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Top 10 Influential Events in carbon neutrality and climate change response for 2023

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Frontiers in Energy 2024年第1期18卷 1-3页

作者： Research institute of Carbon Neutrality of shanghai Jiao Tong university Research institute of Carbon Neutrality Shanghai Jiao Tong UniversityShanghai 200240China

In 2023, the global community intensified its efforts towards achieving carbon neutrality and addressing climate change, witnessing several impactful events. Research institute of Carbon Neutrality, shanghai Jiao Tong university compiled the Top 10 Events (in chronological order) in the field of global carbon neutrality and climate change response for 2023, to share with readers these significant moments that document the ongoing ambition and collective efforts of human society.

关键词： neutral collective intensified

STABILITY OF IMPULSIVE LINEAR HYBRID SYSTEMS WITH TIME DELAY

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Journal of Systems Science & Complexity 2010年第4期23卷 738-747页

作者： Yu ZHANG·Jitao SUN Department of mathematics,tongji university,shanghai 200092,china. JitaoSUN Department of mathematics Tongji University

This paper investigates the stability of impulsive linear hybrid systems with time *** a number of delay-independent/delay-dependent stability criteria are obtained by using Lyapunovfunctions or Lyapunov *** examples ... 详细信息

关键词： Impulsive linear hybrid system Lyapunov function Lyapunov functional time delay.

A NUMERICAL METHOD FOR DETERMINING THE OPTIMAL EXERCISE PRICE TO AMERICAN OPTIONS

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Journal of Computational mathematics 2003年第3期21卷 305-310页

作者： Xiong-hua Wu Xiu-juan Feng (Department of Applied mathematics, tongji university, shanghai 200092, china ) Department of Applied mathematics Tongji University 上海 800092

American options can be exercised prior to the date of expiration, the valuation of American options then constitutes a free boundary value problem. How to determine the free boundary, i.e. the optimal exercise price, is a key problem. In this paper, a nonlinear equation is given. The free boundary can be obtained by solving the nonlinear equation and the numerical results are better.

关键词： American options Free boundary Optimal exercise price Nonlinear equation.

The pricing of perpetual convertible bond with credit risk

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Applied mathematics(A Journal of Chinese Universities) 2010年第3期25卷 277-290页

作者： WANG Le-le BIAN Bao-jun Department of mathematics, tongji university, shanghai 200092, china Department of mathematics Tongji University Shanghai China

Convertible bond gives holder the right to choose a conversion strategy to maximize the bond value, and issuer also has the right to minimize the bond value in order to maximize equity value. When there is default occurring, conversion and calling strategies are invalid. In the framework of reduced form model, we reduce the price of convertible bond to variational inequalities, and the coefficients of variational inequalities are unbounded at the original point. Then the existence and uniqueness of variational inequality are proven. Finally, we prove that the conversion area, the calling area and the holding area are connected subsets of the state space.

关键词： Convertible bond default risk optimal stopping problem variational inequality free boundary.

Dependence of binaural loudness summation on interaural level difference and frequency for pure tones

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Science china(Physics,Mechanics & Astronomy) 2010年第5期53卷 834-841页

作者： ZHANG Jie & MAO DongXing institute of Acoustics,tongji university,shanghai 200092,china 1. institute of Acoustics Tongji University Shanghai 200092 China

Most of the existing loudness models are based on the diotic listening hypothesis,though human beings always hear in dichotic listening *** this situation,the arithmetic mean of loudness at both ears is usually taken as the approximate value of overall perceived loudness,unaffected by the interaural level difference(ILD).The present work investigated the overall perceived loudness for pure tones in dichotic listening conditions through a subjective *** experimental procedures and systematic errors were investigated to prove the accuracy of the subjective *** results showed that fluctuation was insignificant in the low frequency range,while apparent fluctuation of overall loudness could be observed at a high *** overall loudness deviated from the arithmetic mean value as the ILD became larger.A revised model for overall loudness in dichotic listening conditions was *** proposed model and experiment are consistent.

关键词： dichotic listening subjective experiment interaural level difference overall perceived loudness loudness model

HARMONIC FUNCTIONS ON A COMPLETE NONCOMPACT MANIFOLD WITH ASYMPTOTICALLY NONNEGATIVE CURVATURE

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Chinese Annals of mathematics,Series B 2004年第4期25卷 523-532页

作者： ZHOUCHAOHUI CHENZHIHUA DepartmentofAppliedmathematics TongjiUniversityShanghai200092China.

The authors prove the space of harmonic functions with polynomial growth of a fixed rate on a complete noncompact Riemannian manifold with asymptotically nonnegative curvature is finite dimensional.

关键词： Harmonic function Asymptotically nonnegative curvature Polynomial growth

AN EMBEDDING THEOREM BETWEEN SPECIAL LINEAR GROUPS OVER ANY FIELDS

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Chinese Annals of mathematics,Series B 1995年第4期16卷 477-486页

作者： ZHA JIANGUO (Departmellt of Applied mathematics, tongji university, shanghai 200092, china.) tongji UNIV DEPT MATH APPLSHANGHAI 200092PEOPLES R CHINA

Abstract homomorphisms between subgroups of algebraic groups were studied in detail by ***, ***.[1] and ***.[2] provided that the images of the homomorphisms are Zariski dense subsets and that the fields over which algebraic groups are defined are infinite. The purpose of this paper is to determine all embedding homomorphisms of SLn(k) into SLn(K) when k and K are any fields of the same characteristic, without assumption of Zariski density and infinitude of fields. The result in this paper generalizes a result of Chen Yu on homomorphisms of two dimensional linear groups[3].

关键词： Classical groups Homomorphisms Field

A Jacobi-Eisenstein series of weight two on congruence Jacobi subgroup

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Science china mathematics 2010年第9期53卷 2405-2410页

作者： LU HongWen & ZHOU HaiGang Department of mathematics,tongji university,shanghai 200092,china 1. Department of mathematics Tongji University Shanghai 200092 China

The specific aims of this paper are to define a Jacobi-Eisenstein series of weight two on congruence Jacobi subgroup and to compute its Fourier expansion coefficients in *** overcome the difficulties that the Jacobi-E... 详细信息

关键词： Jacobi forms Eisenstein series Fourier expansion

Transformation law and trace formula on theta series under Siegel modular group

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Progress in Natural Science:Materials International 2005年第11期15卷 1050-1052页

作者： LU Hongwen and ZHOU Haigang (Department of Applied mathematics, tongji university, shanghai 200092, china) Department of Applied mathematics Tongji University Shanghai 200092 China

The purpose of this paper is to discuss symplectic transformation laws on theta series and give an explicit formula for trace of the symplectic operator

关键词： theta series symplectic transformation law trace formula.