Format: Hardback, 380 pages, height x width: 235x155 mm, 12 Illustrations, color; 27 Illustrations, black and white; X, 340 p. 50 illus., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 456
Pub. Date: 02-Oct-2024
ISBN-13: 9789819737772
This book is the result of research initiatives formed during the workshop "Low Dimensional Topology and Number Theory XIII" at Kyushu University in 2022. It is also dedicated to the memory of Professor Toshie Takata, who has been a main figure of the session chairs for the series of annual workshops since 2009.
The activity was aimed at understanding and deepening recent developments of lively and fruitful interactions between low-dimensional topology and number theory over the past decades.
In this volume of proceedings, the reader will find research papers as well as survey articles, including open problems, at the interface between classical and quantum topology, and algebraic and analytic number theory, written by leading experts and active researchers in the respective fields.
Topics include, among others, the strong slope conjecture; KashiwaraVergne Lie algebra; braids and bered double branched covers of 3-manifolds; TemperleyLiebJones category andconformal blocks; WRT invariants and false theta functions; the colored Jones polynomial of the gure-eight knot; potential functions and A-polynomials; l-adic Galois polylogarithms; DijkgraafWitten invariants in Bloch groups; analogies between knots and primes in arithmetic topology; normalized Jones polynomials for rational links; Iwasawa main conjecture; Webers class number problem.
The book provides a valuable resource for researchers and graduate students interested in topics related to both low-dimensional topology and number theory.
K. L. Baker, K. Motegi and T. Takata, The Strong Slope Conjecture and
crossing numbers for Mazur doubles of knots.- H. Furusho and N. Komiyama,
Notes on Kashiwara-Vergne and double shuffle Lie algebras.- S. Hirose and E.
Kin, Braids, entropies and fibered 2-fold branched covers of 3-manifolds.- T.
Kohno, Homological representations of braid groups at roots of unity and the
space of conformal blocks.- T. Matsusaka, Hikamis observations on unified
WRT invariants and false theta functions.- H. Murakami and Anh T. Tran, On
the asymptotic behavior of the colored Jones polynomial of the figure-eight
knot associated with a real number.- J. Murakami and A. T. Tran, Potential
function, A-polynomial and Reidemeister torsion of hyperbolic links.- H.
Nakamura and D. Shiraishi, Landens trilogarithm functional equation and
-adic Galois multiple polylogarithms.- T. Ohtsuki, On the Bloch groups of
finite fields and their quotients by the relation corresponding to a
tetrahedral symmetry.- R. Tange, On adjoint homological Selmer modules for
SL2-augmented tautological representations of knot groups.- J. Ueki and A.
Yasuda, A note on units and surfaces.- M. Wakui, ??-deformed integers
derived from pairs of coprime integers and its applications.- Z. Wojtkowiak,
Canonical One-cocycle and Main Conjecture, I.- Hyuga Yoshizaki, Webers class
number problem and its variants.
Format: Hardback, 284 pages, height x width: 235x155 mm, 94 Illustrations, color; 23 Illustrations, black and white; X, 490 p., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 457
Pub. Date: 06-Sep-2024
ISBN-13: 9783031586644
The present book contains the proceedings of the 14th International Symposium on Continuum Models and Discrete Systems (CMDS14) held in Paris in June 2023. It contains 21 contributions that cover a broad range of topics in the wide field of mechanics and physics of heterogeneous media for discrete and continuous systems, from image analysis to models of random structures and to homogenization. The sessions in the CMDS conference series cover, in particular, the modeling of complex heterogeneous systems and metamaterials, structures and composites with extreme properties, deformable solids with microstructures, generalized continua, fracture and defect dynamics, fatigue, design of structured and architectured materials, micro and nanostructures, thermodynamics, transport theory and multiphysics coupling and methods ranging from homogenization theories to optimal design and machine-learning frameworks. Papers in the present volume are organized according to the following six main topics: probabilistic models, homogenization, solid mechanics, architectured materials, optics and metamaterials, machine learning methods.
F. Willot, J. Dirrenberger, A. Cherkaev, S. Forest, D. Jeulin,
Proceedings of the 14th International Symposium on Continuum Models and
Discrete Systems.- C. Soize, Probabilistic learning inference constrained by
an uncertain model and a target: A general method with application to
elasticity homogenization without scale separation.- M. Ostoja-Starzewski,
Tensor Random Fields.- C. Lantuejoul, X. Freulon, A. Krivcenko and M.
