Iterated Function Systems, Moments, and Transformations of Infinite Matrices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Iterated Function Systems, Moments, and Transformations of Infinite Matrices write by Palle E. T. Jørgensen. This book was released on 2011. Iterated Function Systems, Moments, and Transformations of Infinite Matrices available in PDF, EPUB and Kindle.
Iterated Function Systems, Moments, and Transformations of Infinite Matrices
Iterated Function Systems, Moments, and Transformations of Infinite Matrices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Iterated Function Systems, Moments, and Transformations of Infinite Matrices write by Palle E. T. Jørgensen. This book was released on 2011. Iterated Function Systems, Moments, and Transformations of Infinite Matrices available in PDF, EPUB and Kindle. The authors study the moments of equilibrium measures for iterated function systems (IFSs) and draw connections to operator theory. Their main object of study is the infinite matrix which encodes all the moment data of a Borel measure on $\mathbb{R}^d$ or $\mathbb{C}$. To encode the salient features of a given IFS into precise moment data, they establish an interdependence between IFS equilibrium measures, the encoding of the sequence of moments of these measures into operators, and a new correspondence between the IFS moments and this family of operators in Hilbert space. For a given IFS, the authors' aim is to establish a functorial correspondence in such a way that the geometric transformations of the IFS turn into transformations of moment matrices, or rather transformations of the operators that are associated with them.
Iterated Function Systems, Moments, and Transformations of Infinite Matrices
Iterated Function Systems, Moments, and Transformations of Infinite Matrices - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Iterated Function Systems, Moments, and Transformations of Infinite Matrices write by Palle E. T. Jørgensen. This book was released on . Iterated Function Systems, Moments, and Transformations of Infinite Matrices available in PDF, EPUB and Kindle. "September 2011, volume 213, number 1003 (fourth of 5 numbers)."
Recent Developments in Fractal Geometry and Dynamical Systems
Recent Developments in Fractal Geometry and Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recent Developments in Fractal Geometry and Dynamical Systems write by Sangita Jha. This book was released on 2024-04-18. Recent Developments in Fractal Geometry and Dynamical Systems available in PDF, EPUB and Kindle. This volume contains the proceedings of the virtual AMS Special Session on Fractal Geometry and Dynamical Systems, held from May 14–15, 2022. The content covers a wide range of topics. It includes nonautonomous dynamics of complex polynomials, theory and applications of polymorphisms, topological and geometric problems related to dynamical systems, and also covers fractal dimensions, including the Hausdorff dimension of fractal interpolation functions. Furthermore, the book contains a discussion of self-similar measures as well as the theory of IFS measures associated with Bratteli diagrams. This book is suitable for graduate students interested in fractal theory, researchers interested in fractal geometry and dynamical systems, and anyone interested in the application of fractals in science and engineering. This book also offers a valuable resource for researchers working on applications of fractals in different fields.
The Hermitian Two Matrix Model with an Even Quartic Potential
The Hermitian Two Matrix Model with an Even Quartic Potential - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Hermitian Two Matrix Model with an Even Quartic Potential write by Maurice Duits. This book was released on 2012. The Hermitian Two Matrix Model with an Even Quartic Potential available in PDF, EPUB and Kindle. The authors consider the two matrix model with an even quartic potential $W(y)=y^4/4+\alpha y^2/2$ and an even polynomial potential $V(x)$. The main result of the paper is the formulation of a vector equilibrium problem for the limiting mean density for the eigenvalues of one of the matrices $M_1$. The vector equilibrium problem is defined for three measures, with external fields on the first and third measures and an upper constraint on the second measure. The proof is based on a steepest descent analysis of a $4\times4$ matrix valued Riemann-Hilbert problem that characterizes the correlation kernel for the eigenvalues of $M_1$. The authors' results generalize earlier results for the case $\alpha=0$, where the external field on the third measure was not present.
