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Topological Complexity of Smooth Random Functions

by chapters on topological inference and random algebraic topology, both of which provide applications of the main results.;

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Random Matrix Theory With an External Source

random fluctuations and to demonstrate that it is useful to evaluate topological universal quantities. We consider Gaussian random matrix models;

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Stochastic Processes in Non-Archimedean Banach Spaces, Manifolds & Topological Groups

in stochastic processes with values in Banach spaces, manifolds and topological groups. Also discussed herein are random functions with values in Lie;

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Mathematical Logic In Asia - Proceedings Of The 9th Asian Logic Conference

theories, algorithmic complexity of relations, models within the computable model theory, hierarchies of randomness tests, computable numberings;

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Topological Complexity and Related Topics

This volume contains the proceedings of the mini-workshop on Topological Complexity and Related Topics, held from February 28-March 5, 2016;

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Topological Methods in the Theory of Functions of a Complex Variable. (AM-15), Volume 15

The description for this book, Topological Methods in the Theory of Functions of a Complex Variable. (AM-15), will be forthcoming.;

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Tau Functions and their Applications

of integrable hierarchies, correlation functions in the spectral theory of random matrices and combinatorial generating functions for enumerative;

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Cambridge Monographs on Mathematical Physics

and topological field theory. With chapters on random walks, random surfaces, two- and higher dimensional quantum gravity, topological quantum;

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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite;

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Attractor Dimension Estimates for Dynamical Systems: Theory and Computation

dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite;

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Elements of Combinatorial and Differential Topology

of topological spaces to investigations of their partitions into elementary sets, and to methods of differential topology, which deal with smooth;

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Forcing with Random Variables and Proof Complexity

complexity. Propositional proof systems and bounded arithmetics are closely related. In particular, proving lower bounds on the lengths of proofs;

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Cryptography 101

and techniques, mechanisms, and systems that are available today. Random generators and random functions are discussed, as well as one-way;

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Topological Quantum Matter

. Further, it discusses in detail the topological interactions for topologically ordered matter, and the response to smooth external fields for;

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Morphological Models of Random Structures

This book covers methods of Mathematical Morphology to model and simulate random sets and functions (scalar and multivariate). The;

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Introduction to Topological Groups

Suitable for advanced undergraduates and graduate students in mathematics, this introduction to topological groups presumes familiarity;

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Random Processes For Engineers

style. Students will learn to manage the complexity of randomness through the use of simple classes of random processes, statistical means and;

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iSmooth Analysis

i-SMOOTH ANALYSIS A totally new direction in mathematics, this revolutionary new study introduces a new class of invariant derivatives;

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Topology

Contents: Introduction. - Fundamental Concepts. - Topological Vector Spaces.- The Quotient Topology. - Completion of Metric Spaces;

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Computation and Complexity in Economic Behavior and Organization

This book presents a model of computing and a measure of computational complexity which are intended to facilitate analysis of computations;

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Computation and Complexity in Economic Behavior and Organization

This book presents a model of computing and a measure of computational complexity which are intended to facilitate analysis of computations;

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Topics in Dynamics and Ergodic Theory

This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics and it;

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Probability Theory and Statistical Applications

of random variables. The book is directed to students of mathematics, statistics, engineering, and other quantitative sciences, in particular to;

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Some Random Series of Functions

Now in a paperback edition for the first time, this second edition of Some Random Series of Functions covers random series in Banach and;

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Probability and Random Processes

work. The text covers set theory, combinatorics, random variables, discrete and continuous probability, distribution functions, convergence;

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Limit Theorems and Applications of Set-Valued and Fuzzy Set-Valued Random Variables

variables is a natural extension of that of general real-valued random variables or random vectors. However, owing to the topological structure;

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Aspects of Kolmogorov Complexity the Physics of Information

The research presented in Aspects of Kolmogorov Complexity addresses the fundamental standard of defining randomness as measured by a;

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