Pereira, Continuous simulation of heterogeneous media: The Karhunen-Lo?ve
approach versus the turning bands method.- L. Moutin, C. Duguay, L. Fayette,
A. King, R. Masson and M. Bornert, Morphological models of networks of
inter-granules micropores: identification and validation based on 2D and 3D
imaging.- L. L. Bonilla, Collective motion of epithelial cells in tissues and
the active vertex model.- A. Cherkaev, Structure of fields in extremal 2D
conducting multimaterial composites.- L. M. Fernandes, P. Rieder, M. Neumann,
A. Mulard, H. Proudhon, V. Schmidt and F. Willot, Effect of crystallographic
twins on the elastoplastic response of polycrystals.- F. Ongaro, K. Mathis,
F. Masson and J. Dirrenberger, Continuum modelling of orthotropic hexatruss
lattice materials: effective stiffness and experimental validation.- D.
Philippe, B. Vieille and F. Barbe, Experimental characterization and
numerical modeling of the porosity formation mechanisms in thermoplastic
laminates at high temperature.- K. Sab and J. Bleyer, An Adaptive Version of
the Eyre-Milton Solution Scheme for FFT-based Homogenization of Composites.-
H. Askes, M. Lombardo and Duc C.D. Nguyen, A stabilised micropolar theory
derived from a periodic beam lattice.- A. Kandiah, Ian S. Jones, N. V.
Movchan and A. B. Movchan, Interaction between gravity and gyroscopic forces:
transient control of gyropendulums and inverted gyropendulums.- E. Kogan, On
the kinks, the solitons and the shocks in discrete nonlinear transmission
line.- Y. M. Strelniker and D. J. Bergman, Manipulation of the optical
properties of a plasmonic metamaterial film by an external transverse
voltage.- A. Acharya, Variational principle for a damped, quadratically
interacting particle chain with nonconservative forcing.- A. Leichner, H.
Andra, T. Palmer, F. Wenz and C. Eberl, Optimal Design of Programmable
Mechanical Metamaterials.- Amy Novick-Cohen, D. Goldberg, K. Golubkov and R.
Tarabeh, Modeling multi-grain multi-hole thin solid state films.- M.
Mohammadi, S. Velasco-Forero, F. Willot, M. Sangalli and J. Angulo, Choquet
Capacity networks for random point process classification and regression.- K.
Schladitz, C. Redenbach, T. Barisin, C. Jung, N. Jeziorski, L. Bosnar, J.
Fulir and P. Gospodneti, Simulation of microstructures and machine
learning.- I. M. Gitman, R. Tu and L. Susmel, Fuzzy inference system for
fatigue parameters prediction in metals: from strength to fatigue.- S.
Kushwaha, J. He, D. Abueidda and I. Jasiuk, Using neural networks to explore
structure-property relations in bio-inspired impact-resistant structures.
Format: Hardback, 238 pages, height x width: 235x155 mm, 39 Illustrations, color; 21 Illustrations, black and white; X, 230 p., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 458
Pub. Date: 15-Sep-2024
ISBN-13: 9789819726394
This book features carefully selected research papers presented during the 9th International Conference on Discrete Mathematics and Mathematical Modelling in the Digital Era (ICDMMMDE-2023). The conference, organised at the Department of Mathematics, The Gandhigram Rural Institute in Gandhigram, Tamil Nadu, India, took place from 2325 March 2023. Serving as a dynamic platform, the event attracted emerging researchers, mathematicians, industrialists, scientists, and engineers from across the globe, fostering discussions on pertinent research topics. This volume showcases noteworthy contributions from esteemed researchers within the realm of discrete mathematics and mathematical modeling, meticulously subjected to a rigorous peer-review process for publication. The included papers delve into diverse subjects, including controllability, image processing, topology, graph theory, fuzzy delay differential equations, analysis, queuing theory, and applications in networks and biology. Theculmination of these contributions forms a comprehensive and authoritative resource for scholars and professionals alike.
B. Ram Kumar, P. Balasubramaniam and Kurunathan Ratnavelu, The
Approximate Controllability of the Second-Order Hilfer Fractional
Integrodifferential Equations via Measure of Non-Compactness.- R. Vijay
Aravind, P. Balasubramaniam and Mahyar Mahinzaeim, Fuzzy Fault Tolerant
Controller Design for Switched Nonlinear Systems via Mode-Dependent Average
Dwell Time Scheme.- K. Ezhilarasan, S. Praveenkumar, K. Somasundaram, T.
