Focusses on an active research field and contains many recent results
Presents many open problems and possible research directions
Offers a self-contained view of the wide class of “Curvature Conditions” and
“Critical Metrics” of suitable Riemannian functionals
This book focuses on a selection of special topics, with emphasis on past and present research
of the authors on “canonical” Riemannian metrics on smooth manifolds. On the backdrop of
the fundamental contributions given by many experts in the field, the volume offers a selfcontained
view of the wide class of “Curvature Conditions” and “Critical Metrics” of suitable
Riemannian functionals. The authors describe the classical examples and the relevant
generalizations. This monograph is the winner of the 2020 Ferran Sunyer i Balaguer Prize, a
prestigious award for books of expository nature presenting the latest developments in an
active area of research in mathematics.
Mathematics : Differential Geometry
Due 2020-11-23
1st ed. 2020, X, 253 p. 2 illus.
ISBN 978-3-030-57184-9
Product category : Monograph
Series : Progress in Mathematics
Discusses the state of the art in motor control, perception and memory
Addresses a large readership from humanities and natural sciences
Presents a novel approach including video material, images and digital media
This book is based on a two-day symposium at the Paris Institute of Advanced Study titled
"space-time geometries and movement in the brain and the arts". It includes over 20 chapters
written by the leading scientists and artists who presented their related research studies at the
symposium and includes six sections; the first three focus on space-time geometries in
perception, action and memory while the last three focus on specific artistic domains: drawing
and painting, dance, music, digital arts and robotics. The book is accompanied by a dedicated
webpage including related images and videos. There is an ever-growing interest in the topics
covered by this book. Space and time are of fundamental importance for our understanding of
human perception, action, memory and cognition, and are entities which are equally important
in physics, biology, neuroscience and psychology. Highly prominent scientists and
mathematicians have expressed their belief that our bodies and minds shape the ways we
perceive space and time and the physical laws we formulate. Understanding how the brain
perceives motion and generates -bodily movements is of great significance. There is also
growing interest in studying how space, time and movementsubserveartistic creations in
different artistic modalities (e.g., fine arts, digital and performing arts and music). This interest
is inspired by the idea that artists make intuitive use of the principles and simplifying strategies
used by the brain in movement generation and perception.
Mathematics : Mathematical Models of Cognitive Processes and Neural Networks
Due 2021-01-11
1st ed. 2020, IX, 278 p. 98 illus., 76 illus. in color.
Hardcover
ISBN 978-3-030-57226-6
Product category : Monograph
Series : Lecture Notes in Morphogenesis
Explores the algebraic investigation into substructural logics
Features papers from AsubL (Algebra & Substructural Logics - Take 6)
Details the state-of-the art in the area
This volume presents the state of the art in the algebraic investigation into substructural logics.
It features papers from the workshop AsubL (Algebra & Substructural Logics - Take 6). Held at
the University of Cagliari, Italy, this event is part of the framework of the Horizon 2020 Project
SYSMICS: SYntax meets Semantics: Methods, Interactions, and Connections in Substructural
logics. Substructural logics are usually formulated as Gentzen systems that lack one or more
structural rules. They have been intensively studied over the past two decades by logicians of
various persuasions. These researchers include mathematicians, philosophers, linguists, and
computer scientists. Substructural logics are applicable to the mathematical investigation of
such processes as resource-conscious reasoning, approximate reasoning, type-theoretical
grammar, and other focal notions in computer science. They also apply to epistemology,
economics, and linguistics. The recourse to algebraic methods -- or, better, the fecund interplay
of algebra and proof theory -- has proved useful in providing a unifying framework for these
investigations. The AsubL series of conferences, in particular, has played an important role in
these developments. This collection will appeal to students and researchers with an interest in
substructural logics, abstract algebraic logic, residuated lattices, proof theory, universal algebra,
and logical semantics
Philosophy : Logic
Due 2021-01-29
1st ed. 2021, VIII, 167 p. 14 illus.
ISBN 978-3-030-52162-2
Product category : Contributed volume
Series : Trends in Logic
Surveys include known results with sample proof techniques for each
parameter
Provides a reference for established researchers and graduate students
First chapter includes a glossary of commonly used terms
This volume comprises 17 contributions that present advanced topics in graph domination,
featuring open problems, modern techniques, and recent results. The book is divided into 3
parts. The first part focuses on several domination-related concepts: broadcast domination,
alliances, domatic numbers, dominator colorings, irredundance in graphs, private neighbor
concepts, game domination, varieties of Roman domination and spectral graph theory. The
second part covers domination in hypergraphs, chessboards, and digraphs and tournaments.
The third part focuses on the development of algorithms and complexity of signed, minus and
majority domination, power domination, and alliances in graphs. The third part also includes a
chapter on self-stabilizing algorithms. Of extra benefit to the reader, the first chapter includes a
glossary of commonly used terms. The book is intended to provide a reference for established
researchers in the fields of domination and graph theory and graduate students who wish to
gain knowledge of the topics covered as well as an overview of the major accomplishments
and proof techniques used in the field.
Mathematics : Graph Theory
Due 2021-01-02
1st ed. 2020, VIII, 242 p. 168 illus., 61 illus. in color.
Hardcover
ISBN 978-3-030-58891-5
Product category : Contributed volume
Series : Developments in Mathematics
The first accessible and yet technically detailed introduction to mean-field
game theory
Collects in one volume most of the PDE techniques developed in MFG theory
Includes a special chapter on numerical simulations, with applications to
economics and crowd dynamics
This volume provides an introduction to the theory of Mean Field Games, suggested by J.-M.
Lasry and P.-L. Lions in 2006 as a mean-field model for Nash equilibria in the strategic
interaction of a large number of agents. Besides giving an accessible presentation of the main
features of mean-field game theory, the volume offers an overview of recent developments
which explore several important directions: from partial differential equations to stochastic
analysis, from the calculus of variations to modeling and aspects related to numerical methods.
Arising from the CIME Summer School "Mean Field Games" held in Cetraro in 2019, this book
collects together lecture notes prepared by Y. Achdou (with M. Lauriere), P. Cardaliaguet, F.
Delarue, A. Porretta and F. Santambrogio. These notes will be valuable for researchers and
advanced graduate students who wish to approach this theory and explore its connections with
several different fields in mathematics
Mathematics : Analysis
Due 2020-12-23
1st ed. 2020, X, 240 p. 13 illus. in color.
Softcover
ISBN 978-3-030-59836-5
Product category : Contributed volume
Series : C.I.M.E. Foundation Subseries