Format: Hardback, 354 pages, height x width: 235x155 mm, 23 Illustrations, color;
14 Illustrations, black and white; X, 354 p. 37 illus., 23 illus. in color., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 508
Pub. Date: 12-Oct-2025
ISBN-13: 9789819691791
This book contains select chapters of proceedings presented at the Second International Conference on Mathematics and its Applications, held in Antalya, Turkey, from 9 to 13 November 2023. Contributors are all active academicians and researchers in their respective fields. It includes chapters on algebra, ring theory, algebraic coding theory, algebraic graph theory, and differential equations. The book covers recent research in the boundaries of several fields of mathematics, particularly algebra and differential equations with applications. It will be useful not only to experts but also to the beginners of research in algebras, differential equations and related topics.
A Study of Randi Spectrum of the Co-maximal Graph.- Chain Conditions on
Essential M-cyclic Submodules.- Signless Laplacian Spectra of the
Zero-divisor Graph of a Commutative Ring .- Cohens Theorem for Commutative
Unital -rings.- DSDC Graphs on Finite Dimensional Vector Spaces.- The
Fundamental System of Units of Some Real Cyclic Quartic Number Fields.- Norm
Inequalities Involving Accretive-dissipative Matrices.- Effects of
Endomorphisms on the Commutativity of Banach Algebras.- A Note of Mixed
Bi-skew Jordan Triple Derivations on *-algebra.- Some Graph Invariants of
Prime Ideal Sum Graph of Commutative Ring.- On Commutativity with
Generalized Derivations Acting on Prime Rings and Banach Algebras.- On the
Structure of Generalized Semiderivations in Prime Rings.- On Centrally
Extended Generalized *- homoderivations Rings with Involution.- On Some
Construction of Additive Codes over [ u][ u] and their Applications in
Optimal Codes.- Generalized Derivations on Prime Rings with Involution.-
Multiplicative Skew Lie-type Derivation on Prime *-Rings.
Format: Hardback, 90 pages, height x width: 235x155 mm, 25 Illustrations, color;
2 Illustrations, black and white; VIII, 90 p. 27 illus., 25 illus. in color., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 511
Pub. Date: 17-Sep-2025
ISBN-13: 9783031990083
By integrating cutting-edge statistical research with diverse applications, this book serves as both a reference and an inspiration for those interested in advancing Bayesian methodologies. This volume brings together a collection of research contributions that highlight the versatility and power of Bayesian methods in tackling complex problems across a variety of fields. The chapters reflect the latest advances in Bayesian theory, methodology, and computation, offering novel approaches to analyze data characterized by high dimensionality, structural dependencies, and dynamic behavior. From segmenting mass spectrometry imaging data to modeling dynamic networks and assessing macroeconomic tail risks, this book showcases how advanced Bayesian methods can provide transformative insights while maintaining interpretability and computational feasibility. Whether it’s addressing challenges in biomedicine, where data often come with hierarchical structures and non-standard distributions, or in economics, where time-varying risks demand adaptive models, the contributions in this book demonstrate the unparalleled capacity of Bayesian methods to model, predict, and interpret complex phenomena. Importantly, they also address the need for theoretical guarantees and computational efficiency, making these methods accessible for real-world applications. This volume highlights the versatility of Bayesian methods in tackling diverse, complex problems across disciplines. The chapters reflect the latest advances in statistical theory, computational techniques, and real-world applications. Readers will find innovative solutions for high-dimensional data analysis, clinical trial design, dynamic network modeling, macroeconomic risk assessment, and more. By integrating theory and practice, this book serves as a valuable resource for statisticians, researchers, and practitioners seeking to explore the frontiers of Bayesian inference.
The volume gathers contributions presented at the Bayesian Young Statisticians Meeting (BAYSM) 2023, the official conference of j-ISBA, the junior section of the International Society for Bayesian Analysis, together with some more invited papers from additional contributors. This prestigious event provides a platform for early-career researchers to showcase innovative work and engage in discussions that shape the future of Bayesian statistics. The inclusion of some additional contributions highlights the vibrancy and creativity of the next generation of Bayesian statisticians, offering a glimpse into cutting-edge methodologies and their diverse applications. The discussions and feedback from BAYSM 2023 have undoubtedly enriched these works, underscoring the collaborative and dynamic nature of the Bayesian research community.
