Krzysztof Burdzy's Books

Resonance: From Probability To Epistemology And Back

By: Krzysztof Burdzy

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Resonance: From Probability To Epistemology And Back

By: Krzysztof Burdzy

Resonance examines some building blocks of epistemology as a prelude to the careful analysis of the foundations of probability. The concept of resonance is introduced to shed light on the philosophical problems of induction, consciousness, intelligence and free will. The same concept is later applied to provide support for a new philosophical theory of probability.Although based on existing ideas and theories, the epistemological concept of resonance is investigated for the first time in this book. The best-known philosophical theories of probability, frequency and subjective, are shown to be unrealistic and dissociated from the two main branches of statistics: frequency statistics and Bayesian statistics.Written in an accessible style, this book can be enjoyed by philosophers, statisticians and mathematicians, and also by anyone looking to expand their understanding of the disciplines of epistemology and probability.

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Page Count

429

Publisher

World Scientific

Published Date

ISBN 10

1783269227

ISBN 13

9781783269228

The Search for Certainty

On the Clash of Science and Philosophy of Probability

By: Krzysztof Burdzy

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The Search for Certainty

On the Clash of Science and Philosophy of Probability

By: Krzysztof Burdzy

This volume represents a radical departure from the current philosophical duopoly in the area of foundations of probability, that is, the frequency and subjective theories. One of the main new ideas is a set of scientific laws of probability. The new laws are simple, intuitive and, last but not least, they agree well with the contents of current textbooks on probability. Another major new claim is that the ?frequency statistics? has nothing in common with the ?frequency philosophy of probability,? contrary to popular belief. Similarly, contrary to the general perception, the ?Bayesian statistics? shares nothing in common with the ?subjective philosophy of probability.? This volume is non-partisan on the scientific side ? that it is supportive of both frequency statistics and Bayesian statistics. On the other hand, it contains well-documented and thoroughly-explained criticisms of the frequency and subjective philosophies of probability. Short reviews of other philosophical theories of probability and basic mathematical methods of probability and statistics are incorporated. This volume includes essential chapters on decision theory and teaching probability, and it is easily accessible to the general audience.

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Page Count

270

Publisher

World Scientific

Published Date

ISBN 10

9814273708

ISBN 13

9789814273701

Search For Certainty, The: On The Clash Of Science And Philosophy Of Probability

By: Krzysztof Burdzy

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Search For Certainty, The: On The Clash Of Science And Philosophy Of Probability

By: Krzysztof Burdzy

This volume represents a radical departure from the current philosophical duopoly in the area of foundations of probability, that is, the frequency and subjective theories. One of the main new ideas is a set of scientific laws of probability. The new laws are simple, intuitive and, last but not least, they agree well with the contents of current textbooks on probability. Another major new claim is that the “frequency statistics” has nothing in common with the “frequency philosophy of probability,” contrary to popular belief. Similarly, contrary to the general perception, the “Bayesian statistics” shares nothing in common with the “subjective philosophy of probability.”The book is non-partisan on the scientific side — it is supportive of both frequency statistics and Bayesian statistics. On the other hand, it contains well-documented and thoroughly-explained criticisms of the frequency and subjective philosophies of probability. Short reviews of other philosophical theories of probability and basic mathematical methods of probability and statistics are incorporated. The book includes substantial chapters on decision theory and teaching probability, and it is easily accessible to the general audience.

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Page Count

270

Publisher

World Scientific

Published Date

ISBN 10

9814467839

ISBN 13

9789814467834

Cutting Brownian Paths

By: Richard F. Bass,Krzysztof Burdzy

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Cutting Brownian Paths

By: Richard F. Bass,Krzysztof Burdzy

A long open problem in probability theory has been the following: Can the graph of planar Brownian motion be split by a straight line? In this volume, the authors provide a solution, discuss related works, and present a number of open problems.

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Page Count

113

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821809687

ISBN 13

9780821809686

Brownian Motion and its Applications to Mathematical Analysis

École d'Été de Probabilités de Saint-Flour XLIII – 2013

By: Krzysztof Burdzy

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Brownian Motion and its Applications to Mathematical Analysis

École d'Été de Probabilités de Saint-Flour XLIII – 2013

By: Krzysztof Burdzy

These lecture notes provide an introduction to the applications of Brownian motion to analysis and more generally, connections between Brownian motion and analysis. Brownian motion is a well-suited model for a wide range of real random phenomena, from chaotic oscillations of microscopic objects, such as flower pollen in water, to stock market fluctuations. It is also a purely abstract mathematical tool which can be used to prove theorems in "deterministic" fields of mathematics. The notes include a brief review of Brownian motion and a section on probabilistic proofs of classical theorems in analysis. The bulk of the notes are devoted to recent (post-1990) applications of stochastic analysis to Neumann eigenfunctions, Neumann heat kernel and the heat equation in time-dependent domains.

