Format: Paperback / softback, 122 pages, height x width: 235x155 mm, X, 122 p.
Series: SpringerBriefs in Statistics
Pub. Date: 03-Jun-2026
ISBN-13: 9789819580446
This book provides a new contemporary time series approach for econometrics and finance. In a concrete manner a very general divergence between spectra is introduced, resulting in the development of a statistical inference that is efficient and robust, and leads to a new perspective. A measure of systemic risk is also developed in the energy market,which quantifies the cost of energy asset distress vis-ą-vis the broader economy during crises, and examines the dynamic interaction between solvency and funding liquidity risk in banks using a panel vector autoregressive (VAR) model. This step shows that a forward-looking measure of capital shortfall under stress is both a predictor and an outcome of funding liquidity risk. Additionally, a new integrated likelihood-based approach for estimating nonlinear panel data models is described. Unlike existing integrated likelihoods, the new integrated likelihood is closer to a genuine likelihood. The book explains why this is due to first-order information unbiasedness, and why it seems to matter more for inference than for estimation. Results of studies in econometrics are provided for support.
1 Introduction.- 2 Hellinger Distance Estimation for Non-Regular
Spectra.- 3 Local Whittle likelihood approach for generalized divergence.- 4
Systemic Risk in Energy Markets: Measuring Co-Movements in Energy Asset
Prices During Crises.- 5 Modeling Solvency and Liquidity Interactions in
Banking: A Panel VAR Analysis.- 6 Integrated likelihood based inference for
nonlinear panel data models.- 7 Reducing score and information bias in panel
data likelihoods.- 8 Shrinkage estimators of BLUE for time series regression
models.
Format: Hardback, 229 pages, height x width: 240x168 mm, XIV, 229 p.
Series: Synthesis Lectures on Mathematics & Statistics
Pub. Date: 03-Jun-2026
ISBN-13: 9783032100399
This book discusses set theory as the foundation and language of all mathematics and how axiomatic set theory benefits from advances in logic. Chapters are written to be accessible and formative for majors in mathematics, computer science, and philosophy. The author presents the important tools and topics including relations and functions, the concept of order, induction and inductive definitions, Cantors diagonalisation as well as ordinals and cardinals. The axioms of (ZFC) set theory are introduced with natural axiomatizations and informal justifications, which is relatively distinctive. Interesting topics such as computing the support of sets by a recursively defined function and the von Neumann Hierarchy are included.
The Foundations of Logic.- (Axiomatic) Set Theory.- The Axiom of
Choice.- The Natural Numbers: Transitive Closure.- Order.- Cardinality.
Format: Hardback, 163 pages, height x width: 235x155 mm, 68 Illustrations, color; 2 Illustrations, black and white
Series: Intelligent Control and Learning Systems
Pub. Date: 13-Jun-2026
ISBN-13: 9789819591787
This book presents a unified set theory-based framework for spacecraft dynamics and control under multi-source uncertainties and data-sparse conditions. First, it develops reduced-order modeling techniques for high-dimensional spacecraft dynamics by introducing interval and convex set-based uncertainty descriptions, enabling efficient model reduction while rigorously quantifying unknown-but-bounded uncertainties without reliance on large-sample statistical assumptions. Second, the book addresses spacecraft attitude determination, attitude dynamics and control problems under uncertainty, establishing interval and convex set-based formulations for attitude dynamics and different control methods, including optimal control, sliding mode control, and periodic control, and systematically integrating non-probabilistic time-dependent reliability analysis into the dynamics and control design process to simultaneously account for performance and safety requirements. Finally, the proposed methodologies are extended to rigidflexible coupling spacecraft, where attitude motion and structural vibration interact under uncertain conditions, and set theory-based spacecraft dynamics, optimal control and bounded model predictive control strategies are developed to achieve coordinated attitudevibration suppression with guaranteed reliability and computational efficiency. Overall, the book provides a systematic methodology that links uncertainty dynamics, control synthesis, and reliability-based design optimization, offering both solid theoretical foundations and practical tools for the dynamics and control of advanced spacecraft operating in uncertain and data-limited environments.
Introduction.- Interval-oriented Reduced-order Model for Uncertain
Systems.- Convex Model-based Reduced-order Model for Uncertain Control
Systems.- Uncertain robust attitude determination based on set theory.-
Uncertain optimal attitude control for space power satellite based on
interval Riccati equation with non-probabilistic time-dependent reliability.-
Uncertain iterative optimal attitude control method for periodic satellite
with reliability constraint.- Reliability-constrained uncertain spacecraft
sliding mode attitude control with set theory.- Reliability-constrained
optimal attitude-vibration control for rigid-exible coupling satellite using
interval dimension-wise analysis.- Bounded model predictive control for
rigid-flexible coupling satellite with reliability constraint.-
Hybrid-uncertainty-based attitude control for rigid-flexible satellite
considering degradation and non-probabilistic reliability.
