北京大学数学科学学院

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1952年秋，全国高等学校进行了院系调整。北京大学数学系与清华大学数学系、燕京大学数学系经调整后，组建了新的北京大学数学力学系。1978年分设为数学系和力学系。1985年，概率统计教研室独立成立了概率统计系。1995年，在数学系与概率统计系的基础上成立了北京大学数学科学学院。

1、 The decomposition into a detailed balance part and a circulation part of an irreversible stationary markov chain 

2、 椭圆型算子的扩张及C半群

3、 马尔可夫半群的不变测度与遍历性

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、 非自治系统的不变圈(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

钱敏先生论著目录