Books published by Mathematical Society of Japan

ICDEA 2006 was held on July 2006 in Kyoto at the 15th MSJ International Research Institute. This volume contains the proceedings of talks presented at the 11th International Conference on Difference Equations and Applications (ICDEA 2006).

Consists of selected papers on the trends and results in the study of various groups of diffeomorphisms, including mapping class groups, from the point of view of algebraic and differential topology, as well as dynamical ones involving foliations and simplistic or contact diffeomorphisms.

Includes articles that provide a panoramic view of the role of geometry in integrable systems, firmly rooted in surface theory but branching out in various directions.

With developments in semiconductor technology, several mathematical models have been established to analyze and to simulate the behavior of electron flow in semiconductor devices. This title provides a study of mathematical research on semiconductor equations.

Although the Monte Carlo method is used in so many fields, its mathematical foundation has been weak until now because of the fundamental problem that a computer cannot generate random numbers. This book presents a strong mathematical formulation of the Monte Carlo method which is based on the theory of random number by Kolmogorov and others and that of pseudorandom number by Blum and others. As a result, we see that the Monte Carlo method may not need random numbers and pseudorandom numbers may suffice. In particular, for the Monte Carlo integration, there exist pseudorandom numbers which serve as complete substitutes for random numbers.

Contains the proceedings of the International Conference on Probability and Number Theory held at Kanazawa, Japan, in June 2005. This title includes several survey articles on probabilistic number theory and research papers on various topics around the border area between probability theory and number theory.

Contains surveys and original articles based on the talks given at the 40th Finsler Symposium on Finsler Geometry, held on September 9-10, 2005 at Hokkaido Tokai University, Sapporo, Japan. This volume includes papers that contain fundamental topics of modern Riemann-Finsler geometry, suitable for specialists in Finsler geometry.

Consists of the proceedings of the 14th MSJ International Research Institute 'Asymptotic Analysis and Singularity', which was held at Sendai, Japan in July 2005. This title includes survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.

Consists of the proceedings of the 14th MSJ International Research Institute 'Asymptotic Analysis and Singularity', which was held at Sendai, Japan in July 2005. This title contains survey papers and original research papers on nonlinear partial differential equations, dynamical systems, calculus of variations and mathematical physics.

Constitutes the proceedings of the Third Franco-Japanese Symposium on Singularities in Geometry and Topology, held in Sapporo in September 2004. This title contains not only research papers on the advanced topics in the field but also some survey articles, which give a broad scope of some areas of the subject.

The RIMS conference 'Moduli Spaces and Arithmetic Geometry' was held at Kyoto University during September 8-15, 2004 as the 13th International Research Institute of the Mathematical Society of Japan. This volume is the outcome of this conference and consists of papers that treat moduli problem and/or arithmetic geometry.

Collects eight plenary lectures and twenty-five selected contributions from invited and contributed lectures delivered at the International Workshop on Potential Theory 2004. The workshop was held at Shimane University, Matsue, Japan, from August 23 to 28, 2004. The topic of the workshop was potential theory and its related fields.

Consists of the proceedings of the 12th International Research Institute of the Mathematical Society of Japan, held during 2003. This title features papers that cover several important topics in singularity theory, including survey on motivic integrations, Thom polynomials, complex analytic singularity theory, and generic differential geometry.