Series
Springer Proceedings in Mathematics & Statistics
Due 2019-01-05
1st ed. 2018, Approx. 170 p.
60 illus., 40 illus. in color.
Hardcover
ISBN 978-3-030-00038-7
Outlines novel contributions on the statistical modeling of recent
multimodality imaging data from Neuroscience
Includes a contribution by experts on Statistics for Neuroscience, discussing
new and relevant research directions
Provides findings and new research questions to stimulate future promising
research in Neural Data Science
This volume presents a collection of peer-reviewed contributions arising from StartUp
Research: a stimulating research experience in which twenty-eight early-career researchers
collaborated with seven senior international professors in order to develop novel statistical
methods for complex brain imaging data. During this meeting, which was held on June 25?27,
2017 in Siena (Italy), the research groups focused on recent multimodality imaging datasets
measuring brain function and structure, and proposed a wide variety of methods for network
analysis, spatial inference, graphical modeling, multiple testing, dynamic inference, data fusion,
tensor factorization, object-oriented analysis and others. The results of their studies are
gathered here, along with a final contribution by Michele Guindani and Marina Vannucci that
opens new research directions in this field. The book offers a valuable resource for all
researchers in Data Science and Neuroscience who are interested in the promising
intersections of these two fundamental disciplines.
Series
Springer Proceedings in Mathematics & Statistics
Due 2018-12-17
1st ed. 2018, X, 185 p.
Hardcover
ISBN 978-3-030-00873-4
Offers a quick, non-technical introduction to recent major themes in Analysis
and Applications
Presents a survey on the new achievements concerning partial differential
equations of Mathematical Physics
Serves as evidence of outstanding mathematical schools in Nordic European
Countries (6 presentations of speakers from Sweden, Finland, Denmark,
Norway and Iceland)
This book includes the texts of the survey lectures given by plenary speakers at the 11th
International ISAAC Congress held in Vaxjo, Sweden, on 14-18 August, 2017. It is the purpose
of ISAAC to promote analysis, its applications, and its interaction with computation. Analysis is
understood here in the broad sense of the word, including differential equations, integral
equations, functional analysis, and function theory. With this objective, ISAAC organizes
international Congresses for the presentation and discussion of research on analysis. The
plenary lectures in thepresent volume, authored by eminent specialists, are devoted to some
exciting recent developments, topics including: local solvability for subprincipal type operators;
fractional-order Laplacians; degenerate complex vector fields in the plane; lower bounds for
pseudo-differential operators; a survey on Morrey spaces; localization operators in Signal
Theory and Quantum Mechanics. Thanks to the accessible style used, readers only need a basic
command of Calculus. This book will appeal to scientists, teachers, and graduate students in
Mathematics, in particular Mathematical Analysis, Probability and Statistics, Numerical Analysis
and Mathematical Physics.
Series
Springer Proceedings in Mathematics & Statistics
Due 2018-12-03
1st ed. 2018, IX, 207 p. 2 illus.
Hardcover
ISBN 978-3-030-01143-7
Features surveys related to the topics covered
Includes open problems for future investigation
Presents recent results on algebra, functional analysis, complex analysis, and
pluripotential theory
This book features papers presented during a special session on algebra, functional analysis,
complex analysis, and pluripotential theory. Research articles focus on topics such as slow
convergence, spectral expansion, holomorphic extension, m-subharmonic functions, pseudo-
Galilean group, involutive algebra, Log-integrable measurable functions, Gibbs measures,
harmonic and analytic functions, local automorphisms, Lie algebras, and Leibniz algebras. Many
of the papers address the theory of harmonic functions, and the book includes a number of
extensive survey papers. Graduate and researchers interested in functional analysis, complex
analysis, operator algebras and non-associative algebras will find this book relevant to their
studies. The special session was part of the second USA-Uzbekistan Conference on Analysis
and Mathematical Physics held on August 8-12, 2017 at Urgench State University (Uzbekistan).
The conference encouraged communication and future collaboration among U.S.
mathematicians and their counterparts in Uzbekistan and other countries. Main themes
included algebra and functional analysis, dynamical systems, mathematical physics and partial
differential equations, probability theory and mathematical statistics, and pluripotential theory. A
number of significant, recently established results were disseminated at the conferencefs
scheduled plenary talks, while invited talks presented a broad spectrum of findings in several
sessions. Based on a different session from the conference, Differential Equations and
Dynamical Systems is also published in the Springer Proceedings in Mathematics & Statistics Series.
