Historical Processes
Historical Processes

Author: Donald Andrew Dawson

Publisher: American Mathematical Soc.

Published: 1991

Total Pages: 189

ISBN-13: 0821825089

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The historical process is constructed to be a superprocess associated with a general motion process and branching mechanism, which is enriched so as to contain information on genealogy. In other words, it is a Markov process taking values in the space of measures on the set of possible histories. Using the canonical representation for the infinitely divisible random measures which describe the process at fixed times, the authors obtain analytical and probabilistic representations for the associated Palm measures. They employ these representations to obtain results on the modulus of continuity and equilibirium structure for a class of superprocesses in Rd and to establish that super-Brownian motion in dimensions d 53 has constant density with respect to the appropriate Hausdorff measure.

Historical Dynamics
Historical Dynamics

Author: Peter Turchin

Publisher: Princeton University Press

Published: 2018-05-08

Total Pages: 260

ISBN-13: 1400889316

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Many historical processes are dynamic. Populations grow and decline. Empires expand and collapse. Religions spread and wither. Natural scientists have made great strides in understanding dynamical processes in the physical and biological worlds using a synthetic approach that combines mathematical modeling with statistical analyses. Taking up the problem of territorial dynamics--why some polities at certain times expand and at other times contract--this book shows that a similar research program can advance our understanding of dynamical processes in history. Peter Turchin develops hypotheses from a wide range of social, political, economic, and demographic factors: geopolitics, factors affecting collective solidarity, dynamics of ethnic assimilation/religious conversion, and the interaction between population dynamics and sociopolitical stability. He then translates these into a spectrum of mathematical models, investigates the dynamics predicted by the models, and contrasts model predictions with empirical patterns. Turchin's highly instructive empirical tests demonstrate that certain models predict empirical patterns with a very high degree of accuracy. For instance, one model accounts for the recurrent waves of state breakdown in medieval and early modern Europe. And historical data confirm that ethno-nationalist solidarity produces an aggressively expansive state under certain conditions (such as in locations where imperial frontiers coincide with religious divides). The strength of Turchin's results suggests that the synthetic approach he advocates can significantly improve our understanding of historical dynamics.

The Big Six Historical Thinking Concepts
The Big Six Historical Thinking Concepts

Author: Peter Seixas

Publisher:

Published: 2012-07-30

Total Pages: 218

ISBN-13: 9780176541545

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Authors Peter Seixas and Tom Morton provide a guide to bring powerful understandings of these six historical thinking concepts into the classroom through teaching strategies and model activities. Table of Contents Historical Significance Evidence Continuity and Change Cause and Consequence Historical Perspectives The Ethical Dimension The accompanying DVD-ROM includes: Modifiable Blackline Masters All graphics, photographs, and illustrations from the text Additional teaching support Order Information: All International Based Customers (School, University and Consumer): All US based customers please contact [email protected] All International customers (exception US and Asia) please contact Nelson.international@ne lson.com

Patterns and Processes in the History of Life
Patterns and Processes in the History of Life

Author: D.M. Raup

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 448

ISBN-13: 3642708315

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Hypothesis testing is not a straightforward matter in the fossil record and here, too interactions with biology can be extremely profitable. Quite simply, predictions regarding long-term consequences of processes observed in liv ing organisms can be tested directly using paleontological data if those liv ing organisms have an adequate fossil record, thus avoiding the pitfalls of extrapolative approaches. We hope to see a burgeoning of this interactive effort in the coming years. Framing and testing of hypotheses in paleon tological subjects inevitably raises the problem of inferring process from pattern, and the consideration and elimination of a broad range of rival hy is an essential procedure here. In a historical science such as potheses paleontology, the problem often arises that the events that are of most in terest are unique in the history of life. For example, replication of the metazoan radiation at the beginning of the Cambrian is not feasible. How ever, decomposition of such problems into component hypotheses may at least in part alleviate this difficulty. For example, hypotheses built upon the role of species packing might be tested by comparing evolutionary dy namics (both morphological and taxonomic) during another global diversi fication, such as the biotic rebound from the end-Permian extinction, which removed perhaps 95% of the marine species (see Valentine, this volume). The subject of extinction, and mass extinction in particular, has become important in both paleobiology and biology.

Methods in World History
Methods in World History

Author: Arne Jarrick

Publisher: Nordic Academic Press

Published: 2016-01-07

Total Pages: 256

ISBN-13: 9188168492

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Methods in World History is the first international volume that systematically addresses a number of methodological problems specific to the field of World History. Prompted by a lack of applicable works, the authors advocate a considerable sharpening of the tools used within the discipline. Theories constructed on poor foundations run an obvious risk of reinforcing flawed assumptions, and of propping up other, more ideological constructions. The dedicated critical approach outlined in this volume helps to mitigate such risks. Each essay addresses a particular issue, discussing its problems, giving practical examples, and offering solutions and ways of overcoming the difficulties involved. The perspectives are varied, the criticism focussed, and a common theme of coalescence is maintained throughout. This unique anthology will be of great use to advanced scholars of World History, and to students entering the field for the first time.