The mu-calculus and the hierarchy problem(Lenzi)

April 9, 2013, 4:17 pm

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series:Publications of the Scuola Normale Superiore

The subject of this thesis is the Mu-calculus, which nowadays represents a very active research area in both theoretical and practical Computer Science. The Mu-calculus is a logic capable of expressing least and greatest solutions of fixpoint equations x=f(x), where f is a monotone function mapping some complete ordered set into itself. The thesis has two goals, one expository and one ...

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A geometric view of the term structure of interest rates(Bjork)

May 25, 2013, 2:18 pm

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series:Publications of the Scuola Normale Superiore

This set of lecture notes is the outcome of a lecture series, given in April 2000 by the author while holding the “Cattedra Galileiana” at Scuola Normale Superiore in Pisa. The purpose of the lectures was to give an overview of some recent work concerning structural properties of the evolution of the forward rate curve in an arbitrage free bond market.

Control of Distributed Parameter and Stochastic Systems

June 5, 2013, 4:06 pm

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series:IFIP Advances in Information and Communication Technology

In the mathematical treatment of many problems which arise in physics, economics, engineering, management, etc., the researcher frequently faces two major difficulties: infinite dimensionality and randomness of the evolution process. Infinite dimensionality occurs when the evolution in time of a process is accompanied by a space-like dependence; for example, spatial distribution of the ...

Introduction to Quantitative Methods for Financial Markets(Albrecher et al.)

July 17, 2013, 4:01 pm

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series:Compact Textbooks in Mathematics

Swaps, futures, options, structured instruments - a wide range of derivative products is traded in today's financial markets. Analyzing, pricing and managing such products often requires fairly sophisticated quantitative tools and methods. This book serves as an introduction to financial mathematics with special emphasis on aspects relevant in practice. In addition to numerous illustrative ...

Stabilization of Control Systems(Hijab)

November 10, 2013, 4:18 pm

≫ Next: Nonlinear and Optimal Control Theory(Agrachev et al.)

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series:Stochastic Modelling and Applied Probability

Nonlinear and Optimal Control Theory(Agrachev et al.)

July 9, 2014, 4:28 pm

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Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004
series:C.I.M.E. Foundation Subseries

The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based ...

The Kolmogorov-Obukhov Theory of Turbulence(Birnir)

February 11, 2013, 1:06 am

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A Mathematical Theory of Turbulence
series:SpringerBriefs in Mathematics

​​​​​​​Turbulence is a major problem facing modern societies. It makes airline passengers return to their seats and fasten their seatbelts but it also creates drag on the aircraft that causes it to use more fuel and create more pollution. The same applies to cars, ships and the space shuttle. The mathematical theory of turbulence has been an unsolved problems for 500 years and the development ...

System Identification Using Regular and Quantized Observations(He et al.)

March 22, 2013, 7:26 am

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Applications of Large Deviations Principles
series:SpringerBriefs in Mathematics

​This brief presents characterizations of identification errors under a probabilistic framework when output sensors are binary, quantized, or regular.  By considering both space complexity in terms of signal quantization and time complexity with respect to data window sizes, this study provides a new perspective to understand the fundamental relationship between probabilistic errors and ...

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Intuitionistic Fuzzy Information Aggregation(Xu et al.)

March 22, 2013, 8:04 am

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Theory and Applications

"Intuitionistic Fuzzy Information Aggregation: Theory and Applications" is the first book to provide a thorough and systematic introduction to intuitionistic fuzzy aggregation methods, the correlation, distance and similarity measures of intuitionistic fuzzy sets and various decision-making models and approaches based on the above-mentioned information processing tools. Through numerous ...

Linguistic Decision Making(Xu)

March 22, 2013, 8:45 am

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Theory and Methods

"Linguistic Decision Making: Theory and Methods" is the first monograph which mainly deals with the interdisciplinary subject of computing with words, information fusion and decision analysis. It provides a thorough and systematic introduction to the linguistic aggregation operators, linguistic preference relations, and various models for and approaches to multi-attribute decision making with ...

