Michael B. Marcus's Books

Asymptotic Properties of Permanental Sequences

Related to Birth and Death Processes and Autoregressive Gaussian Sequences

By: Michael B. Marcus,Jay Rosen

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Asymptotic Properties of Permanental Sequences

Related to Birth and Death Processes and Autoregressive Gaussian Sequences

By: Michael B. Marcus,Jay Rosen

This SpringerBriefs employs a novel approach to obtain the precise asymptotic behavior at infinity of a large class of permanental sequences related to birth and death processes and autoregressive Gaussian sequences using techniques from the theory of Gaussian processes and Markov chains. The authors study alpha-permanental processes that are positive infinitely divisible processes determined by the potential density of a transient Markov process. When the Markov process is symmetric, a 1/2-permanental process is the square of a Gaussian process. Permanental processes are related by the Dynkin isomorphism theorem to the total accumulated local time of the Markov process when the potential density is symmetric, and by a generalization of the Dynkin theorem by Eisenbaum and Kaspi without requiring symmetry. Permanental processes are also related to chi square processes and loop soups. The book appeals to researchers and advanced graduate students interested in stochastic processes, infinitely divisible processes and Markov chains.

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Page Count

114

Publisher

Springer Nature

Published Date

ISBN 10

3030694852

ISBN 13

9783030694852

Markov Processes, Gaussian Processes, and Local Times

By: Michael B. Marcus,Jay Rosen

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Markov Processes, Gaussian Processes, and Local Times

By: Michael B. Marcus,Jay Rosen

A readable 2006 synthesis of three main areas in the modern theory of stochastic processes.

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Page Count

640

Publisher

Cambridge University Press

Published Date

ISBN 10

0521863007

ISBN 13

9780521863001

Random Fourier Series with Applications to Harmonic Analysis. (AM-101), Volume 101

By: Michael B. Marcus,Gilles Pisier

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Random Fourier Series with Applications to Harmonic Analysis. (AM-101), Volume 101

By: Michael B. Marcus,Gilles Pisier

In this book the authors give the first necessary and sufficient conditions for the uniform convergence a.s. of random Fourier series on locally compact Abelian groups and on compact non-Abelian groups. They also obtain many related results. For example, whenever a random Fourier series converges uniformly a.s. it also satisfies the central limit theorem. The methods developed are used to study some questions in harmonic analysis that are not intrinsically random. For example, a new characterization of Sidon sets is derived. The major results depend heavily on the Dudley-Fernique necessary and sufficient condition for the continuity of stationary Gaussian processes and on recent work on sums of independent Banach space valued random variables. It is noteworthy that the proofs for the Abelian case immediately extend to the non-Abelian case once the proper definition of random Fourier series is made. In doing this the authors obtain new results on sums of independent random matrices with elements in a Banach space. The final chapter of the book suggests several directions for further research.

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Page Count

152

Publisher

Princeton University Press

Published Date

ISBN 10

1400881536

ISBN 13

9781400881536

Renormalized Self-Intersection Local Times and Wick Power Chaos Processes

By: Michael B. Marcus,Jay Rosen

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Renormalized Self-Intersection Local Times and Wick Power Chaos Processes

By: Michael B. Marcus,Jay Rosen

Sufficient conditions are obtained for the continuity of renormalized self-intersection local times for the multiple intersections of a large class of strongly symmetric L vy processes in $R DEGREESm$, $m=1,2$. In $R DEGREES2$ these include Brownian motion and stable processes of index greater than 3/2, as well as many processes in their domains of attraction. In $R DEGREES1$ these include stable processes of index $3/4

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Page Count

138

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821813404

ISBN 13

9780821813409

$\xi $-Radial Processes and Random Fourier Series

By: Michael B. Marcus

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$\xi $-Radial Processes and Random Fourier Series

By: Michael B. Marcus

A -radial process is a stochastic process whose finite joint distributions are defined in terms of a symmetric real valued infinitely divisible random variable . This monograph is a study of the sample path continuity of a certain class of stationary stochastic processes.

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Page Count

193

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821824325

ISBN 13

9780821824320

Intersection Local Times, Loop Soups and Permanental Wick Powers

By: Yves Le Jan,Michael B. Marcus,Jay Rosen

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Intersection Local Times, Loop Soups and Permanental Wick Powers

By: Yves Le Jan,Michael B. Marcus,Jay Rosen

Several stochastic processes related to transient Lévy processes with potential densities , that need not be symmetric nor bounded on the diagonal, are defined and studied. They are real valued processes on a space of measures endowed with a metric . Sufficient conditions are obtained for the continuity of these processes on . The processes include -fold self-intersection local times of transient Lévy processes and permanental chaoses, which are `loop soup -fold self-intersection local times' constructed from the loop soup of the Lévy process. Loop soups are also used to define permanental Wick powers, which generalizes standard Wick powers, a class of -th order Gaussian chaoses. Dynkin type isomorphism theorems are obtained that relate the various processes. Poisson chaos processes are defined and permanental Wick powers are shown to have a Poisson chaos decomposition. Additional properties of Poisson chaos processes are studied and a martingale extension is obtained for many of the processes described above.

