On Quasiconvex Conditional Maps. Duality Results and Applications to Finance
Author: Marco Maggis
Publisher: Ledizioni
Published: 2011
Total Pages: 143
ISBN-13: 8895994590
DOWNLOAD EBOOKPosts
Stochastic Methods in Cancer Research. Applications to Genomics and Angiogenesis
Author: Paola M. V. Rancoita
Publisher: Ledizioni
Published: 2011
Total Pages: 301
ISBN-13: 8895994582
DOWNLOAD EBOOKIn this thesis, I study three stochastic methods that can be applied for the analysis of data in cancer research and, in particular, to cancer genomic data and to images of angiogenic processes. Cancer is a multistep process where the accumulation of genomic lesions alters cell biology. The latter is under control of several pathways and thus, cancer can arise via different mechanisms affecting different pathways. Due to the general complexity of this disease and the different types of tumors, the efforts of cancer research cover several research areas such as, for example, immunology, genetics, cell biology, angiogenesis.
Non-overlapping Domain Decomposition Methods for Three-dimensional Cardiac Reaction-diffusion Models and Applications
Author: Stefano Zampini
Publisher: Ledizioni
Published: 2011
Total Pages: 269
ISBN-13: 8895994663
DOWNLOAD EBOOKRecent advances in biotechnology and the availability of ever more powerful computers have led to the formulation of increasingly complex models at all levels of life sciences, in particular of cardiac electrophysiology. Multiscale modeling of the bioelectric activity of the heart, taking into account macroscopic (fiber architecture and anisotropy) and microscopic (cellular) features of the tissue, aim to develop predictive tools for future drug design and patient-specific therapies, using detailed and efficient three-dimensional solvers for the governing equations of tissue electrophysiology.
On Some Axiomatic Extensions of the Monoidal T-Norm Based Logic Mtl
Author: Matteo Bianchi
Publisher: Ledizioni
Published: 2011
Total Pages: 169
ISBN-13: 8895994566
DOWNLOAD EBOOKThe scientific area this thesis belongs to is many-valued logics: this meanslogics in which, from the semantical point of view, we have "intermediate"truth-values, between 0 and 1 (which in turns are designated to represent, respectively, the "false" and the "true").The classical logic (propositional, for simplicity) is based on the fact thatevery statement is true or false: this is reflected by the excluded middle law, that is a theorem of this logic. However, there are many reasons that suggestto reject this law: for example, intuitionistic logic does not satisfy it, sincethis logic reflects a "constructive" conception of mathematics (see [Hey71, Tro69]).
Even Convexity and Optimization
Author: María D. Fajardo
Publisher: Springer Nature
Published: 2020-10-27
Total Pages: 192
ISBN-13: 3030534561
DOWNLOAD EBOOKThis tutorial is the first comprehensive introduction to (possibly infinite) linear systems containing strict inequalities and evenly convex sets. The book introduces their application to convex optimization. Particular attention is paid to evenly convex polyhedra and finite linear systems containing strict inequalities. The book also analyzes evenly convex and quasiconvex functions from a conjugacy and duality perspective. It discusses the applications of these functions in economics. Written in an expository style the main concepts and basic results are illustrated with suitable examples and figures..
Convex Optimization
Author: Stephen P. Boyd
Publisher: Cambridge University Press
Published: 2004-03-08
Total Pages: 744
ISBN-13: 9780521833783
DOWNLOAD EBOOKConvex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.
Conjugate Duality and Optimization
Author: R. Tyrrell Rockafellar
Publisher: SIAM
Published: 1974-01-01
Total Pages: 80
ISBN-13: 9781611970524
DOWNLOAD EBOOKProvides a relatively brief introduction to conjugate duality in both finite- and infinite-dimensional problems. An emphasis is placed on the fundamental importance of the concepts of Lagrangian function, saddle-point, and saddle-value. General examples are drawn from nonlinear programming, approximation, stochastic programming, the calculus of variations, and optimal control.
Set Optimization and Applications - The State of the Art
Author: Andreas H Hamel
Publisher: Springer
Published: 2015-11-21
Total Pages: 333
ISBN-13: 3662486709
DOWNLOAD EBOOKThis volume presents five surveys with extensive bibliographies and six original contributions on set optimization and its applications in mathematical finance and game theory. The topics range from more conventional approaches that look for minimal/maximal elements with respect to vector orders or set relations, to the new complete-lattice approach that comprises a coherent solution concept for set optimization problems, along with existence results, duality theorems, optimality conditions, variational inequalities and theoretical foundations for algorithms. Modern approaches to scalarization methods can be found as well as a fundamental contribution to conditional analysis. The theory is tailor-made for financial applications, in particular risk evaluation and [super-]hedging for market models with transaction costs, but it also provides a refreshing new perspective on vector optimization. There is no comparable volume on the market, making the book an invaluable resource for researchers working in vector optimization and multi-criteria decision-making, mathematical finance and economics as well as [set-valued] variational analysis.
Advanced Microeconomic Theory
Author: Geoffrey Alexander Jehle
Publisher:
Published: 2001
Total Pages: 543
ISBN-13: 9780321204530
DOWNLOAD EBOOKThis advanced economics text bridges the gap between familiarity with microeconomic theory and a solid grasp of the principles and methods of modern neoclassical microeconomic theory.
Boolean Valued Analysis
Author: A.G. Kusraev
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 345
ISBN-13: 9401144435
DOWNLOAD EBOOKBoolean valued analysis is a technique for studying properties of an arbitrary mathematical object by comparing its representations in two different set-theoretic models whose construction utilises principally distinct Boolean algebras. The use of two models for studying a single object is a characteristic of the so-called non-standard methods of analysis. Application of Boolean valued models to problems of analysis rests ultimately on the procedures of ascending and descending, the two natural functors acting between a new Boolean valued universe and the von Neumann universe. This book demonstrates the main advantages of Boolean valued analysis which provides the tools for transforming, for example, function spaces to subsets of the reals, operators to functionals, and vector-functions to numerical mappings. Boolean valued representations of algebraic systems, Banach spaces, and involutive algebras are examined thoroughly. Audience: This volume is intended for classical analysts seeking powerful new tools, and for model theorists in search of challenging applications of nonstandard models.
