Eynard

Eynard

Random Matrices, Random Processes and Integrable Systems

This book explores the remarkable connections between two domains that, a priori, seem unrelated: Random matrices (together with associated random processes) and integrable systems. The relations between random matrix models and the theory of classical integrable systems have long been studied. These appear mainly in the deformation theory, when parameters characterizing the measures or the domain of localization of the eigenvalues are varied. The resulting differential equations determining the partition function and correlation functions are, remarkably, of the same type as certain equations appearing in the theory of integrable systems. They may be analyzed effectively through methods based upon the Riemann-Hilbert problem of analytic function theory and by related approaches to the study of nonlinear asymptotics in the large N limit. Associated with studies of matrix models are certain stochastic processes, the "Dyson processes", and their continuum diffusion limits, which govern the spectrum in random matrix ensembles, and may also be studied by related methods. Random Matrices, Random Processes and Integrable Systems provides an in-depth examination of random matrices with applications over a vast variety of domains, including multivariate statistics, random growth models, and many others. Leaders in the field apply the theory of integrable systems to the solution of fundamental problems in random systems and processes using an interdisciplinary approach that sheds new light on a dynamic topic of current research.

European Investment in Greece in the Nineteenth Century

Banking historiography often does not sufficiently take into account bankers’ deliberations of their decision making, but rather limits investigation to considerations of profit maximisation. This book shows that the decision-making processes of nineteenth-century bankers contemplating high-risk financial markets like Greece are just as complex as present-day investment decisions. The book, now published in English after a first German edition, offers in-depth studies of decision making in concrete historical situations, considering political and economic circumstances and also the individual background of the actors concerned, including a reflection on the influence of cultural movements such as Philhellenism. Employing methodological inspirations from the field of behavioural finance, the book analyses a broad range of published and unpublished English, French, Greek, German and Swiss sources on European investment in Greece between 1821 and the Balkan wars. Additionally, rich insights into Greek economic history, the economic integration of the country into Europe and long-lasting European stereotypes of Southern Europe and Greece are provided; this furthers understanding of the historical background of the Greek financial crisis after 2009. In combining the perspectives of financial, economic, political and cultural history, this book is primarily significant for students of various fields of historiography. Due to its strong awareness of methodological questions, it is also of great interest to academic historians. In addition, the strong public interest in the Greek financial crisis after 2009 and its consequences for Europe will, thirdly, attract the interest of a broader public.