Edited by Siva Athreya, Edited by B. V. Rao, Edited by Abhay G. Bhatt

Probability and Stochastic Processes:
A Volume in Honour of Rajeeva L. Karandikar

Format: Hardback, 173 pages, height x width: 235x155 mm, 14 Illustrations, color; 10 Illustrations, black and white; VIII, 173 p. 24 illus., 14 illus. in color.,
Series: Indian Statistical Institute Series
Pub. Date: 06-May-2024
ISBN-13: 9789819999934

Description

The book collects papers on several topics in probability and stochastic processes. These papers have been presented at a conference organised in honour of Professor Rajeeva L. Karandikar who turned 65 in 2021. He has been an esteemed researcher, and a teacher at the Indian Statistical Institute (ISI), Delhi Centre, for many years. He has been a multi-faceted academician, interacting with the Government of India and the industry. He has left an indelible mark in every endeavour of his and in his several different avatarsbe it in the ISI, in the industry or as Director of Chennai Mathematical Institute. This book will be useful to senior undergraduate and graduate students, as well as researchers in probability, statistics and related fields.

Table of Contents

Rajeeva Laxman Karandikar an Appreciation.- Spectrum of High Dimensional
Sample Covariance and Related Matrices: a Selective Review.- Long Time
Behavior of Finite and Infinite Dimensional Reflected Brownian Motions.- a
Survey of Some Recent Developments in Measures of Association.- Fractal
Structure in the Directed Landscape.- Small Ball Probabilities for the
Stochastic Heat Equation.- Directed Spanning Forest for Ginibre Ensemble is a
Tree.- Convergence of Stochastic Approximation via Martingale and Converse
Lyapunov Methods.

Edited by Jose Seade, Edited by Felipe Cano, Edited by L? Dng Tr?ng, Edited by Jose Luis Cisneros-Molina

Handbook of Geometry and Topology of Singularities V: Foliations

Format: Hardback, height x width: 235x155 mm, Approx. 520 p.
Pub. Date: 19-May-2024
ISBN-13: 9783031524806

Description

This is the fifth volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. Singularities are ubiquitous in mathematics and science in general, and singularity theory is a crucible where different types of mathematical problems converge, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject, and in other subjects.

This Volume V focuses on singular holomorphic foliations, which is a multidisciplinary field and a whole area of mathematics in itself. Singular foliations arise, for instance, by considering:

The fibers of a smooth map between differentiable manifolds, with singularities at the critical points. The integral lines of a vector field, or the action of a Lie group on a manifold. The singularities are the orbits with special isotropy. The kernel of appropriate 1-forms. The singularities are the zeros of the form. Open books, which naturally appear in singularity theory as foliations with singular set the binding.

These important examples highlight the deep connections between foliations and singularity theory. This volume, like its companion Volume VI, also focused on foliations, consists of nine chapters, authored by world experts, which provide in-depth and reader-friendly introductions to some of the foundational aspects of the theory. These introductions also give insights into important lines of further research. The volume starts with a foreword by one of the current world leaders in the theory of complex foliations.

The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.

Table of Contents

1 Bruno Sc?rdua, Holomorphic foliations: singularities and local
geometric aspects.- 2 Yu. Ilyashenko, Persistence, uniformizanion and
holonomy.- 3 Laura Ortiz-Bobadilla, Ernesto Rosales-Gonz?lez and Sergei
Voronin, Holomorphic foliations and vector fields with degenerated
singularity in (C2, 0).- 4 David Mar?n, Jean-Francois Mattei and Eliane
Salem, Topology of singular foliation germs in C2.- 5 Nuria Corral, Jacobian
and polar curves of singular foliations.- 6 Dmitry Novikov and Sergei
Yakovenko, Rolle models in the Real and Complex world.- 7 Fernando Sanz
S?nchez, Half a century with the problem of the gradient of an analytic
function.- 8 Jose Manuel Aroca, Newton Polygon.- 9 Jorge Vitorio Pereira,
Closed meromorphic 1-forms.


Edited by Lili Chen, Edited by Deepak Singh, Edited by Mudasir Younis

Recent Developments in Fixed-Point Theory:
Theoretical Foundations and Real-World Applications

Format: Hardback, 410 pages, height x width: 235x155 mm, 20 Tables, color; 20 Illustrations, color;
5 Illustrations, black and white; XX, 410 p. 25 illus., 20 illus. in color.,
Series: Industrial and Applied Mathematics
Pub. Date: 15-May-2024
ISBN-13: 9789819995455

Description

This contributed book has a comprehensive collection of 18 carefully curated chapters that delve into the latest advancements in fixed-point theory and its diverse applications. It bridges the gap between theory and practicality, providing readers with a deep understanding of fundamental theorems related to the existence and uniqueness of maps. The book covers a wide array of applications, each showcasing the relevance of fixed-point theory in various domains. Readers will explore applications dealing with topological properties, the resolution of integral equations across multiple classes, nonlinear differential equations, fractional differential equations, dynamic programming problems, and engineering science-related challenges. This diverse range of topics ensures that the book caters to both theoretical researchers and practitioners seeking real-world solutions.

