Selected Mathematical Works of Qian Min

Name: Selected Mathematical Works of Qian Min
ISBN: 9787301337547

北京大学数学科学学院Peking University Press · ChinaJun 2025

3.8

Word count: 147 words
Chapters: 35
ISBN: 9787301337547

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Summary

This volume collects articles including "Invariant Measures and Ergodicity of Markov Semigroups," "Bifurcation of Invariant Tori (Solution Manifolds) in Non-Autonomous Systems," "Minimal Coupled Diffusion Process," and "Generalized Weyl Transformation."

Editor's review

Edited by the School of Mathematical Sciences at Peking University, Selected Mathematical Papers of Qian Min collects academic articles including "Invariant Measures and Ergodicity of Markov Semigroups," "Bifurcation of Invariant Tori (Solution Manifolds) in Non-Autonomous Systems," "Minimal Coupled Diffusion Process," and "Generalized Weyl Transformation." This is not a popular introduction but a concentrated presentation of original papers in the relevant directions, suited for use as research material. Its value lies in three aspects: first, the articles center on probability theory, dynamical systems, and operator theory, offering textual references for specialist readers; second, the school's compilation into a single volume makes consultation and citation convenient; third, the papers retain their academic form, making them suitable for close reading in seminars or research projects. It should be treated as a selected collection of papers rather than a systematic textbook.

Who it's for

A good fit for

Mathematics researchers working in probability theory, dynamical systems, or operator theory
University teachers and graduate students who need to consult the original papers
Mathematics libraries and reference rooms as an academic literature holding

Not a good fit for

General readers without a foundation in advanced mathematics
Those seeking a systematic introduction to mathematical analysis or probability theory
Readers who want only popular-science reading and prefer to avoid the paper format

Reading tips

Begin with the table of contents, group the papers by theme, then select those closest to your own research for close reading.
Before each paper, review its problem background and main conclusions, then move into the details of the proof.
Use it in seminars, comparing the selected papers with the relevant textbook chapters.
For unfamiliar areas, read the introduction and conclusions first; it is not necessary to work through every proof line by line.

About the publisher

Peking University Press China · Founded in 1979

Peking University Press is a comprehensive university press whose publishing areas cover classical literature, popular science, social culture, world history, Western philosophy, and culture. Its catalogue contains 6,031 titles, with representative books including A Dream of Red Mansions, Relativity: The Special and General Theory (15th Edition) (with Einstein's classic papers on unified field theory and other topics), Elements, Conics, The Aristocratic Families of the Eastern Jin, The Philosophy of Mythology (Volume I), The Philosophy of Mythology (Volume II), and The Origin of Continents and Oceans. Representative authors include Cao Xueqin, Zhou Ruchang, Albert Einstein, Euclid, Apollonius, Tian Yuqing, Schelling, and Xian Gang. The press has developed distinctive strengths in classical Chinese literature and in the translation of Western philosophical classics, while also covering scientific classics and social and cultural studies. As public information is limited, this description is based only on the books in the catalogue and offers no further extrapolation.

版权信息
前言
THE DECOMPOSITION INTO A DETAILED BALANCE PART AND A CIRCULA
椭圆型算子的扩张及□半群
马尔可夫半群的不变测度与遍历性
MARKOV CHAIN AS A MODEL OF HILL'S THEORY ON CIRCULATION
CIRCULATION DISTRIBUTION OF A MARKOV CHAIN
Circulation for Recurrent Markov Chains
非自治系统的不变圈（解流形）分支
CIRCULATIONS OF MARKOV CHAINS WITH CONTINUOUS TIME AND THE P
MINIMAL COUPLED DIFFUSION PROCESS
Global Behavior in the Dynamical Equation of J-J Type
GENERALIZED WEYL TRANSFORMATION
REVERSIBLE DIFFUSION PROCESS AND EINSTEIN RELATION
COHERENT STATES, INVERSE MAPPING FORMULA FOR WEYL TRANSFORMA
A new type of Hopf algebra which is neither commutative nor
GAUGE INVARIANT QUANTIZATION ON RIEMANNIAN MANIFOLDS
Boson Realizations of Quantum Algebras and Some Physical Spa
Ruelle's Inequality for the Entropy of Diffusion Pro cesses
Bosonic Fock Representations of the Affine-Virasoro Algebra
Ergodic theory for axiom A endomorphisms
The Entropy Production of Diffusion Processes on Manifolds a
Entropy Production and Information Gain in Axiom-A Systems
Unbounded One-Dimensional Global Attractor for the Damped Si
SR.B MEA SURES AND PESIN'S ENTROPY FORMULA FOR: ENDOMORPHISM
Entropy formula of Pesin type for one-sided stationary rando
THE DUALITY THEORY OF A FINITE DIMENSIONAL DISCRETE QUANTUM
Non-equilibrium of a general stochastic system of coupled os
A Simple Discrete Model of Brownian Motors:Time-periodic Mar
Generalized Jarzynski's equality in inhomogeneous Markov cha
HOLOMOR.PHIC HA RMONIC AN ALYSIS ON COMPLEX R.EDUCTIVE GROUP
Synchronizcd dynamics and non-cquilibrium stcady states in a
Circular stochastic fluctuations in SIS epidemics with heter
Stochastic dynamics of electrical membrane with voltage -dep
钱敏先生论著目录

FAQ

Is this book suitable for readers with a weak mathematical background?

Not really. This book is a collection of papers dealing with specialized topics such as Markov semigroups, bifurcation in non-autonomous systems, and coupled diffusion processes, and it requires a foundation in probability theory, dynamical systems, or operator theory. Without such training, the proof sections will be difficult; it is advisable to take the relevant courses first.

Are the articles in the book textbook-style expositions or original papers?

Judging from the contents, the collection includes academic articles such as "Invariant Measures and Ergodicity of Markov Semigroups" and "Bifurcation of Invariant Tori (Solution Manifolds) in Non-Autonomous Systems." These follow the paper format rather than unfolding chapter by chapter like a textbook. The book is better suited as research reference material than as a step-by-step teaching text.

Can it be used as material for a graduate seminar?

Yes. The collection gathers articles around several specialized directions and is suitable for seminar study divided by theme. It is advisable for one participant to report on the problem background and main conclusions first, followed by a group discussion of the proof ideas; this makes better use of its value as reference material than reading it straight through alone.

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About the author

北京大学数学科学学院 Author · Chinese

The School of Mathematical Sciences at Peking University is an important institution for mathematical research and talent cultivation in China, long devoted to frontier exploration and education in the mathematical sciences. The school brings together many mathematics researchers who carry out systematic work in pure and applied mathematics, while also undertaking the task of training mathematics professionals. The Selected Mathematical Works of Qian Min, included in the library, is one manifestation of the school's related academic output, reflecting its care in organizing mathematical literature and preserving academic heritage. Public information is limited; at present it can only be confirmed that the school has one work under its institutional name, and its writing and publishing direction centers on academic mathematics books and anthologies. Its overall style is rigorous and professional, serving the practical needs of mathematical research and teaching.