Ergodic Theory of Expanding Thurston Maps

Ergodic Theory of Expanding Thurston Maps
Title Ergodic Theory of Expanding Thurston Maps PDF eBook
Author Zhiqiang Li
Publisher Springer
Pages 190
Release 2017-04-06
Genre Mathematics
ISBN 9462391742

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Thurston maps are topological generalizations of postcritically-finite rational maps. This book provides a comprehensive study of ergodic theory of expanding Thurston maps, focusing on the measure of maximal entropy, as well as a more general class of invariant measures, called equilibrium states, and certain weak expansion properties of such maps. In particular, we present equidistribution results for iterated preimages and periodic points with respect to the unique measure of maximal entropy by investigating the number and locations of fixed points. We then use the thermodynamical formalism to establish the existence, uniqueness, and various other properties of the equilibrium state for a Holder continuous potential on the sphere equipped with a visual metric. After studying some weak expansion properties of such maps, we obtain certain large deviation principles for iterated preimages and periodic points under an additional assumption on the critical orbits of the maps. This enables us to obtain general equidistribution results for such points with respect to the equilibrium states under the same assumption.

Official Gazette of the United States Patent Office

Official Gazette of the United States Patent Office
Title Official Gazette of the United States Patent Office PDF eBook
Author USA Patent Office
Publisher
Pages 2032
Release 1895
Genre
ISBN

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Expanding Homeownership Opportunities

Expanding Homeownership Opportunities
Title Expanding Homeownership Opportunities PDF eBook
Author United States. Congress. Senate. Committee on Banking, Housing, and Urban Affairs
Publisher
Pages 92
Release 2004
Genre Business & Economics
ISBN

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Expanding NAFTA

Expanding NAFTA
Title Expanding NAFTA PDF eBook
Author Carmen Zechner
Publisher LIT Verlag Münster
Pages 298
Release 2002
Genre Business & Economics
ISBN 9783825859220

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The world economy has witnessed a sudden increase in free trade agreements, generating a renewed debate on their economic impact. In Expanding NAFTA Carmen Zechner focuses on the economic effects on Chile of the potential free trade agreement with the United States. The author creates a framework for analyzing the impact of economic integration between a developed and a developing country from the developing country's perspective. This book goes beyond earlier analyses of the static gains from free trade to examine the dynamic and more intangible effects that are critical to the welfare evaluation of trade agreements. Expanding NAFTA is an important contribution to the research on preferential trade liberalization and to understanding developing countries' trade policy choices. This book will be indispensable to anyone interested in trade policy making and the Chilean economy.

Transactions

Transactions
Title Transactions PDF eBook
Author Linnean Society of London
Publisher
Pages 336
Release 1886
Genre Zoology
ISBN

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The Horseless Age

The Horseless Age
Title The Horseless Age PDF eBook
Author
Publisher
Pages 762
Release 1903
Genre Automobile industry and trade
ISBN

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Expanding Issues in Desalination

Expanding Issues in Desalination
Title Expanding Issues in Desalination PDF eBook
Author Robert Y. Ning
Publisher BoD – Books on Demand
Pages 428
Release 2011-09-22
Genre Science
ISBN 9533076240

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For this book, the term "desalination" is used in the broadest sense of the removal of dissolved, suspended, visible and invisible impurities in seawater, brackish water and wastewater, to make them drinkable, or pure enough for industrial applications like in the processes for the production of steam, power, pharmaceuticals and microelectronics, or simply for discharge back into the environment. This book is a companion volume to "Desalination, Trends and Technologies", INTECH, 2011, expanding on the extension of seawater desalination to brackish and wastewater desalination applications, and associated technical issues. For students and workers in the field of desalination, this book provides a summary of key concepts and keywords with which detailed information may be gathered through internet search engines. Papers and reviews collected in this volume covers the spectrum of topics on the desalination of water, too broad to delve into in depth. The literature citations in these papers serve to fill in gaps in the coverage of this book. Contributions to the knowledge-base of desalination is expected to continue to grow exponentially in the coming years.