The primary feature of the book is the pictorial depictions of examples, making complex concepts more accessible and understandable. These visual representations enhance the learning experience, enabling readers to grasp the enunciated outcomes effortlessly. The book stands as an essential reference for scholars, researchers, and professionals interested in the theoretical foundations and practical implications of fixed-point theory. Its blend of theoretical insights and real-world applications makes it an indispensable addition to the field of mathematics and its interdisciplinary applications.

Table of Contents

A Careful Retrospection of Metric Spaces and Contraction Mappings with
Computer SimulationMudasir Younis, Deepak Singh and Lili Chen
Fixed-Point Theory for Multi-valued FengLiu Operators in Vector-Valued
Metric Spaces
Adrian Petrusel, Gabriela Petrusel and Jen-Chih Yao
Iterative Algorithms for the Split Equality Problem
Luoyi Shi
Some Fixed-Point Theorems of Generalized Contractions with Application to
Boundary-Value Problem
Rahul Shukla, Naveen Mani, S. S. Chauhan and Reeta Bhardwaj
Fixed Points of Coset and Orbit Space Actions: An Application of Semihypergroup Theory
Choiti Bandyopadhyay
Strange Chaotic Attractors and Existence Results via Nonlinear
Fractional-Order Systems and Fixed Points
Sumati Kumari Panda
On L-phi Solutions for n-Product of Fractional Integral Operators
Mohamed M. A. Metwali
New Fixed-Point Results of Multivalued Contraction Mappings in b-Metric Spaces
Taieb Hamaizia and Seddik Merdaci
Analysis of Fixed Points in Controlled Metric type Spaces with Applications
Haroon Ahmad
A Study of Fixed Point Results in G-metric Space via New Contractions with Applications
Jamilu Abubakar Jiddah, Huseyin Ik, Trad Alotaibi and Mohammed Shehu Shagari
A Note on the Existence of Fixed Points for Rational-Type Contraction Map on
Orthogonal Metric Space
Poonguzali G., Sri Bharathi R. and Stojan Radenovic
A Historical Survey on F-Contractions
Nicola Fabiano, Zoran Kadelburg, Nikola Mirkov and Stojan Radenovic
Fixed-Point Results in Graphical Convex Extended b-Metric Spaces
Mahpeyker Ozturk, Haroon Ahmad and Aadil Hussain Dar
Existence and Computational Approximation of Fixed Points in Banach Space
Liliana Guran, Khurram Shabbir and Khushdil Ahmad
Common Fixed-Point Results in Soft b-Metric Spaces with Applications
Vishal Gupta, Mohammad Saeed Khan, Aanchal and Naveen Gulati
Fixed-Point Results in Neutrosophic Rectangular Extended b-Metric Spaces
Salvatore Sessa, Naeem Saleem, Umar Ishtiaq, Khaleel Ahmad and Ferdinando Di Martino
Revisiting Darbos Fixed-Point Theory with Applications to a Class of Fractional Integral Equations
Rahul, Nihar Kumar Mahato, Bodigiri Sai Gopinadh and Sumati Kumari Panda
New Topologies on Partial Metric Sspaces and M-metric Spaces
Mehdi Asadi


James Cossey, Yong Yang

Characters and Blocks of Solvable Groups:
A Users Guide to Large Orbit Theorems

Format: Hardback, 178 pages, height x width: 240x168 mm, X, 178 p
Series: Synthesis Lectures on Mathematics & Statistics
Pub. Date: 07-Apr-2024
ISBN-13: 9783031507052

Description

This book highlights recent developments in the representation theory of finite solvable groups, which seeks to connect group theory to linear algebra in ways that allow for better study of the groups in question. Over the last several decades, a number of results in the representations of solvable groups have been proven using so-called glarge orbith theorems. This book provides an extensive survey of the current state of the large-orbit theorems. The authors outline the proofs of the large orbit theorems to provide an overview of the topic, then demonstrate how these theorems can be used to prove new results about solvable groups.

Table of Contents

Introduction.- Background Material.- Solvable Linear Groups and Glucks
Permutation Lemma.- Glucks Conjecture.- The Huppert - Conjecture.- Dolfis
Theorem.- Induction and Restriction of Characters From p-Complements.- Brauer
Graphs of Solvable Groups, I.- Brauer Graphs of Solvable Groups, II.-
Conjugacy Classes, Codegrees, Zeros, and other Applications.