Series
Springer Proceedings in Mathematics & Statistics
Due 2018-12-09
1st ed. 2018, Approx. 190 p.
Hardcover
ISBN 978-3-030-01375-2
Surveys the latest developments in the applications of Lie groups to
differential equations arising in mathematical physics
Brings together a group of top scholars on the much-debated issue of Lie
groups, Lie symmetries, and related topics
Contains only selected and accepted highest quality manuscripts for the
conference SDEA-III
Based on the third International Conference on Symmetries, Differential Equations and
Applications (SDEA-III), this proceedings volume highlights recent important advances and
trends in the applications of Lie groups, including a broad area of topics in interdisciplinary
studies, ranging from mathematical physics to financial mathematics. The selected and peerreviewed
contributions gathered here cover Lie theory and symmetry methods in differential
equations, Lie algebras and Lie pseudogroups, super-symmetry and super-integrability,
representation theory of Lie algebras, classification problems, conservation laws, and
geometrical methods. The SDEA III, held in honour of the Centenary of Noetherfs Theorem,
proven by the prominent German mathematician Emmy Noether, at Istanbul Technical
University in August 2017 provided a productive forum for academic researchers, both junior
and senior, and students to discuss and share the latest developments in the theory and
applications of Lie symmetry groups. This work has an interdisciplinary appeal and will be a
valuable read for researchers in mathematics, mechanics, physics, engineering, medicine and
finance.
Series
Springer Proceedings in Mathematics & Statistics
Due 2018-12-06
1st ed. 2018, VIII, 347 p.
11 illus., 3 illus. in color.
Hardcover
ISBN 978-3-030-01396-7
Contains articles from highly distinguished experts in numerical analysis
Offers a unique perspective on modern algebraic and combinatorial structures
Combines overview and research articles on recent and ongoing
developments, as well as new research directions
This volume resulted from presentations given at the international gBrainstorming Workshop on
New Developments in Discrete Mechanics, Geometric Integration and Lie?Butcher Seriesh, that
took place at the Instituto de Ciencias Matematicas (ICMAT) in Madrid, Spain. It combines
overview andresearcharticles onrecent and ongoing developments, as well as new research
directions. Why geometric numerical integration? In their article of the same title Arieh Iserles
and Reinout Quispel, two renowned experts in numerical analysis of differential equations,
provide a compelling answer to this question. After this introductory chapter a collection of
high-quality research articles aim at exploring recent and ongoing developments, as well as
new research directions in the areas of geometric integration methods for differential
equations, nonlinear systems interconnections, and discrete mechanics. One of the highlights is
the unfolding of modern algebraic and combinatorial structures common to those topics, which
give rise to fruitful interactions between theoretical as well as applied and computational
perspectives. The volume is aimed at researchers and graduate students interested in
theoretical and computational problems in geometric integration theory, nonlinear control
theory, and discrete mechanics.
Series
Springer Proceedings in Mathematics & Statistics
Due 2018-12-06
1st ed. 2018, XX, 230 p.
100 illus.
Hardcover
ISBN 978-3-030-01475-9
Increases significantly readersf understanding of the statistical properties of
dynamical systems of physical origin
Covers topics that are central to equilibrium and non-equilibrium physical
systems
Uses methodologies that are of great interest to researchers in chemistry, big
data analysis, and finance
Discusses correlations of time series driven by dynamical systems to help
readers understand situations leading to failures and therefore to reduce
risks in the future
This book features papers presented during a special session on dynamical systems,
mathematical physics, and partial differential equations. Research articles are devoted to broad
complex systems and models such as qualitative theory of dynamical systems, theory of
games, circle diffeomorphisms, piecewise smooth circle maps, nonlinear parabolic systems,
quadtratic dynamical systems, billiards, and intermittent maps. Focusing on a variety of topics
from dynamical properties to stochastic properties of dynamical systems, this volume includes
discussion on discrete-numerical tracking, conjugation between two critical circle maps,
invariance principles, and the central limit theorem. Applications to game theory and networks
are also included. Graduate students and researchers interested in complex systems,
differential equations, dynamical systems, functional analysis, and mathematical physics will
find this book useful for their studies. The special session was part of the second USAUzbekistan
Conference on Analysis and Mathematical Physics held on August 8-12, 2017 at
Urgench State University (Uzbekistan). The conference encouraged communication and future
collaboration among U.S. mathematicians and their counterparts in Uzbekistan and other
countries.