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Page Count

145

Publisher

Springer

Published Date

ISBN 10

3319043943

ISBN 13

9783319043944

Brownian Motion and its Applications to Mathematical Analysis

École d'Été de Probabilités de Saint-Flour XLIII – 2013

By: Krzysztof Burdzy

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Brownian Motion and its Applications to Mathematical Analysis

École d'Été de Probabilités de Saint-Flour XLIII – 2013

By: Krzysztof Burdzy

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Page Count

145

Publisher

Springer

Published Date

ISBN 10

3319043943

ISBN 13

9783319043944

The Search for Certainty

On the Clash of Science and Philosophy of Probability

By: Krzysztof Burdzy

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The Search for Certainty

On the Clash of Science and Philosophy of Probability

By: Krzysztof Burdzy

This volume represents a radical departure from the current philosophical duopoly in the area of foundations of probability, that is, the frequency and subjective theories. One of the main new ideas is a set of scientific laws of probability. The new laws are simple, intuitive and, last but not least, they agree well with the contents of current textbooks on probability. Another major new claim is that the OC frequency statisticsOCO has nothing in common with the OC frequency philosophy of probability, OCO contrary to popular belief. Similarly, contrary to the general perception, the OC Bayesian statisticsOCO shares nothing in common with the OC subjective philosophy of probability.OCO The book is non-partisan on the scientific side OCo it is supportive of both frequency statistics and Bayesian statistics. On the other hand, it contains well-documented and thoroughly-explained criticisms of the frequency and subjective philosophies of probability. Short reviews of other philosophical theories of probability and basic mathematical methods of probability and statistics are incorporated. The book includes substantial chapters on decision theory and teaching probability, and it is easily accessible to the general audience

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Page Count

270

Publisher

World Scientific

Published Date

ISBN 10

9814273716

ISBN 13

9789814273718

Search For Certainty, The: On The Clash Of Science And Philosophy Of Probability

By: Krzysztof Burdzy

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Search For Certainty, The: On The Clash Of Science And Philosophy Of Probability

By: Krzysztof Burdzy

This volume represents a radical departure from the current philosophical duopoly in the area of foundations of probability, that is, the frequency and subjective theories. One of the main new ideas is a set of scientific laws of probability. The new laws are simple, intuitive and, last but not least, they agree well with the contents of current textbooks on probability. Another major new claim is that the “frequency statistics” has nothing in common with the “frequency philosophy of probability,” contrary to popular belief. Similarly, contrary to the general perception, the “Bayesian statistics” shares nothing in common with the “subjective philosophy of probability.”The book is non-partisan on the scientific side — it is supportive of both frequency statistics and Bayesian statistics. On the other hand, it contains well-documented and thoroughly-explained criticisms of the frequency and subjective philosophies of probability. Short reviews of other philosophical theories of probability and basic mathematical methods of probability and statistics are incorporated. The book includes substantial chapters on decision theory and teaching probability, and it is easily accessible to the general audience.

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Solve jigsaw puzzle

Age

Page Count

270

Publisher

World Scientific

Published Date

ISBN 10

9814467839

ISBN 13

9789814467834

Cutting Brownian Paths

By: Richard F. Bass,Krzysztof Burdzy

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Cutting Brownian Paths

By: Richard F. Bass,Krzysztof Burdzy

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Solve jigsaw puzzle

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Page Count

113

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821809687

ISBN 13

9780821809686

Resonance: From Probability To Epistemology And Back

By: Krzysztof Burdzy

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Resonance: From Probability To Epistemology And Back

By: Krzysztof Burdzy

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Solve jigsaw puzzle

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Page Count

429

Publisher

World Scientific

Published Date

ISBN 10

1783269227

ISBN 13

9781783269228

Brownian Motion and Its Applications to Mathematical Analysis

ÂEcole D'âEtâe de Probabilitâes de Saint-Flour XLIII - 2013

By: Krzysztof Burdzy

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Brownian Motion and Its Applications to Mathematical Analysis

ÂEcole D'âEtâe de Probabilitâes de Saint-Flour XLIII - 2013

By: Krzysztof Burdzy

These lecture notes provide an introduction to the applications of Brownian motion to analysis and, more generally, connections between Brownian motion and analysis. Brownian motion is a well-suited model for a wide range of real random phenomena, from chaotic oscillations of microscopic objects, such as flower pollen in water, to stock market fluctuations. It is also a purely abstract mathematical tool which can be used to prove theorems in "deterministic" fields of mathematics. The notes include a brief review of Brownian motion and a section on probabilistic proofs of classical theorems in analysis. The bulk of the notes are devoted to recent (post-1990) applications of stochastic analysis to Neumann eigenfunctions, Neumann heat kernel and the heat equation in time-dependent domains.

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Solve jigsaw puzzle

Age

Page Count

137

Published Date

ISBN 10

331970947X

ISBN 13

9783319709475

Book's by Krzysztof Burdzy

Resonance: From Probability To Epistemology And Back

Resonance: From Probability To Epistemology And Back

The Search for Certainty

The Search for Certainty

Search For Certainty, The: On The Clash Of Science And Philosophy Of Probability

Search For Certainty, The: On The Clash Of Science And Philosophy Of Probability

Cutting Brownian Paths

Cutting Brownian Paths

Brownian Motion and its Applications to Mathematical Analysis

Brownian Motion and its Applications to Mathematical Analysis

Brownian Motion and its Applications to Mathematical Analysis

Brownian Motion and its Applications to Mathematical Analysis

The Search for Certainty

The Search for Certainty

Search For Certainty, The: On The Clash Of Science And Philosophy Of Probability

Search For Certainty, The: On The Clash Of Science And Philosophy Of Probability

Cutting Brownian Paths

Cutting Brownian Paths

Resonance: From Probability To Epistemology And Back

Resonance: From Probability To Epistemology And Back

Brownian Motion and Its Applications to Mathematical Analysis

Brownian Motion and Its Applications to Mathematical Analysis

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