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Rigorous Numerics in Dynamics
This volume is based on lectures delivered at the 2016 AMS Short Course “Rigorous Numerics in Dynamics”, held January 4–5, 2016, in Seattle, Washington. Nonlinear dynamics shapes the world around us, from the harmonious movements of celestial bodies, via the swirling motions in fluid flows, to the complicated biochemistry in the living cell. Mathematically these phenomena are modeled by nonlinear dynamical systems, in the form of ODEs, PDEs and delay equations. The presence of nonlinearities complicates the analysis, and the difficulties are even greater for PDEs and delay equations, which are naturally defined on infinite dimensional function spaces. With the availability of powerful ...
ECAI 2023
Artificial intelligence, or AI, now affects the day-to-day life of almost everyone on the planet, and continues to be a perennial hot topic in the news. This book presents the proceedings of ECAI 2023, the 26th European Conference on Artificial Intelligence, and of PAIS 2023, the 12th Conference on Prestigious Applications of Intelligent Systems, held from 30 September to 4 October 2023 and on 3 October 2023 respectively in Kraków, Poland. Since 1974, ECAI has been the premier venue for presenting AI research in Europe, and this annual conference has become the place for researchers and practitioners of AI to discuss the latest trends and challenges in all subfields of AI, and to demonstrat...
The Changing Nature of the Maine Woods
The ecology of the ever-changing Maine forest
Striving for Environmental Sustainability in a Complex World
In the face of growing anxiety about global environmental sustainability, George Francis, a leading authority in the field of sustainability studies, examines initiatives undertaken in Canada over the past twenty-five years to protect some of our unique environments. Focusing mainly on collaborative studies of thirty-one landscape regions – designated as “Biosphere Reserves” by UNESCO or as “Model Forests” by the Canadian Forest Service – Francis also summarizes smaller sustainability projects across the country. The author concludes on a hopeful note, looking at solutions considered, proposed, and in some cases already implemented by groups striving for sustainability in an increasingly complex world.
The Trump Tower Survivor
The Trump Tower Survivor By: Denis Lacasse In the aftermath of an eventful American presidential campaign, the Montreal Police Service (SPVM) had to face the consequences of this election. A spiral of events will lead to the investigation of the Assistant Director Riverin in the dark backrooms of American democracy. Throughout the following pages, readers will feel the shadow figure of the famous commissioner Maigret observing the troubles of his Quebec colleague with some undesirable visitors.
The Digitizing Family
At once a digital ethnography of smartphones and a classically conceived village-based ethnography, this book relocates the study of digital technologies to rural Melanesia, with a focus on the Lau of Malaita, Soloman Islands. In this ‘technography’, Geoffrey Hobbis studies the materiality and functional attributes of smartphones and their object biographies—modes of acquisition, maintenance, uses, limitations and the problems specific to this region in adopting and adapting smartphones in everyday life. As he examines the various uses of smartphones, as both telephone and multimedia device, Hobbis also explores the social and cultural transformations, the hopes and uncertainties, with which they are associated. Ultimately, in bringing together a study of digital technologies with classical anthropological theory, The Digitizing Family develops a theory of smartphones as kinship technologies and supercompositional objects.
An Excursion Through Discrete Differential Geometry
Discrete Differential Geometry (DDG) is an emerging discipline at the boundary between mathematics and computer science. It aims to translate concepts from classical differential geometry into a language that is purely finite and discrete, and can hence be used by algorithms to reason about geometric data. In contrast to standard numerical approximation, the central philosophy of DDG is to faithfully and exactly preserve key invariants of geometric objects at the discrete level. This process of translation from smooth to discrete helps to both illuminate the fundamental meaning behind geometric ideas and provide useful algorithmic guarantees. This volume is based on lectures delivered at the 2018 AMS Short Course ``Discrete Differential Geometry,'' held January 8-9, 2018, in San Diego, California. The papers in this volume illustrate the principles of DDG via several recent topics: discrete nets, discrete differential operators, discrete mappings, discrete conformal geometry, and discrete optimal transport.
3D Printing in Mathematics
This volume is based on lectures delivered at the 2022 AMS Short Course “3D Printing: Challenges and Applications” held virtually from January 3–4, 2022. Access to 3D printing facilities is quickly becoming ubiquitous across college campuses. However, while equipment training is readily available, the process of taking a mathematical idea and making it into a printable model presents a big hurdle for most mathematicians. Additionally, there are still many open questions around what objects are possible to print, how to design algorithms for doing so, and what kinds of geometries have desired kinematic properties. This volume is focused on the process and applications of 3D printing for...
Mean Field Games
This volume is based on lectures delivered at the 2020 AMS Short Course “Mean Field Games: Agent Based Models to Nash Equilibria,” held January 13–14, 2020, in Denver, Colorado. Mean field game theory offers a robust methodology for studying large systems of interacting rational agents. It has been extraordinarily successful and has continued to develop since its inception. The six chapters that make up this volume provide an overview of the subject, from the foundations of the theory to applications in economics and finance, including computational aspects. The reader will find a pedagogical introduction to the main ingredients, from the forward-backward mean field game system to the master equation. Also included are two detailed chapters on the connection between finite games and mean field games, with a pedestrian description of the different methods available to solve the convergence problem. The volume concludes with two contributions on applications of mean field games and on existing numerical methods, with an opening to machine learning techniques.
Sum of Squares: Theory and Applications
This volume is based on lectures delivered at the 2019 AMS Short Course “Sum of Squares: Theory and Applications”, held January 14–15, 2019, in Baltimore, Maryland. This book provides a concise state-of-the-art overview of the theory and applications of polynomials that are sums of squares. This is an exciting and timely topic, with rich connections to many areas of mathematics, including polynomial and semidefinite optimization, real and convex algebraic geometry, and theoretical computer science. The six chapters introduce and survey recent developments in this area; specific topics include the algebraic and geometric aspects of sums of squares and spectrahedra, lifted representations of convex sets, and the algorithmic and computational implications of viewing sums of squares as a meta algorithm. The book also showcases practical applications of the techniques across a variety of areas, including control theory, statistics, finance and machine learning.
