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書名:錢敏數學文選
ISBN:9787301337547
出版社:北京大學
著編譯者:北京大學數學科學學院編
頁數:432頁
所在地:中國大陸 *此為代購商品書號:1532722
可大量預訂,請先連絡。內容簡介
錢敏先生1927年3月出生於江蘇無錫。1944年至1946年就讀於成都金陵大學,1946年至1949年就讀於清華大學,1949年畢業后留校擔任助教。1950年至1951年到北京大學學習,1951年至1952年任燕京大學助教,1952年入職北京大學,先後擔任講師、副教授、教授、博士生導師,1997年6月退休。2019年逝世。 錢敏先生在教書育人方面傾注了大量心血,在科研方面探索不斷,與人共同提出馬氏過程的環流理論及熵產生的概率定義。2013年榮獲中國數學會第十一屆華羅庚數學獎。 本書收錄錢敏先生代表性的學術論文若干,選目見附件。
目錄
1 The decomposition into a detailed balance part and a circulation part of an irreversible stationary markov chain
2 橢圓型運算元的擴張及C半群
3 馬爾可夫半群的不變測度與遍歷性
4 Markov chain as a model of hill's theory on circulation
5 Circulation distribution of a markov chain—cycle skipping rate and decomposition according to probability meaning
6 Circulation for recurrent markov chains
7 非自治系統的不變圈(解流形)分支
8 Circulations of markov chains with continuous time and the probability interpretation of some determinants
9 Minimal coupled diffusion process
10 Global behavior in the dynamical equation of J-J type
11 Generalized weyl transformation
12 Reversible diffusion process and Einstein relation
13 Coherent states, inverse mapping formula for Weyl transformations and application to equations of KdV type
14 A new type of Hopf algebra which is neither commutative nor cocommutative
15 Gauge invariant quantization on Riemannian manifolds
16 Boson realizations of quantum algebras and some physical spaces with quantum algebra symmetry
17 Ruelle's inequality for the entropy of diffusion processes
18 Bosonic Fock representations of the affine-Virasoro algebra
19 Ergodic theory for axiom A endomorphisms
20 The entropy production of diffusion processes on manifolds and its circulation decompositions
21 Entropy production and information gain in axiom a systems
22 Unbounded one-dimensional global attractor for the damped sine-gordon equation
23 SRB measures and Pesin's entropy formula for endomorphisms
24 Entropy formula of Pesin type for one-sided stationary random maps
25 The duality theory of a finite dimensional discrete quantum group
26 Non-equilibrium of a general stochastic system of coupled oscillators entropy production rate and rotation numbers
27 A simple discrete model of brownian motors time-periodic markov chains
28 Generalized Jarzynski's Equality in Inhomogeneous Markov Chains
29 Holomorphic Harmonic Analysis on Complex Reductive Groups
30 Synchronized Dynamics and Non-Equilibrium Steady States in a Stochastic Yeast Cell-cycle Network
31 Circular Stochastic Fluctuations in SIS Epidemics with Heterogeneous Contacts among Sub-populations
32 Stochastic Dynamics of Electrical Membrane with Voltage-Dependention Channel Fluctuations
錢敏先生論著
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