Format: Hardback, 458 pages, height x width: 235x155 mm, 48 Illustrations, color;
1 Illustrations, black and white; X, 458 p. 49 illus., 48 illus. in color., 1 Hardback
Pub. Date: 20-Jul-2025
ISBN-13: 9789819654826
This book is a monograph about hybrid networks of singular and non-singular, 1-dimensional flows and equilibriums in self and product polynomial systems. The higher-order singular 1-dimensional flows and singular equilibriums are for the appearing bifurcations of lower-order singular and non-singular 1-dimesnional flows and equilibriums. The infinite-equilibriums are the switching bifurcations for two associated networks of singular and non-singular, 1-dimensional flows and equilibriums. The corresponding mathematical conditions are presented, and the theory for nonlinear dynamics of self and product polynomial systems is presented through a theorem. The mathematical proof is completed through the local analysis and the first integral manifolds. The illustrations of singular 1-diemsnional flows and equilibriums are completed, and the sampled networks of non-singular 1-dimensional flows and equilibriums are presented.
Self and Product Polynomial Systems.- Proof of Theorem 1.1.- Singular
Equilibria and Flows, and Simple Networks.
************************************************************************************
Format: Hardback, 118 pages, height x width: 235x155 mm, 9 Illustrations, color; VIII, 118 p. 9 illus. in color., 1 Hardback
Pub. Date: 12-Jul-2025
ISBN-13: 9789819655144
This book is a monograph about 1-dimensional flow arrays and bifurcations in constant and product polynomial systems. The 1-dimensional flows and the corresponding bifurcation dynamics are discussed. The singular hyperbolic and hyperbolic-secant flows are presented, and the singular hyperbolic-to-hyperbolic-secant flows are discussed. The singular inflection source, sink and upper, and lower-saddle flows are presented. The corresponding appearing and switching bifurcations are presented for the hyperbolic and hyperbolic-secant networks, and singular flows networks. The corresponding theorem is presented, and the proof of theorem is given. Based on the singular flows, the corresponding hyperbolic and hyperbolic-secant flows are illustrated for a better understanding of the dynamics of constant and product polynomial systems.
Constant and Product Polynomial Systems.- Proof of Theorem 1.1.-
Singular flows bifurcaions and networks.
***********************************************************************************
Bibliog. data: 2025. x, 362 S. X, 362 p. 16 illus. 235 mm
Series: Mathematics in Mind
ISBN-13: 9783031864766
This book addresses the well-known capability and flexibility of classical and constructive semigroups (inherited from algebraic structures), to model, solve problems in extremely diverse situations, and develop interesting new algebraic ideas with many applications and connections to other areas of mathematics (logic, biomathematics, analysis, geometry, etc.), natural sciences, engineering and life sciences, interconnections between semigroups, cognitive sciences, social sciences, arts and humanities. The book promotes the idea that algebra came at the core of interdisciplinarity, belongs to all life disciplines, and serves in a variety of mathematics applications. It focuses on recent developments in classical and constructive semigroups, and other basic algebraic structures as well as on some of their potential applications in other fields. Further, it helps shed light on ways in which classical and constructive semigroups have been developing and applying in various domain
s, and extended with other sciences. The content is based on contributions of an international team of renowned scientists with expertise in different disciplines of mathematics, classical and constructive semigroups, other algebraic structures and their applications in logic, cognitive sciences, linguistics, biology, machine learning, and collective phenomena.
Chapter 1: Three themes in the development of classical semigroup theory.- Chapter 2: Introduction to inverse semigroups.- Chapter 3: A journey through constructive inverse semigroups with apartness.- Chapter 4: On graph inverse semigroups.- Chapter 5: Unification via projectivity in varieties of hoops.- Chapter 6: From Krasner s Graded to Krasner Vukovic s Paragraded Groups and Rings.- Chapter 7: Transformation semigroups and their applications.- Chapter 8: Markov semigroup approach to evolution equations.- Chapter 9: Inverse Semigroups and Omaha Kinship.- Chapter 10: Set-theoretical considerations and zero-division on hom-associative algebras.- Chapter 11: Hom-Lie Structure of Generalized (2)-type.