Format: Paperback / softback, 328 pages, height x width: 235x155 mm, 117 Illustrations, color; 99 Illustrations, black and white
Series: Bolyai Society Mathematical Studies
Pub. Date: 23-Jun-2026
ISBN-13: 9783032134936
This volume is based on lecture series of two Summer Schools in 2024: the Simons Collaboration Summer School "New structures in low-dimensional topology" (Budapest, Hungary) and the Georgia Topology Summer School "Knotted surfaces in four-manifolds" (Athens, Georgia, USA). These notes provide a glimpse to several novel methods and results in low dimensional topology. Indeed, the lectures on "Instanton Floer homology and applications" (by Mrowka and Baldwin) give a detailed account on instanton invariants, apply it in the sutured setting, and provide results regarding the minimal genus problem. Novel invariants are discussed in the lectures of Gukov and Park and provide a close connection to theoretical physics. The lectures of Lobb and Greene on the square peg problem give an up-to-date account regarding the solution of this simple-looking, more than 100 years old problem on the plane. The lectures of Maggie Miller describe knotted surfaces in the 4-dimensional sphere, while the lectures of Mark Hughes provide a diagrammatic approach to the same problem. Arunima Ray's lectures also deal with surfaces, but in this case, the embedding is not necessarily smooth, only 'locally flat'. Kyle Haydens lectures connect link homologies to the study of surfaces in four-dimensional spaces. Finally, the lectures of Stipsicz recall the construction of invariants for four-dimensional manifolds and examine the genus function of a four-manifold using these tools.
Chapter 1. Instanton Floer homologies and applications.
Chapter 2. New quantum invariants from braiding Verma modules.
Chapter 3. An introduction to symplectic geometry and instricption problems.
Chapter 4. Concordance of surfaces in 4-manifolds.
Chapter 5. Constructing locally flat surfaces in 4-manifolds.
Chapter 6. Knotted surfaces in 4-manifolds and their diagrams.-
Chapter 7. Link homologies and knotted surfaces.
Chapter 8. Four lectures on smooth four-manifolds.
Format: Hardback, height x width: 235x155 mm, Approx. 300 p.
Series: Trends in Mathematics
Pub. Date: 19-May-2026
ISBN-13: 9783032218063
This volume is a collection of short summaries of reports from lectures delivered at Tbilisi Analysis & PDE seminars and workshops in 2024. The contributions present some new developments and ideas in differential equations, mathematical analysis, harmonic analysis, inequalities, integral equations, and applications. In particular, it contains some applications and several open questions as a source of inspiration for further research. The Tbilisi Analysis & PDE seminars are held bi-weekly since 2019, and the workshop is organized every year since 2023. Researchers in the named fields will find this volume useful.
Format: Hardback, 438 pages, height x width: 235x155 mm, 20 Illustrations, color; 14 Illustrations, black and white
Series: Bolyai Society Mathematical Studies
Pub. Date: 18-Jul-2026
ISBN-13: 9783032188090
Chapter 1. Some extremal problems of zero-sum theory in Additive Combinatorics.
Chapter 2. Problems and results in Extremal Combinatorics V.
Chapter 3. Monotone Boolean Reconstruction.
Chapter 4. A Survey on Ordered Ramsey Numbers.
Chapter 5. Structure and Noise in Dense and Sparse Random Graphs:
Percolated Stochastic Block Model via the EM Algorithm and
Belief Propagation with Non-Backtracking Spectra.
Chapter 6. Disjoint zero-sum subsets in Abelian groups and their application: A survey.
Chapter 7. A Stopping Game on Zero-Sum Sequences.
Chapter 8. Effective MC-finiteness.
Chapter 9. An overview of property B.
Chapter 10. A Survey of the Holroyd-Talbot Conjecture.
Chapter 11. A Survey of Cameron-Liebler Sets and Low Degree Boolean Functions in Grassmann Graphs.
Chapter 12. Results and Problems on Equitable Coloring of Graphs.
Chapter 13. Delta-system method: A survey.
Chapter 14. Recent advances in arrow relations and traces of sets.
Chapter 15. Transversal Structures in Graph Systems: A Survey.
Chapter 16. Generalizations of the Crossing Lemma.-
Chapter 17. Recent Progress in Ramsey Theory.
Chapter 18. Developments of the shifting method in extremal set theory.
