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## Articles on this Page

- 02/11/13--01:06: _The Kolmogorov-Obuk...
- 03/22/13--07:26: _System Identificati...
- 04/05/13--00:41: _Spectral Theory and...
- 04/09/13--16:17: _The mu-calculus and...
- 05/25/13--14:18: _A geometric view of...
- 06/05/13--16:06: _Control of Distribu...
- 11/10/13--16:18: _Stabilization of Co...
- 12/12/13--16:31: _Vladimir I. Arnold ...
- 01/24/14--16:44: _Vladimir I. Arnold ...
- 02/09/14--16:02: _Neuromathematics of...
- 07/09/14--16:28: _Nonlinear and Optim...
- 03/09/18--16:18: _Coherent risk measu...
- 01/31/13--16:32: _The Kolmogorov-Obuk...
- 02/10/13--04:54: _Adaptive Control, F...
- 02/10/13--05:41: _System Identificati...

## Channel Description:

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 ...

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 ...

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 ...

**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 ...

**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.

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 ...

**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 ...

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.

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.

**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 ...

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 ...

**series:**Publications of the Scuola Normale Superiore

The notes grew out of a course I taught at a Cattedra Galileiana at the Scuola Normale Superiore di Pisa, March 2000. The aim of these lectures was to show that it is possible to translate problems from Risk Management into mathematics and back. Part of the course was devoted to an analysis of Value at Risk and its relation to quantiles. We concentrate on the mathematics behind the concept of ...

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 ...

**series:**The IMA Volumes in Mathematics and its Applications

The area of adaptive systems, which encompasses recursive identification, adaptive control, filtering, and signal processing, has been one of the most active areas of the past decade. Since adaptive controllers are fundamentally nonlinear controllers which are applied to nominally linear, possibly stochastic and time-varying systems, their theoretical analysis is usually very difficult. ...

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 ...