Introduction.- F. Denti, C. Balocchi, G. Capitoli, Segmenting Brain
MALDI-MSI Data under Separate Exchangeability.- M. Giordano, A Bayesian
Approach with Gaussian Priors to the Inverse Problem of Source Identification
in Elliptic PDEs.-
M. Chapman-Rounds, M. Pereira, Phase I Dose Escalation Trials in Cancer
Immunotherapy: Modifying the Bayesian Logistic Regression Model for Cytokine
Release Syndrome.- A. Avalos-Pacheco, A. Lazzerini, M. Lupparelli, F. Claudio
Stingo, A Bayesian Multiple Ising Model.- R. H. Mena, M. Ruggiero, A. Singh,
Bayesian Nonparametric Estimation of Time-Varying Macroeconomic Tail Risk.-
M. Dalla Pria, M. Ruggiero, D. Spanņ, A MetropolisHastings Algorithm for
Sampling Coagulated Partitions.- F. Gaffi, Conditionally Partially
Exchangeable Partitions for Dynamic Networks.
Format: Hardback, 378 pages, height x width: 235x155 mm, 7 Illustrations, color;
9 Illustrations, black and white; X, 378 p. 16 illus., 7 illus. in color., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 512
Pub. Date: 01-Oct-2025
ISBN-13: 9783031992117
This proceedings volume gathers selected, revised papers presented at the XI International Meeting on Lorentzian Geometry (GeLoMer 2024), held at the Autonomous University of Yucatįn, Mexico, from January 29 to February 2, 2024.
Lorentzian geometry provides the mathematical foundation for Einstein's theory of relativity. It incorporates aspects from different branches of mathematics, such as differential geometry, partial differential equations, and mathematical analysis, to name a few.
This volume includes surveys describing the state-of-the-art in specific areas, and a selection of the most relevant results presented at the conference, which is seen as a benchmark for those working in Lorentz geometry due to its relevance.
Given its scope, the book will be of interest to both young and experienced mathematicians and physicists whose research involves general relativity and semi-Riemannian geometry.
Preface.- Semi Riemannian Nearly Khaler G X G.- Global flatness for
asymptotically at spacetimes.- Isometric lightlike immersions in R x Qn+1,
c,1.- The vacuum weighted Einstein field equations on pure radiation waves.-
Conformally Einstein Lorentzian Lie groups.- Causal ladder of Finsler
spacetimes with a cone Killing vector field.- A geometric reduction method
for some fully nonlinear first order PDEs on semi-Riemannian manifolds.- Mean
curvature, singularities and time functions in cosmology.- C0-inextendibility
of FLRW spacetimes within a subclass of axisymmetric spacetimes.- Spacelike
causal boundary at nite distance and continuous extension of the metric:
second preliminary report.- From Lorentzian manifolds to signature-type
change with singular transverse metrics.- Constant angle surfaces in I x f
R2,1 with a null principal direction.- Vacuum cosmological spacetimes without
CMC Cauchy surfaces.- On pseudo-parallel surfaces.- Introduction to Kundt
spaces.- Topologies on the future causal completion.- On the application of
Lorentz-Finsler geometry to model wave propagation.- The ladder of
Finsler-type objects and their variational problems on spacetimes.- Compact
plane waves with parallel Weyl curvature.- Author Index.
Format: Paperback / softback, 610 pages, height x width: 235x155 mm, 34 Illustrations, color;
93 Illustrations, black and white; X, 610 p. 127 illus., 34 illus. in color., 1 Paperback / softback
Series: Lecture Notes in Mathematics 2373
Pub. Date: 18-Sep-2025
ISBN-13: 9783031987502
Chapter 1. Introduction.
Chapter 2. Related Works.- Part I. Abstract Unobstructedness Theorems.
Chapter 3. Algebraic Structures.
Chapter 4. Gauge Transforms.
Chapter 5. The Extended MaurerCartan Equations.
Chapter 6. The Two Abstract Unobstructedness Theorems.- Part II. Logarithmic Geometry.
Chapter 7. Logarithmic Geometry.
Chapter 8. Families of Singular Log Schemes.
Chapter 9. Toroidal Crossing Spaces.- Part III. Global Deformation Theory.
Chapter 10. Generically Log Smooth Deformations.-
Chapter 11. Deformations with a Vector Bundle.
Chapter 12. Geometric Families of P-Algebras.
Chapter 13. The Characteristic Algebra.- Part IV. Applications.
Chapter 14. Log Toroidal Families of GrossSiebert Type.-
Chapter 15. The Gerstenhaber Calculus of Log Toroidal Families.
Chapter 16. Deformations of Line Bundles.
Chapter 17. Algebraic Deformations.
Chapter 18. Modifications of the Log Structure.
