the C 0 semigroups.The results are applied to the differentiability of the solution of a linear delay differential equation w.r.t.its delays.
文摘In this paper,we study complex symmetric C0-semigroups on the Bergman space A^2(C+) of the right half-plane C+.In contrast to the classical case,we prove that the only involutive composition operator on A^2(C+) is the identity operator,and the class of J-symmetric composition operators does not coincide with the class of normal composition operators.In addition,we divide semigroups{φt}of linear fractional self-maps of C+into two classes.We show that the associated composition operator semigroup{Tt}is strongly continuous and identify its infinitesimal generator.As an application,we characterize Jσ-symmetric C0-semigroups of composition operators on A^2(C+).
基金Project of Sichuan Provincial Science and Technology Department (No.2007J13-006)
文摘It is proved that a system under compact perturbation cannot be uniformly exponentially stable for an isometric C0-semigroup or a C0-group with polynomial growth for negative time in a Banach space. The results extend and improve the corresponding results of previous literature.
文摘In this paper,we study the complex symmetric C_(0)-semigroups of weighted composition operators W_(ψ,φ)on the weighted Hardy spaces H_(γ) of the unit disk D.It is well-known that there are only two classes of weighted composition conjugations A_(u,v) on H_(γ)(D):either C_(1) or C_(2).We completely characterize C_(1)-symmetric(C_(2)-symmetric)C_(0)-semigroups of weighted composition operators W_(ψ,φ) on H_(γ)(D).
文摘In this paper, the existence, uniqueness, and asymptotic behavior of the solution of the density evolution equation for M/M/∞ model was studied by the semigroup theory of linear operators.
基金supported by the Technology Innovation Program(Grant Nos.20017382 and 20023023)funded by the Ministry of Trade,Industry&Energy(MOTIE,Republic of Korea)supported by a National Research Foundation of Korea(NRF)grant funded by the Korean Government(MSIT)(Grant No.RS-2023-00260527).
文摘Capacitor-less 2T0C dynamic random-access memory(DRAM)employing oxide semiconductors(OSs)as a channel has great potential in the development of highly scaled three dimensional(3D)-structured devices.However,the use of OS and such device structures presents certain challenges,including the trade-off relationship between the field-effect mobility and stability of OSs.Conventional 4-line-based operation of the 2T0C enlarges the entire cell volume and complicates the peripheral circuit.Herein,we proposed an IGO(In-Ga-O)channel 2-line-based 2T0C cell design and operating sequences comparable to those of the conventional Si-channel 1 T1C DRAM.IGO was adopted to achieve high thermal stability above 800℃,and the process conditions were optimized to simultaneously obtain a high μFE of 90.7 cm^(2)·V^(-)1·s^(-1),positive Vth of 0.34 V,superior reliability,and uniformity.The proposed 2-line-based 2T0C DRAM cell successfully exhibited multi-bit operation,with the stored voltage varying from 0 V to 1 V at 0.1 V intervals.Furthermore,for stored voltage intervals of 0.1 V and 0.5 V,the refresh time was 10 s and 1000 s in multi-bit operation;these values were more than 150 and 15000 times longer than those of the conventional Si channel 1T1C DRAM,respectively.A monolithic stacked 2-line-based 2T0C DRAM was fabricated,and a multi-bit operation was confirmed.
文摘DRAM作为计算机存储系统的核心组件,在HPC、云计算、AI等领域至关重要。然而,传统1T1C DRAM受电容缩放瓶颈、刷新功耗及制造复杂度等问题限制,难以满足先进制程需求。2T0C DRAM采用双晶体管架构,利用浮体效应、栅极耦合等机制存储电荷,实现高密度、低功耗及工艺兼容性提升。本研究分析2T0C DRAM的技术原理、结构设计及其相较于1T1C DRAM的优势,探讨数据保持、读写干扰、工艺变异等挑战,并综述器件优化、电路创新及先进制造工艺的应对策略。此外,结合CIM、3D集成等趋势,探讨其在HPC、嵌入式及新型存储中的应用价值。当前,三星、美光等厂商已展开2T0C DRAM研发,预计未来逐步进入量产。随着半导体工艺演进,2T0C DRAM有望成为下一代高密度、低功耗存储技术。然而,量子效应、工艺适配及产业链完善仍是关键挑战。未来研究将聚焦器件微缩、存算一体及异质集成,推动2T0C DRAM发展与产业化进程。As a core component of computer memory systems, DRAM plays a critical role in HPC, cloud computing, and AI. However, traditional 1T1C DRAM faces challenges such as capacitor scaling limitations, high refresh power consumption, and increasing fabrication complexity, restricting its scalability in advanced process nodes. To address these issues, 2T0C DRAM adopts a two-transistor architecture, utilizing floating-body effects and gate coupling mechanisms to store charge, thereby enhancing storage density, reducing power consumption, and improving process compatibility. This study analyzes the technical principles and structural design of 2T0C DRAM, highlighting its advantages over 1T1C DRAM while addressing challenges such as data retention, read/write disturbances, and process variations. Various optimization strategies, including device engineering, circuit design innovations, and advanced fabrication techniques, are also reviewed. Furthermore, considering emerging trends like CIM and 3D integration, we explore the potential applications of 2T0C DRAM in HPC, embedded systems, and next-generation memory technologies. Currently, leading memory manufacturers such as Samsung and Micron have initiated research on 2T0C DRAM, with commercialization expected in the near future. With the continuous advancement of semiconductor technology, 2T0C DRAM is poised to become a key candidate for next-generation high-density, low-power memory solutions. However, challenges such as quantum effects, process adaptation, and supply chain maturity remain critical. Future research will focus on device scaling, in-memory computing, and heterogeneous integration to accelerate the development and industrialization of 2T0C DRAM.
