BIBLIO is the largest independent book marketplace in the world, with over 100 million books.

Skip to content

No image available
No image available

Entropy, Large Deviations, and Statistical Mechanics Hardback - 1985

by R. S. Ellis; Richard S. Ellis

Add to wish list

Reader reviews for

From the publisher

This book has two main topics: large deviations and equilibrium statistical mechanics. I hope to convince the reader that these topics have many points of contact and that in being treated together, they enrich each other. Entropy, in its various guises, is their common core. The large deviation theory which is developed in this book focuses upon convergence properties of certain stochastic systems. An elementary example is the weak law of large numbers. For each positive e, P(ISn/nl 2: e) con verges to zero as n --+ 00, where Sn is the nth partial sum of indepen dent identically distributed random variables with zero mean. Large deviation theory shows that if the random variables are exponentially bounded, then the probabilities converge to zero exponentially fast as n --+ 00. The exponen tial decay allows one to prove the stronger property of almost sure conver gence (Sn/n --+ 0 a.s.). This example will be generalized extensively in the book. We will treat a large class of stochastic systems which involve both indepen dent and dependent random variables and which have the following features: probabilities converge to zero exponentially fast as the size of the system increases; the exponential decay leads to strong convergence properties of the system. The most fascinating aspect of the theory is that the exponential decay rates are computable in terms of entropy functions. This identification between entropy and decay rates of large deviation probabilities enhances the theory significantly."

Details

  • Title Entropy, Large Deviations, and Statistical Mechanics
  • Author R. S. Ellis; Richard S. Ellis
  • Binding Hardback
  • Edition [ Edition: first
  • Pages 365
  • Volumes 1
  • Language ENG
  • Publisher Springer, New York
  • Publication date 1985-06
  • ISBN 9780387960524 / 038796052X
  • Weight 1.51 lbs (0.68 kg)
  • Category Mathematics
  • Library of Congress Catalogue Number 84013891
  • Dewey Decimal Code 621

More Copies for Sale

No image available

Entropy, Large Deviations, and Statistical Mechanics

by Ellis, R S, and Ellis, Richard S

  • Used
  • Hardback
  • first
Condition
Very good. light shelfwear, previous owner name on first page,
Binding
Hardcover
ISBN 10 / ISBN 13
9780387960524 / 038796052X
Quantity available
1
Seller
Item price
A$76.41
A$5.86 Delivery to USA

Show details

Description:
Springer, 1985. Hard cover. Very good. light shelfwear, previous owner name on first page,. Sewn binding. Cloth over boards. 365 p. Grundlehren Der Mathematischen Wissenschaften (Springer Hardcover), 271. Audience: General/trade.
Add to wish list
Item price
A$76.41
A$5.86 Delivery to USA
No image available

Entropy, Large Deviations, and Statistical Mechanics

by Ellis, R. S

  • Used
Condition
Used
ISBN 10 / ISBN 13
9780387960524 / 038796052x
Quantity available
1
Seller
Item price
A$93.96
Free Delivery to USA

Show details

Description:
Springer. Used - Very Good. Former library copy. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.
Add to wish list
Item price
A$93.96
Free Delivery to USA
No image available

Entropy, Large Deviations, and Statistical Mechanics (Grundlehren der mathematischen Wissenschaften)

by Richard S. Ellis

  • Used
  • Good
  • Hardback
Condition
Good
Binding
Hardcover
ISBN 10 / ISBN 13
9780387960524 / 038796052X
Quantity available
1
Seller
Item price
A$186.71
Free Delivery to USA

Show details

Description:
hardcover. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book.
Add to wish list
Item price
A$186.71
Free Delivery to USA