Spectral Theory and Quantum Mechanics(Moretti)

April 5, 2013, 12:41 am

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With an Introduction to the Algebraic Formulation
series:La Matematica per il 3+2

This book pursues the accurate study of the mathematical foundations of Quantum Theories. It may be considered an introductory text on linear functional analysis with a focus on Hilbert spaces. Specific attention is given to spectral theory features that are relevant in physics. Having left the physical phenomenology in the background, it is the formal and logical aspects of the theory that ...

The mu-calculus and the hierarchy problem(Lenzi)

April 9, 2013, 4:17 pm

≫ Next: Advances in Interdisciplinary Mathematical Research

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series:Publications of the Scuola Normale Superiore

The subject of this thesis is the Mu-calculus, which nowadays represents a very active research area in both theoretical and practical Computer Science. The Mu-calculus is a logic capable of expressing least and greatest solutions of fixpoint equations x=f(x), where f is a monotone function mapping some complete ordered set into itself. The thesis has two goals, one expository and one ...

Advances in Interdisciplinary Mathematical Research

May 2, 2013, 4:12 pm

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Applications to Engineering, Physical and Life Sciences
series:Springer Proceedings in Mathematics & Statistics

​This volume contains the invited contributions to the Spring 2012 seminar series at Virginia State University on Mathematical Sciences and Applications. It is a thematic continuation of work presented in Volume 24 of the Springer Proceedings in Mathematics & Statistics series. Contributors present their own work as leading researchers to advance their specific fields and induce a genuine ...

A geometric view of the term structure of interest rates(Bjork)

May 25, 2013, 2:18 pm

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series:Publications of the Scuola Normale Superiore

This set of lecture notes is the outcome of a lecture series, given in April 2000 by the author while holding the “Cattedra Galileiana” at Scuola Normale Superiore in Pisa. The purpose of the lectures was to give an overview of some recent work concerning structural properties of the evolution of the forward rate curve in an arbitrage free bond market.

Control of Distributed Parameter and Stochastic Systems

June 5, 2013, 4:06 pm

≫ Next: Knowledge Spaces

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Proceedings of the IFIP WG 7.2 International Conference, June 19–22, 1998 Hangzhou, China
series:IFIP Advances in Information and Communication Technology

In the mathematical treatment of many problems which arise in physics, economics, engineering, management, etc., the researcher frequently faces two major difficulties: infinite dimensionality and randomness of the evolution process. Infinite dimensionality occurs when the evolution in time of a process is accompanied by a space-like dependence; for example, spatial distribution of the ...

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Knowledge Spaces

June 25, 2013, 4:01 pm

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Applications in Education

The book describes up-to-date applications and relevant theoretical results. These applications come from various places, but the most important one, numerically speaking, is the internet based educational system ALEKS. The ALEKS system is bilingual English-Spanish and covers all of mathematics, from third grade to the end of high school, and chemistry. It is also widely used in higher ...

Stabilization of Control Systems(Hijab)

November 10, 2013, 4:18 pm

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series:Stochastic Modelling and Applied Probability

The problem of controlling or stabilizing a system of differential equa­ tions in the presence of random disturbances is intuitively appealing and has been a motivating force behind a wide variety of results grouped loosely together under the heading of "Stochastic Control." This book is concerned with a special instance of this general problem, the "Adaptive LQ Regulator," which is a ...

Vladimir I. Arnold - Collected Works(Arnold)

December 12, 2013, 4:31 pm

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Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972
series:Vladimir I. Arnold - Collected Works

Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his Collected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry.

Vladimir I. Arnold - Collected Works(Arnold)

January 24, 2014, 4:44 pm

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Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972
series:Vladimir I. Arnold - Collected Works

Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. This second volume of his Collected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry.

Neuromathematics of Vision

February 9, 2014, 4:02 pm

≫ Next: Nonlinear and Optimal Control Theory(Agrachev et al.)

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series:Lecture Notes in Morphogenesis

This book is devoted to the study of the functional architecture of the visual cortex. Its geometrical structure is the differential geometry of the connectivity between neural cells. This connectivity is building and  shaping the hidden brain structures underlying visual perception. The story of the problem runs over the last 30 years, since the discovery of Hubel and Wiesel of the modular ...