Variation And Convergence
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The Oxford Handbook of Approaches to Language Evolution
Author: Limor Raviv
language: en
Publisher: Oxford University Press
Release Date: 2025-04-11
This handbook provides a detailed account of the many methodological tools and approaches used in the field of language evolution. The field has seen a rapid growth over the last decade, with a greater focus on empirical data and interdisciplinary syntheses. This volume aims to make sense of these recent developments, to provide a clear map of the current research landscape, and to showcase some of the most important advances. Each chapter highlights a particular methodology and outlines a question or set of questions that can be addressed using that methodology, illustrated by a key example from the recent literature. The volume is divided into three parts. Part I showcases the many ways in which humans can shed light on the evolution of language when placed in specific experimental settings, as well as discussing the use of clinical, genetic, observational and historical data. Part II is devoted to simulations and models that enable the careful control of biases, mechanisms, and environments, while Part III revolves around the idea that the study of non-human animals can provide valuable insights into the evolution of human language. The handbook as a whole demonstrates that multiple complimentary approaches are necessary to do justice to the complexity of language evolution.
Extreme Values, Regular Variation and Point Processes
Extremes Values, Regular Variation and Point Processes is a readable and efficient account of the fundamental mathematical and stochastic process techniques needed to study the behavior of extreme values of phenomena based on independent and identically distributed random variables and vectors. It presents a coherent treatment of the distributional and sample path fundamental properties of extremes and records. It emphasizes the core primacy of three topics necessary for understanding extremes: the analytical theory of regularly varying functions; the probabilistic theory of point processes and random measures; and the link to asymptotic distribution approximations provided by the theory of weak convergence of probability measures in metric spaces. The book is self-contained and requires an introductory measure-theoretic course in probability as a prerequisite. Almost all sections have an extensive list of exercises which extend developments in the text, offer alternate approaches, test mastery and provide for enjoyable muscle flexing by a reader. The material is aimed at students and researchers in probability, statistics, financial engineering, mathematics, operations research, civil engineering and economics who need to know about: asymptotic methods for extremes; models for records and record frequencies; stochastic process and point process methods and their applications to obtaining distributional approximations; pervasive applications of the theory of regular variation in probability theory, statistics and financial engineering. “This book is written in a very lucid way. The style is sober, the mathematics tone is pleasantly conversational, convincing and enthusiastic. A beautiful book!” Bulletin of the Dutch Mathematical Society “This monograph is written in a very attractive style. It contains a lot of complementary exercises and practically all important bibliographical reference.” Revue Roumaine deMathématiques Pures et Appliquées
Real Analysis and Probability
Author: R. M. Dudley
language: en
Publisher: Cambridge University Press
Release Date: 2002-10-14
This classic text offers a clear exposition of modern probability theory.