Format: Paperback / softback, 574 pages, height x width: 235x155 mm, 2 Illustrations, color;
7 Illustrations, black and white; X, 574 p. 9 illus., 2 illus. in color., 1 Paperback / softback
Series: Lecture Notes in Mathematics 2380
Pub. Date: 19-Sep-2025
ISBN-13: 9783031986031
This monograph provides a rigorous analysis of a wide range of stationary (steady state) boundary value problems for elliptic systems of Stokes and Navier-Stokes type, as encountered in fluid dynamics. Addressing Dirichlet, Neumann, Robin, mixed, and transmission problems in both the isotropic and anisotropic cases, it makes systematic use of the notion of relaxed ellipticity recently introduced by the authors. The problems are treated in Lipschitz domains in the Euclidean setting as well as in compact Riemannian manifolds and in manifolds with cylindrical ends (non-compact manifolds), with given data in a variety of spaces – Lebesgue, standard or weighted Sobolev, Bessel potential, and Besov. A detailed and comprehensive study is provided of the main mathematical properties of boundary value problems related to the Navier-Stokes equations with variable coefficients, such as existence, uniqueness, and regularity of solutions. These are considered in bounded, periodic, and also unbounded domains, in the Euclidean setting as well as on manifolds (compact, or non-compact). The included results represent the authors’ contributions to the field of stationary Stokes, Navier-Stokes, and related equations, the main novelty being the analysis of the related boundary problems with anisotropic variable coefficients and on manifolds.
The book is aimed at researchers, graduate and advanced undergraduate mathematics students, physicists, and computational engineers interested in mathematical fluid mechanics, partial differential equations, and geometric analysis. The prerequisites include the basics of partial differential equations, the variational approach and function spaces; some sections need the fundamentals of integral equations, the theory of Riemannian manifolds, and fixed-point techniques.
Chapter 1. Introduction.- Part I. Boundary value problems for the
isotropic, constant-coefficient Brinkman and Navier-Stokes type systems in
bounded Lipschitz domains in Rn.
Chapter 2. Preliminaries.
Chapter 3. Layer
potentials for the constant-coefficient Brinkman system in bounded,
Lipschitz domains.
Chapter 4. Isotropic Navier-Stokes type models for flows
in bidisperse porous media.- Part II. Transmission and boundary value
problems for the anisotropic, L-coefficients Stokes and Navier-Stokes
systems in Lipschitz domains in Rn.
Chapter 5. Transmission problems for
Stokes and Navier-Stokes systems with strongly elliptic coefficients in Rn.-
Chapter 6. Layer potentials for the Stokes system with symmetric tensor
coefficient satisfying a relaxed ellipticity condition.
Chapter 7. Dirichlet-transmission problems for Stokes and Navier-Stokes systems in
Lipschitz domains with internal interfaces.
Chapter 8.Dirichlet-transmission problems for Stokes and Navier-Stokes systems on
bounded Lipschitz domains with transversal interfaces.
Chapter 9. Mixed-transmission problems for Stokes and Navier-Stokes systems in bounded
Lipschitz domains with transversal interfaces.
Chapter 10. Periodic
solutions for anisotropic Stokes, Oseen, and Navier-Stokes systems.
Chapter 11. Anisotropic Navier-Stokes type models for flows in multidisperse porous
media.- Part III. Transmission and boundary value problems for Stokes and
Navier-Stokes type systems on compact Riemannian manifolds.
Chapter 12. Generalized Brinkman operators with smooth coefficients: Fundamental
solutions and layer potentials.
Chapter 13. Transmission problems for Stokes
and Navier-Stokes type systems with smooth coefficients.
Chapter 14. Stokes and Navier-Stokes systems with non-smooth coefficients in Lipschitz domains.-
Part IV. The generalized Stokes operator on manifolds with cylindrical ends.-
Chapter 15. The essentially translation invariant calculus on manifolds with cylindrical ends.
Chapterb 16. Invertibility of the generalized Stokes
operator and of its layer potential operators on manifolds with straight
cylindrical ends.
Format: Hardback, 240 pages, height x width: 235x155 mm, X, 240 p., 1 Hardback
Series: Industrial and Applied Mathematics
Pub. Date: 26-Sep-2025
ISBN-13: 9789819694341
This book contains select chapters presented at the 17th & 18th International Conference of the Institute of Mathematics, Bioinformatics, Information Technology and Computer Science (IMBIC) on Mathematical Sciences for Advancement of Science and Technology (MSAST 2023 & 2024), held at Salt Lake, Kolkata, West Bengal, India, from 21 to 23 December 2023 & 2024. Contributed by researchers from the USA, Russia, Norway, Sweden, Nigeria, and India, it discusses recent research in the intersection of mathematics with various disciplines such as physics, computer science, statistics, and engineering. It focuses research on interdisciplinary topics such as the mathematical principles of color theory and music theory to cutting-edge applications in cybersecurity, superconductivity, and fluid dynamics. The book studies how to solve complex problems and proposes innovative solutions by applying mathematical tools like Lie algebra, set-valued functions, and topological surgery theory. This interdisciplinary approach fosters deeper understanding of phenomena like leakage resilience in secret sharing schemes, the structure of the periodic table, and the behavior of nanofluids.