Melanija Mitrovic is a Full Professor at the University of Ni , Serbia, having received her PhD degree at the same university. She works in the field of classical and constructive algebra. Her innovating work within the theory of constructive binary structures with apartness positions her among the pioneers of constructive mathematics in Serbia. She develops interdisciplinary research investigating applications of algebraic structures to problems in engineering space, social sciences and humanities. She is, also, the Head of the Center of Applied Mathematics of the Faculty of Mechanical Engineering Ni , CAM- FMEN (since 2019), a member of the Editorial Board of Mathematics in Mind, Springer; a member of the Fields Cognitive Science Network. She holds the status of Permanent Full Professor at the International Chair in Mathematical Physics and Applications (ICMPA-UNESCO Chair), University of Abomey-Calavi, Benin Republic. She has held visiting professor positions at Linkoping U
niversity and Malardaren University, Sweden; Bar-Ilan University, Israel; TU Wien, Austria; UTAD and University of Minho, Portugal; and Politecnico di Milano, Italy.Mahouton Norbert Hounkonnou is a Full Professor of Mathematics and Physics at the University of Abomey-Calavi, Benin Republic. His works deal with noncommutative and nonassociative mathematics and complexity, focusing on algebraic structures and geometric methods in integrable systems
**************************************************************************
Bibliog. data: 2025. x, 381 S. X, 381 p. 48 illus. 235 mm
Series: Springer Texts in Statistics
ISBN-13: 9783031904936
This book is an introduction to the theory of causal inference in observational studies. An observational study draws inferences about the effects caused by treatments or preventable exposures when randomized experimentation is unethical or infeasible. An observational study is distinguished from an experiment by the problems that follow from the absence of randomized assignment of individuals to treatments. Observational studies are common in most fields that study the effects of treatments or policies on people, including public health and epidemiology, economics and public policy, medicine and clinical psychology, and criminology and empirical legal studies. After Part I reviews causal inference in randomized experiments, the twelve short chapters in Parts II, III and IV introduce modern topics: the propensity score, ignorable treatment assignment, the principal unobserved covariate, algorithms for optimal matching, randomized reassignment techniques for apprai
sing the covariate balance achieved by matching, covariance adjustment, sensitivity analysis, design sensitivity, ways to design an observational study to be insensitive to larger unmeasured biases, the large sample efficiency of a sensitivity analysis, quasi-experimental devices that provide observable information about unmeasured biases, evidence factors and complementary analyses to address unmeasured biases.The book is accessible to anyone who has completed an undergraduate course in mathematical statistics. The subject is developed with the aid of two simple empirical examples concerning the health benefits or harms caused by consuming alcohol. The data for these examples and their reanalyses are freely available in an R package, iTOS, associated with Introduction to the Theory of Observational Studies.
Preface.- Part I First Steps.- 1. Examples of Observational Studies.-
2. Causal Inference in Randomized Experiments.- 3. Some Background Topics
in Statistics.- Part II Adjustments for Observed Covariates.- 4. Propensity
Scores and Ignorable Treatment Assignment.- 5. Algorithms for Matching.-
6. Evaluating the Balance of Observed Covariates.- 7. Covariance Adjustment.-
Part III Sensitivity of Inferences to Covariates That Were Not Observed.-
8. Sensitivity of Causal Inferences to Unmeasured Biases in Treatment Assignment.-
9. Design Sensitivity and the Choice of Statistical Methods.- 10. Study
Design and Design Sensitivity.- 11. Efficiency of Sensitivity Analyses.-
Part IV Quasi-experimental Devices.- 12. Known Effects in Observational
Studies.- 13. Evidence Factors for Two Control Groups.- 14. Tightened Blocks
for Complementary Analyses.- 15. A Look Back Along the Path Taken.- Some
Books and Articles About Causal Inference.- Notation.- Solutions to Selected
Problems.- Some Comments for Instructors.- Index.
Paul R. Rosenbaum is the Robert G. Putzel Professor Emeritus in the Department of Statistics and Data Science at the Wharton School of the University of Pennsylvania. He is the author of several books, including Observational Studies (1st edition 1995, 2nd edition 2002), Design of Observational Studies (1st edition 2010, 2nd edition 2020), Observation and Experiment: An Introduction to Causal Inference (2017), and Replication and Evidence Factors in Observational Studies (2021). In joint work, he and Donald B. Rubin invented the propensity score in 1983. For contributions to causal inference, he received from the Committee of Presidents of Statistical Societies the R. A. Fisher Award in 2019 and the George W. Snedecor Award in 2003.
