 |
|
|
Item Details
| Title:
|
VOLUME DOUBLING MEASURES AND HEAT KERNEL ESTIMATES ON SELF-SIMILAR SETS
|
| By: |
Jun Kigami |
| Format: |
Paperback |
| List price:
|
£68.50 |
|
We currently do not stock this item, please contact the publisher directly for
further information.
|
|
|
|
|
|
| ISBN 10: |
0821842927 |
| ISBN 13: |
9780821842928 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 April, 2009 |
| Series: |
Memoirs of the American Mathematical Society 199, 932 |
| Pages: |
94 |
| Description: |
Introduces a different class of self-similar set, called rationally ramified self-similar sets containing both the Sierpinski gasket and the (higher dimensional) Sierpinski carpet. This title shows the volume doubling property to be equivalent to the upper Li-Yau type sub-Gaussian diagonal estimate of a heat kernel. |
| Synopsis: |
This paper studies the following three problems: when does a measure on a self-similar set have the volume doubling property with respect to a given distance? Is there any distance on a self-similar set under which the contraction mappings have the prescribed values of contractions ratios? And when does a heat kernel on a self-similar set associated with a self-similar Dirichlet form satisfy the Li-Yau type sub-Gaussian diagonal estimate? These three problems turn out to be closely related. The author introduces a new class of self-similar set, called rationally ramified self-similar sets containing both the Sierpinski gasket and the (higher dimensional) Sierpinski carpet and gives complete solutions of the above three problems for this class. In particular, the volume doubling property is shown to be equivalent to the upper Li-Yau type sub-Gaussian diagonal estimate of a heat kernel. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
|
|
|
 |
|
|
|
|
|
Little Worried Caterpillar (PB)
Little Green knows she''s about to make a big change - transformingfrom a caterpillar into a beautiful butterfly. Everyone is VERYexcited! But Little Green is VERY worried. What if being a butterflyisn''t as brilliant as everyone says?Join Little Green as she finds her own path ... with just a littlehelp from her friends.
|
|
All the Things We Carry PB
What can you carry?A pebble? A teddy? A bright red balloon? A painting you''ve made?A hope or a dream?This gorgeous, reassuring picture book celebrates all the preciousthings we can carry, from toys and treasures to love and hope. With comforting rhymes and fabulous illustrations, this is a warmhug of a picture book.
|
|
|
|