Chapter 1: Laboratory Gravitational Waves: Sources and Detection.-
Chapter 2: Color Theory: Basic Color Models 10.0 Basic Music Theory5.0 -Harmonics.
Chapter 3: Possible Extension of Linguistics, Semiology, and
Geometric Lie Algebra Foundation of Atomic Structure and Periodic System to Superconductivity.-
Chapter 4: Color Theory: Basic Color Models 12.0 Basic Music Theory 7.0 - Basic Time Hypothesis.
Chapter 5: Original Lie Algebra Behind Real Structure, Models, and Interactive Computer System of Chemical
Elements, Compounds, and Compositions.
Chapter 6: Secret Sharing Schemes for General Access Structures with Leakage Resilience.
Chapter 7: Approximation of Functions in Generalized Hölder Space by Means of Picard Singular Integral.
Chapter 8: Numerical Analysis on the Transport Process of Heat and
Mass on MHD Nanofluid Flow Including Chemical Reaction and the Slip Effects
at the Boundary of a Stretching Surface.
Chapter 9: Fibonacci Generation of Exact Distribution of Fibonacci Summands.
Chapter 10: Riemann Integral of Set-Valued Functions on Time Scales.
Chapter 11: Real Projective Space with Topological Surgery Theory.
Chapter 12: Fixed Point Analysis of avHomogeneous Isotropic Turbulent Flow.
Chapter 13: Symmetric and Asymmetric Axial and Directional Models and Bivariate Extensions Thereof.
Chapterv14: Classification and Regression Error Bounds for Inhomogeneous Data with
Applications to Wireless Networks.
Chapter 15: Probabilistic Bounds for Data Storage with Feature Selection and Undersampling.
Format: Hardback, 400 pages, height x width: 235x155 mm, 30 Illustrations, black and white; Approx. 400 p. 30 illus., 1 Hardback
Series: Theory and Applications of Computability
Pub. Date: 20-Dec-2025
ISBN-13: 9783031970696
Description
Choquet capacities, which provide the weighting mechanism for the Choquet and other fuzzy integrals, model synergistic and antagonistic interactions between variables by assigning value to all subsets rather than individual inputs.
While the flexibility of capacities (also referred to as fuzzy measures and cooperative games) comes at the expense of an exponentially increasing number of parameters, the ability to explain their behavior using various value and interaction indices makes them appealing for applications requiring transparency and interpretability. As well as a number of useful indices that in some way capture the extent to which positive and negative interactions occur, significant progress has been made in addressing the scalability issues that arise in applications. This book provides a detailed overview of the background concepts relating to capacities and their role in fuzzy integration and aggregation, then presents specialised chapters on most recent results in learning, random sampling and optimization that involve Choquet capacities.
· Fundamentals of Choquet capacities (fuzzy measures) and their use in modeling importance and interaction between variables
· Definitions, properties and mappings between alternative representations that allow capacities and fuzzy integrals to be interpreted and applied in different settings
· Various simplification assumptions, from k-additive, p-symmetric and l-measures to more recent concepts such as k-interactive and hierarchical frameworks
· Capacity learning formulations that allow the diverse types to be elicited from datasets or according to user-specified requirements
· Recent findings related to random sampling and optimisation with Choquet integral objectives
This book includes illustrative examples and guidance for implementation, including an appendix detailing functions found in the pyfmtools software library. It aims to be useful for practitioners and researchers in decision and data-driven fields, or those who wish to apply these emerging tools to new problems.
The authors are all affiliated with the School of Information Technology at Deakin University, Australia. Gleb Beliakov is a professor, Simon James is an Associate Professor, and Jian-Zhang Wu is a Research Fellow.
Introduction.- Types of Capacities.- Value and Interaction Indices.-
Representations.- Fuzzy Intergrals.- Sparse Capacities.- Symmetric Fuzzy
Measures: OWA.- Learning Capacities.- Optimisation Models Based on Fuzzy
Integrals.- Random Sampling of the Capacities.