***************************************************************************
Bibliog. data: 2025. x, 560 S. X, 560 p. 13 illus., 12 illus. in color. 235 mm
ISBN-13: 9783031893148
Ergodic theorems are a cornerstone of the theory of stochastic processes and their applications. This book is the second volume of a two-volume monograph dedicated to ergodic theorems. While the first volume centers on Markovian and regenerative models, the second volume extends the scope to semi-Markov processes and multi-alternating regenerative processes with semi-Markov modulation and delves into ergodic theorems with explicit power and exponential upper bounds for convergence rates for such processes.The book offers a powerful and constructive probabilistic framework by employing coupling ergodic theorems presented in the first volume in conjunction with the method of artificial regeneration and test functions. Theoretical findings are illustrated with applications to semi-Markov Monte Carlo algorithms and perturbed queuing systems featuring explicit convergence rate bounds. Many results presented in the book are groundbreaking, appearing in publication fo
r the first time.Designed with researchers and advanced students in mind, the content is thoughtfully structured by complexity, making it suitable for self-study or as a resource for upper-level coursework. Each chapter is self-contained and complemented by a comprehensive bibliography, ensuring its value as a long-lasting reference. An essential resource for theoretical and applied research, this book significantly contributes to the field of stochastic processes and will remain a key reference for years to come.
Preface.- Introduction.- Summary of Ergodic Theorems for Regenerative Processes.- Modifications of Hitting Times.- Birth-Death-Type Processes.- Semi-Markov Processes with Discrete State Spaces and Embedded Regenerative Processes.- Ergodic Theorems for Queuing Systems.- Semi-Markov Processes with General State Spaces with Atoms.- Semi-Markov Processes with General State Spaces and Distributional Atoms.- Semi-Markov Processes with General State Spaces and One-Step Artificial Regeneration.- Semi-Markov Processes with General State Spaces and Multi-Step Artificial Regeneration.- Multi-Alternating Regenerative Processes with Semi-Markov Modulation.- Multi-Alternating Regenerative Processes Modulating by Uniformly Recurrent Semi-Markov Processes.- Appendix A. Methodological and Bibliographical Notes.- References.- Index.
Dmitrii Silvestrov graduated from Kiev University (1968, Mathematics), Candidate of Science [ PhD], (1969, Mathematical Statistics), and Doctor of Science (1972, Mathematical Statistics). Awarded the Prize of the Moscow Mathematical Society (1973) and the Ukrainian Ostrovsky Prize (1977) for work on stochastic processes. Lecturer and Senior Lecturer (1970-1974), Professor (1974-1992, Department of Probability and Mathematical Statistics) and Head of the Statistical Research Centre (1980-1990) at Kiev University. Guest scientist at Umea University (1991-1992), Senior lecturer at Lulea University of Technology (1992-1994) and at Umea University (1994-1999). Visiting professor at the Hebrew University of Jerusalem (1993), University of Turku (1998), and University of Rome "La Sapienza" (2015). Professor at the Malardalen University from 1999 (Emeritus Professor from 2012) and Stockholm University from 2009 (Emeritus Professor from 2016). Member of the editorial boards of the jour
nals "Theory of Probability and Mathematical Statistics" and "Theory of Stochastic Processes". Coordinator of the four EU Tempus Projects. The main research areas are stochastic processes, actuarial and financial mathematics, and statistical software. Author of 13 books and more than 170 research papers. Supervised 22 doctoral students who subsequently obtained PhD degrees.
***************************************************************************
Bibliog. data: 2025. x, 529 S. X, 529 p. 16 illus., 15 illus. in color. 235 mm
ISBN-13: 9783031893100
Ergodic theorems are a cornerstone of the theory of stochastic processes and their applications.This volume delves into ergodic theorems with explicit power and exponential upper bounds for convergence rates, focusing on Markov chains, renewal processes, and regenerative processes. The book offers a powerful and constructive probabilistic framework by employing the elegant coupling method in conjunction with test functions. Theoretical findings are illustrated with applications to perturbed stochastic networks, alternating Markov processes, risk processes, quasi-stationary distributions, and the renewal theorem, all of which feature explicit convergence rate bounds. Many results presented here are groundbreaking, appearing in publication for the first time. This is the first volume of a two-volume monograph dedicated to ergodic theorems. While this volume centers on Markovian and regenerative models, the second volume extends the scope to semi-Markov processes
and multi-alternating regenerative processes with semi-Markov modulation.Designed with researchers and advanced students in mind, the content is thoughtfully structured by complexity, making it suitable for self-study or as a resource for upper-level coursework. Each chapter is self-contained and complemented by a comprehensive bibliography, ensuring its value as a long-lasting reference. An essential resource for theoretical and applied research, this book significantly contributes to the field of stochastic processes and will remain a key reference for years to come.
