Rezultate cautare:

Ionela Prodan (Author)

Mixed-Integer Representations in Control Design: Mathematical Foundations and Applications

Editura: SPRINGER VERLAG GMBH

Anul aparitiei: 2015

In this book, the authors propose efficient characterizations of the non-convex regions that appear in many control problems, such as those involving collision/obstacle avoidance and, in a broader sense, in the description of feasible sets for optimization-based control design involving contradictory objectives. The text deals with a large class of systems that require the solution of appropriate optimization problems over a feasible region, which is neither convex nor compact. The proposed approach uses the combinatorial notion of hyperplane arrangement, partitioning the space by a finite collection of hyperplanes, to describe non-convex regions efficiently. Mixed-integer programming techniques are then applied to propose acceptable formulations of the overall problem. Multiple constructions may arise from the same initial problem, and their complexity under various parameters - space dimension, number of binary variables, etc. - is also discussed. This book is a useful tool for academic researchers and graduate students interested in non-convex systems working in control engineering area, mobile robotics and/or optimal planning and decision-making.

Emil Prodan (Author)

Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics

Editura: SPRINGER VERLAG GMBH

Anul aparitiei: 2016

This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry. Particular focus is on the stability of the topological invariants in the presence of strong disorder, on the interplay between the bulk and boundary invariants and on their dependence on magnetic fields.The first part presents motivating examples and the conjectures put forward by the physics community, together with a brief review of the experimental achievements. The second part develops an operator algebraic approach for the study of disordered topological insulators. This leads naturally to the use of analytical tools from K-theory and non-commutative geometry, such as cyclic cohomology, quantized calculus with Fredholm modules and index pairings. New results include a generalized Streda formula and a proof of the delocalized nature of surface states in topological insulators with non-trivial invariants. The concluding chapter connects the invariants to measurable quantities and thus presents a refined physical characterization of the complex topological insulators. This book is intended for ...

Emil Prodan (Author)

A Computational Non-Commutative Geometry Program for Disordered Topological Insulators

Editura: SPRINGER VERLAG GMBH

Anul aparitiei: 2017

This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by Jean Bellissard as a theoretical framework for the investigation of homogeneous condensed matter systems. Recently, this approach has been successfully applied to topological insulators, where it facilitated many rigorous results concerning the stability of the topological invariants against disorder.In the first part of the book the notion of a homogeneous material is introduced and the class of disordered crystals defined together with the classification table, which conjectures all topological phases from this class. The manuscript continues with a discussion of electrons' dynamics in disordered crystals and the theory of topological invariants in the presence of strong disorder is briefly reviewed. It is shown how all this can be captured in the language of noncommutative geometry using the concept of non-commutative Brillouin torus, and a list of known formulas for various physical response functions is presented. In the second part, auxiliary algebras are introduced ...

Emil Prodan (Author)

Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics

Editura: SPRINGER NATURE

Anul aparitiei: 2018

This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry. Particular focus is on the stability of the topological invariants in the presence of strong disorder, on the interplay between the bulk and boundary invariants and on their dependence on magnetic fields.The first part presents motivating examples and the conjectures put forward by the physics community, together with a brief review of the experimental achievements. The second part develops an operator algebraic approach for the study of disordered topological insulators. This leads naturally to the use of analytical tools from K-theory and non-commutative geometry, such as cyclic cohomology, quantized calculus with Fredholm modules and index pairings. New results include a generalized Streda formula and a proof of the delocalized nature of surface states in topological insulators with non-trivial invariants. The concluding chapter connects the invariants to measurable quantities and thus presents a refined physical characterization of the complex topological insulators. This book is intended for ...

Irina Prodan (Author)

The Effect of Weather on Stock Returns: A Comparison Between Emerging and Developed Markets

Editura: ANCHOR ACADEMIC PUB

Anul aparitiei: 2013

One renowned and frequently researched anomaly over the last two decades is the weather effect, more precisely, the impact of weather on stock market returns. The extensive literature on the weather effect fails to converge towards a unique, systematic and robust relationship between the weather, and the stock market. Therefore, the aim of this paper is to explain the contradictory results in the literature by testing whether stock prices are affected by the weather in a significantly different manner depending on the level of market development, and explaining how this difference behaves over time. In order to test for this, city-by-city, pooled and binary regressions are employed using data of 10 developed, and 10 emerging countries over the period 1996-2011 by using two different means of seasonal adjustment.

, Prodan Lara

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Editura: Silk Road Media

Anul aparitiei: 2018

Page dim. 203 x 127 x 6 Weight: 113 grams