Chance And Stability

The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.

New up-to-date edition of this influential classic on Markov chains in general state spaces. Proofs are rigorous and concise, the range of applications is broad and knowledgeable, and key ideas are accessible to practitioners with limited mathematical background. New commentary by Sean Meyn, including updated references, reflects developments since 1996.

The aim of this Special Issue of Mathematics is to commemorate the outstanding Russian mathematician Vladimir Zolotarev, whose 90th birthday will be celebrated on February 27th, 2021. The present Special Issue contains a collection of new papers by participants in sessions of the International Seminar on Stability Problems for Stochastic Models founded by Zolotarev. Along with research in probability distributions theory, limit theorems of probability theory, stochastic processes, mathematical statistics, and queuing theory, this collection contains papers dealing with applications of stochastic models in modeling of pension schemes, modeling of extreme precipitation, construction of statistical indicators of scientific publication importance, and other fields.

In everyday life we either express our beliefs in all-or-nothing terms or we resort to numerical probabilities: I believe it's going to rain or my chance of winning is one in a million. 'The Stability of Belief' develops a theory of rational belief that allows us to reason with all-or-nothing belief and numerical belief simultaneously.

A fundamental assumption underlying the formation of our most important relationships is that they will persist indefinitely into the future. As an acquaintanceship turns into a friend ship, for example, both members of this newly formed interpersonal bond are likely to expect that their interactions will become increasingly frequent, diverse, and intimate over time. This expectation is perhaps most apparent in romantically involved couples who, through a variety of verbal and symbolic means, make explicit pledges to a long-lasting relationship. In either case, it is clear that these relationships represent something valuable to the individuals in volved and are pursued with great enthusiasm. Virtually all close relationships are formed within the context of mutually rewarding in teractions and/or strong physical attraction between partners. Friends and romantically in volved couples alike are drawn to one another because of similarity of attitudes, interests, and personality and, quite simply, because they enjoy one another's company. This enjoyment, cou pled with the novelty that characterizes new relationships, almost makes the continuation of the relationship a foregone conclusion. As relationships progress, however, their novelty fades, conflicts may arise between partners, negative life events may occur, and the satisfaction that previously characterized the relationships may diminish.

"... thoughtful critiques of the myriad issues between women and science." -- Belles Lettres "Outstanding collection of essays that raise the fundamental questions of gender in what we have been taught are objective sciences." -- WATERwheel "... all of the articles are well written, informative, and convincing. Admirable editorial work makes this anthology unusually helpful for scholars and students... Highly recommended... " -- Choice Questioning the objectivity of scientific inquiry, this volume addresses the scope of gender bias in science. The contributors examine the ways in which science is affected by and reinforces sexist biases. The essays reveal science to be a cultural institution, structured by the political, social, and economic values of the culture within which it is practiced.

Since the publication of the first edition of the present volume in 1980, the stochastic stability of differential equations has become a very popular subject of research in mathematics and engineering. To date exact formulas for the Lyapunov exponent, the criteria for the moment and almost sure stability, and for the existence of stationary and periodic solutions of stochastic differential equations have been widely used in the literature. In this updated volume readers will find important new results on the moment Lyapunov exponent, stability index and some other fields, obtained after publication of the first edition, and a significantly expanded bibliography. This volume provides a solid foundation for students in graduate courses in mathematics and its applications. It is also useful for those researchers who would like to learn more about this subject, to start their research in this area or to study the properties of concrete mechanical systems subjected to random perturbations.