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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