Random

This unique volume discusses some recent developments in the theory of spatial branching processes and superprocesses, with special emphasis on spines, Laws of Large Numbers, interactions and random m

This volume first introduces the mathematical tools necessary for understanding and working with a broad class of applied stochastic models. The toolbox includes Gaussian processes, independently scat

Biane, Philippe: Non-commutative stochastic calculus.-Voiculescu, Dan-Virgil: Lectures on free probability.- Guionnet, Alice: Large random matrices: Lectures on macroscopic asymptotics.?

Together with the fundamentals of probability, random processes and statistical analysis, this insightful book also presents a broad range of advanced topics and applications. There is extensive coverage of Bayesian vs. frequentist statistics, time series and spectral representation, inequalities, bound and approximation, maximum-likelihood estimation and the expectation-maximization (EM) algorithm, geometric Brownian motion and Itô process. Applications such as hidden Markov models (HMM), the Viterbi, BCJR, and Baum–Welch algorithms, algorithms for machine learning, Wiener and Kalman filters, and queueing and loss networks are treated in detail. The book will be useful to students and researchers in such areas as communications, signal processing, networks, machine learning, bioinformatics, econometrics and mathematical finance. With a solutions manual, lecture slides, supplementary materials and MATLAB programs all available online, it is ideal for classroom teaching as well as a val

Blending theoretical results with practical applications, this book provides an introduction to random matrix theory and shows how it can be used to tackle a variety of problems in wireless communications. The Stieltjes transform method, free probability theory, combinatoric approaches, deterministic equivalents and spectral analysis methods for statistical inference are all covered from a unique engineering perspective. Detailed mathematical derivations are presented throughout, with thorough explanation of the key results and all fundamental lemmas required for the reader to derive similar calculus on their own. These core theoretical concepts are then applied to a wide range of real-world problems in signal processing and wireless communications, including performance analysis of CDMA, MIMO and multi-cell networks, as well as signal detection and estimation in cognitive radio networks. The rigorous yet intuitive style helps demonstrate to students and researchers alike how to choose

The theory of random dynamical systems originated from stochasticdifferential equations. It is intended to provide a framework andtechniques to describe and analyze the evolution of dynamicalsystems w

The dynamics of financial returns varies with the return period, from high-frequency data to daily, quarterly or annual data. Multifractal Random Walk models can capture the statistical relation betwe

An uplifting?tribute to the finest qualities of humankind,?presenting examples of kind and selfless acts from the worlds of sports, fashion, military, and daily life?Drawn from many sources, this enga

A timely and comprehensive treatment of random field theory with applications across diverse areas of study Level Sets and Extrema of Random Processes and Fields discusses how to understand the prope

Written for practicing engineers seeking to strengthen their practical grasp of random signal processing, Discrete Random Signal Processing and Filtering Primer with MATLAB provides the opportunity t

This book focuses on the asymptotic behaviour of the probabilities of large deviations of the trajectories of random walks with 'heavy-tailed' (in particular, regularly varying, sub- and semiexponential) jump distributions. Large deviation probabilities are of great interest in numerous applied areas, typical examples being ruin probabilities in risk theory, error probabilities in mathematical statistics, and buffer-overflow probabilities in queueing theory. The classical large deviation theory, developed for distributions decaying exponentially fast (or even faster) at infinity, mostly uses analytical methods. If the fast decay condition fails, which is the case in many important applied problems, then direct probabilistic methods usually prove to be efficient. This monograph presents a unified and systematic exposition of the large deviation theory for heavy-tailed random walks. Most of the results presented in the book are appearing in a monograph for the first time. Many of them we

This excellent advanced text rigorously covers several topics related to random signal processing. Geared toward students of electrical engineering, its material is sufficiently general to be applicab

Random matrix theory is an area of mathematics first developed by physicists interested in the energy levels of atomic nuclei, but it can also be used to describe some exotic phenomena in the number theory of elliptic curves. The purpose of this book is to illustrate this interplay of number theory and random matrices. It begins with an introduction to elliptic curves and the fundamentals of modelling by a family of random matrices, and moves on to highlight the latest research. There are expositions of current research on ranks of elliptic curves, statistical properties of families of elliptic curves and their associated L-functions and the emerging uses of random matrix theory in this field. Most of the material here had its origin in a Clay Mathematics Institute workshop on this topic at the Newton Institute in Cambridge and together these contributions provide a unique in-depth treatment of the subject.