Format: Hardback, height x width: 235x155 mm, 36 Illustrations, black and white
Series: Graduate Texts in Mathematics
Pub. Date: 05-Jun-2026
ISBN-13: 9783032244826
This book offers advanced undergraduates, graduate students, and researchers a comprehensive introduction to both the classical and modern Calculus of Variations. It can serve as the main text for a lecture course, the foundation for a reading seminar, or as a companion for independent study. This thoroughly revised second edition features numerous improvements, including the addition of several new topics, an enhanced order of presentation, and expanded references to the literature. Starting with a string of motivating examples, the first half of the book presents the central elements of the classical theory, including the Direct Method, the EulerLagrange equation, Lagrange multipliers, Noethers theorem, and some regularity theory. Using the efficient framework of Young measures, the text then develops the vectorial theory of integral functionals, covering quasiconvexity, polyconvexity, relaxation, and -convergence. The second half of the book introduces more recent developments, some of which have previously been accessible only in the research literature. Topics treated in detail include rigidity for differential inclusions, microstructure, convex integration, concentrations in measures, linear growth functionals on functions of bounded variation (BV), and generalized Young measures. The reader is expected to be familiar with vector analysis, functional analysis, basic measure theory, and some Sobolev space theory; essential preliminaries are reviewed in an appendix.
Part I: Basic Course.- 1 Introduction.- 2 Convexity.- 3 Variations.- 4
Young Measures.- 5 Quasiconvexity.- 6 Polyconvexity.- 7 Relaxation.- 8
Quasiconvexity vs. Rank-One Convexity.- 9 -Convergence.- Part II: Rigidity &
Microstructure.- 10 Rigidity.- 11 Microstructure.- 12 Convex Integration.-
Part III: Linear-Growth Theory.- 13 Concentrations.- 14 Linear-Growth
Functionals.- 15 Generalized Young Measures.- Appendix A: Prerequisites.
Format: Hardback, 456 pages, height x width: 235x155 mm, 30 Illustrations, color; 5 Illustrations, black and white
Series: Springer Proceedings in Mathematics & Statistics
Pub. Date: 10-Jun-2026
ISBN-13: 9783032213648
This book highlights the latest advances in algebraic and analysis structures, stochastic structures, and their applications. This book is devoted to mathematical notions, methods, structures, concepts, problems, algorithms, and computational methods important in natural sciences, engineering, and modern technology. In particular, this book features Volume 1: Stochastic processes, mathematical statistics, mathematical analysis, and applications to financial engineering and other applied areas. Volume 2: Mathematical methods and models from noncommutative and non-associative algebras and rings, special functions and q-analysis, topology, dynamical systems, representation theory, operator theory, and functional analysis and applications of algebraic and analysis structures. This book gathers selected, high-quality contributed chapters from several large research communities working on modern analysis, algebra, and stochastic structures and their applications. The chapters cover both theory and applications and are illustrated with a wealth of ideas, theorems, notions, proofs, examples, open problems, and findings on interplay of algebraic structures with other parts of Mathematics and with applications to help readers grasp the material, and to encourage them to develop new mathematical methods and concepts in their future research. Presenting new methods and results, reviews of cutting-edge research, and open problems and directions for future research; the authors serve as a source of inspiration for a broad range of researchers and research students in mathematics, theoretical physics, and other relevant areas of natural science and engineering.
The contributions originate from the International Conference "Exploring the World of Mathematical Structures", held in May 2024 at the Division of Mathematics and Physics, Mälardalen University in Västerås, within the framework of the Nordplus Baltic-Nordic network FinEng2023, and also reflect outcomes of ongoing cooperation and exchange between Sweden and several African countries, aimed at advancing research and research education in mathematics and its applications, supported by the Swedish International Development Cooperation Agency (Sida), and collaboration with researchers from Europe, America and Asia during the period 20202024.
Properties of the Shannon, Rényi and other entropies: dependence in
parameters, robustness in distributions and extremes.- Entropy of Wiener
integrals with respect to fractional Brownian motion.- Representations of
polynomial covariance type commutation relations by linear integral operators
with separable kernels in 𝐿 𝑝 spaces.- Two-Sided Bounds for
Dihedral Angle Sums of Polygonal Pyramids.- Exotic options in fractal
activity time models with the Student distribution of log-returns.- Isotropic
Random Cross-Sections of Homogeneous Vector Bundles.- Stochastic modelling
for biological pest control.- Regime-Switching and Smooth Transition Time
Series Models Based on Latvian Economic Data.- Fractal Random Variables
Defined by Probability Distributions of Digits of Their
𝐺2-representation Having Two Bases with Different Signs.- On the
Lebesgue structure of the distribution of a random variable defined by
continued 𝐴2-fractions.