Preface.- Introduction.- Coupling for Random Variables.- Coupling and Ergodic Theorems for Finite Markov Chains.- Coupling and Ergodic Theorems for General Markov Chains.- Hitting Times and Method of Test Functions.- Approaching of Renewal Schemes.- Synchronizing of Shifted Renewal Schemes.- Coupling for Renewal Schemes.- Coupling and Ergodic Theorems for Regenerative Processes.- Uniform Ergodic Theorems for Regenerative Processes.- Generalized Ergodic Theorems for Regenerative Processes.- Coupling and the Renewal Theorem.- Appendix A. Basic Ergodic Theorems for Regenerative Processes.- Appendix B. Methodological and Bibliographical Notes.- References.- Index.
Dmitrii Silvestrov graduated from Kiev University (1968, Mathematics), Candidate of Science [ PhD], (1969, Mathematical Statistics), and Doctor of Science (1972, Mathematical Statistics). Awarded the Prize of the Moscow Mathematical Society (1973) and the Ukrainian Ostrovsky Prize (1977) for work on stochastic processes. Lecturer and Senior Lecturer (1970-1974), Professor (1974-1992, Department of Probability and Mathematical Statistics) and Head of the Statistical Research Centre (1980-1990) at Kiev University. Guest scientist at Umea University (1991-1992), Senior lecturer at Lulea University of Technology (1992-1994) and at Umea University (1994-1999). Visiting professor at the Hebrew University of Jerusalem (1993), University of Turku (1998), and University of Rome "La Sapienza" (2015). Professor at the Malardalen University from 1999 (Emeritus Professor from 2012) and Stockholm University from 2009 (Emeritus Professor from 2016). Member of the editorial boards of the jour
nals "Theory of Probability and Mathematical Statistics" and "Theory of Stochastic Processes". Coordinator of the four EU Tempus Projects. The main research areas are stochastic processes, actuarial and financial mathematics, and statistical software. Author of 13 books and more than 170 research papers. Supervised 22 doctoral students who subsequently obtained PhD degrees.
***************************************************************************
Format: Hardback, 406 pages, height x width: 235x155 mm, 42 Illustrations,
color; 4 Illustrations, black and white; XII, 406 p. 46 illus., 42 illus. in color.,
Series: Industrial and Applied Mathematics
Pub. Date: 25-Jul-2025
ISBN-13: 9789819648467
This book offers a comprehensive exploration of the Banach contraction principle and its many facets. A compilation of chapters authored by global experts, it is aimed at researchers and graduate students in mathematics. The content covers the Banach contraction principle, its generalizations, extensions, consequences and applications, focusing on both single-valued and multi-valued mappings across various spaces. While discussing theoretical foundations, this book uniquely emphasizes the practical applications of the Banach contraction principle in real-world problem-solving scenarios.
Each chapter addresses specific topics, including fractals, fractional differentials, integral equations, elastic beam problems and mathematical modeling and analysis of electrical circuits. These diverse subjects showcase the principlefs versatility in solving complex issues that go beyond theoretical mathematics. By highlighting Banachfs contraction principle as a lasting legacy, the book not only honours past mathematical achievements but also anticipates future innovations in industrial and applied mathematics. It underscores the enduring relevance of the principle, ensuring its continued prominence in mathematical discourse and its pivotal role in driving advancements across the field. This comprehensive exploration catalyzes inspiring future developments in mathematical research.
Common fixed point for pairs of Weakly compatible mappings using
F-contraction.- Coincidence points of mappings on relational metric Spaces
with applications.- Some fixed point result in m-metric space using different
contractions.- Application of common fixed point in the framework of b-metric
space via simulation function.- Relation-theoretic fixed point results in
extended Rectangular mr-metric spaces.- Julia fractals of complex-valued
cosine functions via fixed point iterations.- Some fixed-circle results with
mix-type contractions on metric spaces.- Application of fixed point
iterations in generation of fractals for higher-order complex polynomial.-
Rational type fixed-disc and common fixed-disc results on metric and s-metric
spaces via Geraghty type contractions.- Coupled Fixed Points in Ordered Fuzzy
Metric Spaces and an Elastic Beam Problem.- Data Dependence, Stability and
Convergence Rate of Novel Iterative Algorithm.- A New Generalization of
Metric Space and Banach Contraction Principle.- Trajectory and Exact
Controllability results on Impulsive Nonlocal Differential System with
Deviated Argument.- Banach contraction in Altering JS-metric space to
decipher aggregate voltage of electric circuit.- Common fixed point for
families of weakly subsequentially continuous mappings.