Kalaiselvi, S. Kiruthika and A. Jeevarekha, A Novel Distance Transform for
Brain Extraction From T1 Weighted MRI of Human Head Scans.- R. Uthayakumar
and J. Grace Margrate Mary, Some Fixed-Point Theorems in Asymmetric Strong
B-Metric Space.- L. Praveenkumar, G. Mahadevan, C. Sivagnanam and Sanjay K.
Tyagi, Explicating the Exact CD Value for the Tensor Product of Graphs.- V.
P. Ananthi and Vetri Kandasamy, Automated Edge Detection Technique using
Fractional Mask in Fuzzy Domain.- K. Priya, G. Mahadevan, C. Sivagnanam and
Sanjay Kumar Tyagi, CTATD Number for Power Graph of Some Special Graphs and
Tadpole Graph.- W. Evangeline Lydia and J. Vijaya Xavier Parthipan,
Restrained Star Edge Coloring of Cartesian Product of Some Graphs.- G. B.
Priyanka, J. Catherine Grace John and P. Xavier, Divisor 2-Equitable
Dominatio in Fuzzy Graphs.- C. K. Akhil and Suresh G. Singh, Graph
Theoretical Analysis of Endomorphin.- Ch. Subba Reddy, T. L. Yookesh, Renuka
Kolandasamy and K.S. Keerthika, An Analysis of the Convergence of Numerical
Method for Solving the Fuzzy Delay Differential Equation.- X. M. Jeffin
Varunnya and P. Gnanachandra, Invariant Points For Kannan Contraction and
Reich Type Contraction in Strong Altering JS-Metric.- S. Nivetha Therasal and
M. Thiagarajan, Poisson Input and Exponential Service Time Finite Population
Interdependent Queueing Model Having Parallel Servers with Breakdown and
Controllable Arrival Rates.- K.H. Rahim and M. Thiagarajan, M/M (a, b) /1/K/N
Controlled Arrival Rate and Interdependent Queueing Model.- D. Jeba Ebenezer
and J. Vijaya Xavier Parthipan, Secure Detour Domination.- S. Sharmila Banu
and A. Prasanna, Solving Fuzzy Congruence Modulo Transportation Problem using
Bipartite Graph with Optimal Solution.- S. Priya and B. Ganga, Slip Effects
on MHD Boundary Layer Flow Over a Poignant Tinny Needle with Thermal
Radiation and Viscous Dissipation.- R. Karthika and N. Mohanapriya,
Dissimilarity between Dominator and Total Dominator Coloring of Certain
Graphs.
Format: Hardback, 188 pages, height x width: 235x155 mm, 2 Illustrations, color; V, 162 p. 4 illus., 1 Hardback
Series: Linear Operators and Linear Systems 303
Pub. Date: 10-Sep-2024
ISBN-13: 9783031637674
This book establishes a comprehensive theory to treat square roots of elliptic systems incorporating mixed boundary conditions under minimal geometric assumptions. To lay the groundwork, the text begins by introducing the geometry of locally uniform domains and establishes theory for function spaces on locally uniform domains, including interpolation theory and extension operators. In these introductory parts, fundamental knowledge on function spaces, interpolation theory and geometric measure theory and fractional dimensions are recalled, making the main content of the book easier to comprehend. The centerpiece of the book is the solution to Kato's square root problem on locally uniform domains. The Kato result is complemented by corresponding $L^p$ bounds in natural intervals of integrability parameters.
This book will be useful to researchers in harmonic analysis, functional analysis and related areas.
Introduction.- Locally uniform domains.- A density result for locally
uniform domains.- Sobolev extension operator.- A short account on sectorial
and bisectorial operators.- Elliptic systems in divergence form.- Porous
sets.- Sobolev spaces with a vanishing trace condition.- Hardys inequality.-
Real interpolation of Sobolev spaces.- Higher regularity for fractional
powers of the Laplacian.- First order formalism.- Katos square root property
on thick sets.- Removing the thickness condition.- Interlude: Extension
operators for fractional Sobolev spaces.- Critical numbers and Lp Lq
bounded families of operators.- Lp-bounds for the H1-calculus and Riesz
transform.- CalderLonZygmund decomposition for Sobolev functions.- Lp bounds
for square roots of elliptic systems.- References.- Index.