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American Mathematical Soc.

Published Date

ISBN 10

1470436957

ISBN 13

9781470436957

Pediatric Laboratory Medicine

By: Patricia M. Jones,Dennis J. Dietzen,Shannon Haymond,Michael J. Bennett

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Pediatric Laboratory Medicine

By: Patricia M. Jones,Dennis J. Dietzen,Shannon Haymond,Michael J. Bennett

A complete full-color guide to medical laboratory test selection and test result interpretation for disorders and diagnoses specific to pediatric and neonatal populations Laboratory medicine practiced at a pediatric institution has unique characteristics specific to infants and children, who differ both metabolically and biochemically from adults. Many aspects of laboratory medicine are affected by these differences, from basic, day-to-day operational issues through test selection for pediatric-specific disorders. However, most references in laboratory medicine merely touch upon pediatrics – and offer little if any coverage of variations in testing and results for different age groups, or the many diseases and disorders most common in infants and children. Pediatric Laboratory Medicine is specifically written to fill this critical void in the literature. Now, for the first time, all important reference material concerning pediatric laboratory medicine is available in one convenient, up-to-date resource. Pediatric Laboratory Medicine teaches the effective operation of a pediatric clinical operation, and also provides guidelines for teaching trainees. This unique text delivers the how-to instruction necessary to ensure proper handling and testing of pediatric specimens to ensure accurate diagnosis. Valuable learning aids include learning objectives, end-of-chapter review questions, and references for further study. Written by experienced clinicians, the book’s seventeen chapters cover virtually every important topic – from daily issues in the practice of pediatric laboratory medicine to common tests and considerations to inborn errors of metabolism and therapeutic drug monitoring. Enhanced by numerous tables and high-quality full-color images, this authoritative resource delivers everything necessary for effective pediatric laboratory medicine training and practice.

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Page Count

724

Publisher

McGraw Hill Professional

Published Date

ISBN 10

0071839275

ISBN 13

9780071839273

Quiz Master Football

By: Michael Pellowski

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Quiz Master Football

By: Michael Pellowski

Test your knowledge of sports trivia in football.

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Page Count

116

Publisher

Willowisp Press

Published Date

ISBN 10

0874068703

ISBN 13

9780874068702

Management of the Difficult and Failed Airway, Third Edition

By: Orlando Hung,Michael F. Murphy

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Management of the Difficult and Failed Airway, Third Edition

By: Orlando Hung,Michael F. Murphy

Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product. A full-color, case-based guide to effectively managing airway emergencies – updated to reflect the latest devices and techniques Written by the creators of the Difficult Airway Course: AnesthesiaTM ,this beautifully illustrated and extensively referenced text delivers a comprehensive review of the latest options available for airway management and offers expert coverage of the full spectrum of airway management techniques. Within its pages you will find the most up-to-date review available of the many innovations that been introduced since publication of the previous edition. This is accompanied by a thorough review of the pharmacology of airway management designed to help you understand how to achieve the desired effects on ventilation and muscle strength. You will also find numerous algorithms, many of which have been revised for this edition. Presented in full color, the book is enhanced by dozens of airway management vignettes, divided into: •Pre-Hospital Airway Management •Airway Management in the Intensive Care Unit •Airway Management in the Operating Room •Airway Management in the Pediatric Population •Airway Management in Unique Environment These cases teach trainees the fundamental approaches to airway management, and include self-evaluation questions to reinforce the lesson. For experienced anesthesiologists, the cases present an opportunity to learn about recently introduced devices and techniques they may wish to incorporate into their clinical practice. If you are in need of an expertly written text that describes all of the leading-edge principles, tools, and procedures of airway assessment and management, your search ends here.

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Page Count

720

Publisher

McGraw Hill Professional

Published Date

ISBN 10

1259640558

ISBN 13

9781259640551

Book's by Michael B. Marcus

Asymptotic Properties of Permanental Sequences

Asymptotic Properties of Permanental Sequences

Markov Processes, Gaussian Processes, and Local Times

Markov Processes, Gaussian Processes, and Local Times

Random Fourier Series with Applications to Harmonic Analysis. (AM-101), Volume 101

Random Fourier Series with Applications to Harmonic Analysis. (AM-101), Volume 101

Renormalized Self-Intersection Local Times and Wick Power Chaos Processes

Renormalized Self-Intersection Local Times and Wick Power Chaos Processes

$\xi $-Radial Processes and Random Fourier Series

$\xi $-Radial Processes and Random Fourier Series

Intersection Local Times, Loop Soups and Permanental Wick Powers

Intersection Local Times, Loop Soups and Permanental Wick Powers

Pediatric Laboratory Medicine

Pediatric Laboratory Medicine

Quiz Master Football

Quiz Master Football

Management of the Difficult and Failed Airway, Third Edition

Management of the Difficult and Failed Airway, Third Edition

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