WorldCat Identities

Yampolsky, Michael 1972-

Works: 11 works in 49 publications in 1 language and 1,014 library holdings
Genres: Conference papers and proceedings 
Roles: Author
Classifications: QA614.83, 515.98
Publication Timeline
Most widely held works by Michael Yampolsky
Computability of Julia sets by Mark Braverman( Book )

16 editions published between 2008 and 2009 in English and held by 105 WorldCat member libraries worldwide

"Computational hardness of Julia sets is the main subject of this book. By definition, a computable set in the plane can be visualized on a computerscreen with an arbitrarily high magnification. There are countless programs to draw Julia sets. Yet, as the authors have discovered, it is possible to constructively produce examples of quadratic polynomials, whose Julia sets are not computable. This result is striking it says that while a dynamical system can be described numerically with an arbitrary precision, the picture of the dynamics cannot be visualized. The book summarizes the present knowledge about the computational properties of Julia sets in a self-contained way. It is accessible to experts and students with interest in theoretical computer science or dynamical systems."--Jacket
Holomorphic dynamics and renormalization : a volume in honour of John Milnor's 75th birthday( Book )

7 editions published in 2008 in English and held by 95 WorldCat member libraries worldwide

The papers collected in this volume reflect some of the directions of research in two closely related fields: Complex Dynamics and Renormalization in Dynamical Systems. While dynamics of polynomial mappings, particularly quadratics, has by now reached a mature state of development, much less is known about non-polynomial rational maps. The reader will be introduced into this fascinating world and a related area of transcendental dynamics by the papers in this volume. A graduate student will find an area rich with open problems and beautiful computer simulations. A survey by V. Nekrashevych int
Fixed point of the parabolic renormalization operator by Oscar E Lanford( Book )

10 editions published in 2014 in English and held by 18 WorldCat member libraries worldwide

This monograph grew out of the authors' efforts to provide a natural geometric description for the class of maps invariant under parabolic renormalization and for the Inou-Shishikura fixed point itself as well as to carry out a computer-assisted study of the parabolic renormalization operator. It introduces a renormalization-invariant class of analytic maps with a maximal domain of analyticity and rigid covering properties and presents a numerical scheme for computing parabolic renormalization of a germ, which is used to compute the Inou-Shishikura renormalization fixed point. Inside, readers will find a detailed introduction into the theory of parabolic bifurcation, Fatou coordinates, Écalle-Voronin conjugacy invariants of parabolic germs, and the definition and basic properties of parabolic renormalization
Hyperbolicity of renormalization of critical circle maps. Non-amenable finitely presented torsion-by-cyclic groups / by Alexander Yu. Ol'shanskii and Mark V. Sapir. by Michael Yampolsky( Book )

7 editions published between 2000 and 2003 in English and held by 13 WorldCat member libraries worldwide

(.) by Imogen Stidworthy( Book )

1 edition published in 2012 in English and held by 6 WorldCat member libraries worldwide

Dynamics of quadratic polynomials: complex bounds for real maps by Calif.) Mathematical Sciences Research Institute (Berkeley( Book )

2 editions published in 1995 in English and held by 2 WorldCat member libraries worldwide

Complex bounds for renormalization of one-dimensional dynamical systems by Michael Yampolsky( )

1 edition published in 1997 in English and held by 2 WorldCat member libraries worldwide

Principles and Experience of the On-Condition Application of Oils and Working Fluids to Aeronautical Engineering( Book )

1 edition published in 1996 in English and held by 1 WorldCat member library worldwide

With advances in technology, increasingly important become the operational properties, consumption, cost and shortage of oils, working fluids (subsequently referred to as oils) as well as the role of oil parameters as diagnosis indications for an oil-machinery system as a whole. Hence it follows that the man-hours required for maintenance and improvement of ecological situation near machinery operation sites should be reduced. Especially important is the problem regarding aircraft (AC), which is associated with elevated requirements to their reliability and operational safety. The analysis of the problem has shown that the major way to its solving is the creation and implementation of a methodological and information-analysis base providing the on-condition oil application in place of scheduling oil changes and, as a consequence, the more complete realization of oil quality potential in service. The paper is prepared based on the analysis of the results of multiyear investigations of oil properties in the course of their accumulation for machinery of various types, mainly aeronautical engineering, and their diagnosing. It is the continuation of works presented previously at analogous conferences held in Swansea (England), Buenos Aires (Argentina), Pensacola (USA)
Expert-Examination Computer System for Estimating Operational Status of Technical Equipment with Accounting for the Reliability of Its Life-Critical Parts( Book )

1 edition published in 1996 in English and held by 1 WorldCat member library worldwide

The paper describes the principles of creating the expert-examination computer system for estimating the operational status of technical equipment which, on the basis of generalizing a multi-year experience in operating aeronautical and other engineering with the use of the metallophysical analysis methods, enables making conclusions on the causes of the wear and breakdowns of machine parts and structural members as well as predicting potential failures and choosing the best suited flaw detection method for similar technical equipment
Computability of Julia Sets (Algorithms and computation in mathematics, v. 23) by Mark Braverman( Book )

1 edition published in 2009 in Undetermined and held by 1 WorldCat member library worldwide

Computability of Julia Sets( )

1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide

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Computability of Julia sets
Alternative Names
I︠A︡mpolʹskiĭ, Mikhail 1972-

Yampolsky, M. 1972-

English (47)

Holomorphic dynamics and renormalization : a volume in honour of John Milnor's 75th birthday