Format: Hardback, 385 pages, height x width: 235x155 mm, 17 Illustrations, black and white; Approx. 350 p. 1 illus. in color., 1 Hardback
Pub. Date: 12-Oct-2024
ISBN-13: 9783031613289
This book is a compilation of unpublished papers written by Jean-Marie Rolin (with several co-authors) on nonparametric bayesian estimation. Jean-Marie was professor of statistics at University of Louvain and died on November 5th, 2018. He made important contributions in mathematical statistics with applications to different fields like econometrics or biometrics.These papers cover a variety of topics, including:
The Mathematical structure of the Bayesian model and the main concepts (sufficiency, ancillarity, invariance)
Representation of the Dirichlet processes and of the associated Polya urn model and applications to nonparametric bayesian analysis.
Contributions to duration models and to their non parametric bayesian treatment.
Chapter 1. On the a-Algebraic Realization Problem.
Chapter 2. Weak Conditional Independence And Relative Invariance in Bayesian Statistics.-
Chapter 3. Some Useful Properties of the Dirichlet Process.
Chapter 4. On the Distribution of Jumps of the Dirichlet Process.
Chapter 5. Bayes, Bootstrap, Moments.
Chapter 6. Smooth vs. likelihood estimation for a class of mixtures of discrete distributions.
Chapter 7. Bayesian Encompassing Specification Tests of a Parametric Model against a Non Parametric Alternative.
Chapter 8. Nonparametric Bayesian Survival Analysis.
Chapter 9. Simulation of Posterior Distributions in Nonparametric Censored Analysis.
Chapter 10. Bayesian Identification of Semi-Parametric Binary Response Models.
Chapter 11. Survival Data with Explanatory Processes: A Full Nonparametric Bayesian Analysis.
Chapter 12. Nonparametric Competing Risks Models: Identification and Strong Consistency.
Format: Hardback, 200 pages, height x width: 279x210 mm, 565 Illustrations, black and white; VIII, 202 p. 299 illus., 1 Hardback
Series: Problem Books in Mathematics
Pub. Date: 21-Sep-2024
ISBN-13: 9783031641848
This book presents a carefully curated selection of mathematical problems suitable for young minds aged 12 and beyond. Most of these problems have been adapted from the Durer Competition, a venerable mathematics competition in Hungary renowned for fostering teamwork and encouraging creative thinking in the realm of mathematical problem-solving.
Within the pages of this book, readers are invited to accompany Albrecht, Tarkal, and Zsordi on 14 captivating journeys to the enigmatic Island of Oxisz, where they will encounter a total of 84 thought-provoking problems. Some of these challenges are intricately interconnected, elevating the level of difficulty. The concluding section provides comprehensive solutions and helpful hints, illuminating the paths taken by the three friends to tackle the problems.
No specialized prior knowledge is required beyond a solid foundation in
mathematics from the first seven years of school. Nevertheless, many problems
in the book demand original ideas or clever combinations of elementary
principles. This book offers students, mathematics educators, and trainers
alike a captivating glimpse into a distinctive competition, making it a
valuable resource for cultivating problem-solving skills at an early age
Preface.- Problems.- Discover the Island of Oxisz.- Painting with Boat
and Barrel.- Skiing between Frez and Gard.- Football in Brasso.- Can I lock
the cat in the mill?.- The Trick to Making Moles Disappear.- The Rejuvenating
grandma is baking a pie.- Reconcilable Differences.- How Many Centimeters is
a Dessert?.- Self-intersecting Tic-Tac-Toe.- Flowers on the Tiles of the
Housing Estates.- Trolleybus on the Oktogon.- Bloody Serious Problems.- Icing
on the Cake: Really Difficult Problems.- Hints.- Solutions.- Discover the
Island of Oxisz.- Painting with Boat and Barrel.- Skiing between Frez and
Gard.- Football in Brasso.- Can I lock the cat in the mill?.- The Trick to
Making Moles Disappear.- The Rejuvenating grandma is baking a pie.-
Reconcilable Differences.- How Many Centimeters is a Dessert?.-
Self-intersecting Tic-Tac-Toe.- Flowers on the Tiles of the Housing Estates.-
Trolleybus on the Oktogon.- Bloody Serious Problems.- Icing on the Cake:
Really Difficult Problems.- Sources.