A course in compassion from the creators of Random Acts of Kindness, Practice Random Acts of Kindness is a compilation of inspiring meditations, affirmations, and true stories collected from the growi

This undergraduate text distils the wisdom of an experienced teacher and yields, to the mutual advantage of students and their instructors, a sound and stimulating introduction to probability theory.

Miller and Childers have focused on creating a clear presentation of foundational concepts with specific applications to signal processing and communications, clearly the two areas of most interest to

The Timeless Resource No Word User Can Be Without-Now Completely Revised and Updated in a New Edition!‧ More than 75,000 entries ‧ More than 150 new illustrations ‧ Helpful supplements on writing, usa

With fifty years of experience in dictionary publishing behind it, Random House Webster's Unabridged Dictionary is the most definitive single-volume reference of the English language available.??This

This book is a lucid, straightforward introduction to the concepts and techniques of statistical physics that students of biology, biochemistry, and biophysics must know. It provides a sound basis fo

This Step 2 Step into Reading leveled reader is based on Disney and Pixar's Hoppers, releasing in theaters Spring 2026! What if you could talk to animals and understand what they're saying? In Disney and Pixar's all-new feature film Hoppers, scientists have discovered how to "hop" human consciousness into lifelike robotic animals, allowing people to communicate with animals as animals! The adventure introduces Mabel, an animal lover who seizes an opportunity to use the technology, uncovering mysteries within the animal world that are beyond anything she could have imagined. Children ages 4 to 6 will love this Step 2 Step into Reading leveled reader based on the film. Step 2 readers use basic vocabulary and short sentences to tell simple stories. They are for children who recognize familiar words and can sound out new words with help.

This Step 3 Step into Reading leveled reader is based on Disney and Pixar's Hoppers, releasing in theaters Spring 2026! What if you could talk to animals and understand what they're saying? In Disney and Pixar's all-new feature film Hoppers, scientists have discovered how to "hop" human consciousness into lifelike robotic animals, allowing people to communicate with animals as animals! The adventure introduces Mabel, an animal lover who seizes an opportunity to use the technology, uncovering mysteries within the animal world that are beyond anything she could have imagined. Children ages 6 to 8 will love this Step 3 Step into Reading leveled reader based on the film. Step 3 readers feature engaging characters in easy-to-follow plots about popular topics. They are for children who are ready to read on their own.

This junior novelization, which features a full-color insert, is based on Disney and Pixar's Hoppers, releasing in theaters Spring 2026! What if you could talk to animals and understand what they're saying? In Disney and Pixar's all-new feature film Hoppers, scientists have discovered how to "hop" human consciousness into lifelike robotic animals, allowing people to communicate with animals as animals! The adventure introduces Mabel, an animal lover who seizes an opportunity to use the technology, uncovering mysteries within the animal world that are beyond anything she could have imagined. This junior novelization is a retelling of Disney and Pixar's Spring 2026 animated feature film and includes a full-color insert. It's perfect for kids ages 7 to 10.

This storybook is based on Disney Zootopia 2, releasing in theaters in fall 2025! In Walt Disney Animation Studios' Zootopia 2, detectives Judy Hopps and Nick Wilde find themselves on the twisting trail of a mysterious reptile who arrives in Zootopia and turns the mammal metropolis upside down. To crack the case, Judy and Nick must go undercover to unexpected new parts of town, where their growing partnership is tested like never before. Children ages 3 to 7 will love this paperback storybook based on the animated feature film.

樂觀又勇敢的少女亞莎，住在「心願之國」羅薩斯，這裡的願望真的能實現。當家園面臨危機，她向星空許下願望，意外喚來了活力十足的小星星。兩人一起踏上冒險，守護心中珍貴的一切。內附彩頁與電影海報。This deluxe junior novelization retells the exciting story of Disney Wish—arriving in theaters fall 2023! The book also features a pull-out movie poster and a full-color insert that includes bonus movie content!Walt Disney Animation Studios Wish is set to release Fall 2023, during the Studio’s 100th year. A film that could only come from Disney Animation, the epic animated musical is inspired by the legacy of films from the studio and asks the question: “How did the wishing star, upon which so many characters wished, come to be?” The story, set in Rosas, the kingdom of wishes where wishes can literally come true, follows Asha—an optimist with a sharp wit who cares endlessly about her community. In a moment of desperation, Asha makes an impassioned plea to the stars, which is answered by a cosmic force, a little ball of boundless energy called Star. Together, they face the most formidable of fo