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Endomorphism Rings
With an abelian group A one associates the ring...
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A survey on multi-objective evolutionary algorithms for many-objective problems
Multi-objective evolutionary algorithms (MOEAs) are well-suited for solving several complex multi-objective problems with two or three objectives....
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Calculation of Discrepancy Measures and Applications
In this book chapter we survey known approaches and algorithms to compute discrepancy measures of point sets. After providing an introduction which...
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Continuous Selections of Multivalued Map**s
This survey covers in our opinion the most important results in the theory of continuous selections of multivalued map**s (approximately)from 2002...
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Volatility Dynamics for a Single Underlying: Foundations
In this first and fundamental chapter we lay out the core principles of the Asymptotic Chaos Expansion (ACE) methodology. We investigate the...
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Set Optimization—A Rather Short Introduction
Recent developments in set optimization are surveyed and extended including various set relations as well as fundamental constructions of a convex...
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Wrocław Again
JANUARY 16, 1948. On January 3 I met with Mr. Żarnecki, Tadeusz, director of a Polish government agency Żarnecki,...
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Discrete Structures
Questions:...
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Sharp Recovery Bounds for Convex Demixing, with Applications
Demixing refers to the challenge of identifying two structured signals given only the sum of the two signals and prior information about their...
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The Comparison Principle: Nonlinearity and Nonconvexity
This chapter introduces generalizations and applications of the presented approach prescribed earlier to nonlinear systems, nonconvex reachability...
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Programming in Linear Spaces
The present study has its origin in problems of optimal resource allocation, especially those related to the possibilities of a price mechanism....
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Ellipsoidal Techniques: Reachability and Control Synthesis
This chapter describes the ellipsoidal techniques for control problems introduced in earlier chapters. We derive formulas for reachability sets using...
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Optimization Methods for Solving Problems of Transcomputational Complexity
This chapter addresses subgradient nonsmooth optimization methods. The generalized gradient descent method known later as the subgradient method is...
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An Optimal Model Identification for Oscillatory Dynamics with a Stable Limit Cycle
We propose a general framework for the parameter-free identification of a class of dynamical systems. Here, the propagator is approximated in terms...
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A Biased View of Topology as a Tool in Functional Analysis
A survey about “Topology as a tool in functional analysis” would be such a giant enterprise that we have, naturally, chosen to give here “Our biased...
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Creators
The title of any book, monograph, or article tells the reader broadly what he can expect to attain from the book by reading it. The title is...
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Stochastic theory of the classical molecular dynamics method
The work is devoted to fundamental aspects of the classical molecular dynamics method, which was developed half a century ago as a means of solving...
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Metric and Topological Tools
We devote this opening chapter to some preliminary material dealing with sets, set-valued maps, convergences, estimates, and well-posedness.
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The diffusion problem in primal form
The diffusion problem in primal form for the scalar variable u is governed by the Poisson problem, which we rewrite from Sect. 1.4.1:...
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Variational Formulation of Phase Transitions with Glass Formation
In the framework of the theory of nonequilibrium thermodynamics, phase transitions with glass formation in binary alloys are here modeled as a...