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Statistical mechanics and fractals / R.L. Dobrushin, S. Kusuoka.

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1567.Publication details: Berlin ; New York : Springer-Verlag, ©1993.Description: 1 online resource (98 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540482055
  • 3540482059
Subject(s): Additional physical formats: Print version:: Statistical mechanics and fractals.DDC classification:
  • 510 s 530.1/3 20
LOC classification:
  • QA3 .L28 no. 1567 QC174.8
Other classification:
  • 33.26
  • 60K35
  • 60J60
Online resources:
Contents:
Pt. 1. On the Way to the Mathematical Foundations of Statistical Mechanics / R.L. Dobrushin -- 1. Realization of the Classical Fluid Model -- 2. Dynamics of a Finite System -- 3. Dynamics of an Infinite System -- 4. Random Evolution -- 5. Gibbsian States in Finite Volumes -- 6. Gibbsian Measures in an Infinite Volume -- 7. Random Evolution (revisited) -- 8. Hydrodynamical Equations -- pt. 2. Diffusion Processes on Nested Fractals / S. Kusuoka -- 1. Self-similar Fractal -- 2. Nested fractals and their geometrical properties -- 3. Transition probability of Markov chain -- 4. Dirichlet form on nested fractal -- 5. Probability measure induced by random matrices -- 6. Expression of Dirichlet form -- 7. Some remarks for the measure [mu].
Action note:
  • digitized 2010 HathiTrust Digital Library committed to preserve
Summary: This book is composed of two texts, by R.L. Dobrushin and S. Kusuoka, each representing the content of a course of lectures given by the authors. They are pitched at graduate student level and are thus very accessible introductions to their respective subjects for students and non specialists. CONTENTS: R.L. Dobrushin: On the Way to the Mathematical Foundations of Statistical Mechanics.- S. Kusuoka: Diffusion Processes on Nested Fractals.
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Includes bibliographical references.

This book is composed of two texts, by R.L. Dobrushin and S. Kusuoka, each representing the content of a course of lectures given by the authors. They are pitched at graduate student level and are thus very accessible introductions to their respective subjects for students and non specialists. CONTENTS: R.L. Dobrushin: On the Way to the Mathematical Foundations of Statistical Mechanics.- S. Kusuoka: Diffusion Processes on Nested Fractals.

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Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

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digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL

Print version record.

Pt. 1. On the Way to the Mathematical Foundations of Statistical Mechanics / R.L. Dobrushin -- 1. Realization of the Classical Fluid Model -- 2. Dynamics of a Finite System -- 3. Dynamics of an Infinite System -- 4. Random Evolution -- 5. Gibbsian States in Finite Volumes -- 6. Gibbsian Measures in an Infinite Volume -- 7. Random Evolution (revisited) -- 8. Hydrodynamical Equations -- pt. 2. Diffusion Processes on Nested Fractals / S. Kusuoka -- 1. Self-similar Fractal -- 2. Nested fractals and their geometrical properties -- 3. Transition probability of Markov chain -- 4. Dirichlet form on nested fractal -- 5. Probability measure induced by random matrices -- 6. Expression of Dirichlet form -- 7. Some remarks for the measure [mu].

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