Stock Image

Hitting Probabilities for Nonlinear Systems of Stochastic Waves

0 ratings by Goodreads
ISBN 10: 1470414236 / ISBN 13: 9781470414238
Published by American Mathematical Society 1
New Condition: New Soft cover
From Powell's Books (Portland, OR, U.S.A.)

AbeBooks Seller Since June 11, 1997

Quantity Available: 1

Buy New
List Price: US$ 70.00
Price: US$ 49.00 Convert Currency
Shipping: US$ 4.49 Within U.S.A. Destination, Rates & Speeds
Add to basket

30 Day Return Policy

About this Item

TRADE PAPERBACK Legendary independent bookstore online since 1994. Reliable customer service and no-hassle return policy. Book: NEW, New. Bookseller Inventory # 64978147041423800. Bookseller Inventory # 64978147041423800

Ask Seller a Question

Bibliographic Details

Title: Hitting Probabilities for Nonlinear Systems ...

Publisher: American Mathematical Society 1

Binding: Trade Paperback

Book Condition:New

About this title


The authors consider a $d$-dimensional random field $u = \{u(t,x)\}$ that solves a non-linear system of stochastic wave equations in spatial dimensions $k \in \{1,2,3\}$, driven by a spatially homogeneous Gaussian noise that is white in time. They mainly consider the case where the spatial covariance is given by a Riesz kernel with exponent $\beta$. Using Malliavin calculus, they establish upper and lower bounds on the probabilities that the random field visits a deterministic subset of $\mathbb{R}^d$, in terms, respectively, of Hausdorff measure and Newtonian capacity of this set. The dimension that appears in the Hausdorff measure is close to optimal, and shows that when $d(2-\beta) > 2(k+1)$, points are polar for $u$. Conversely, in low dimensions $d$, points are not polar. There is, however, an interval in which the question of polarity of points remains open.

About the Author:

Robert C. Dalang, Ecole Polytechnique Federale de Lausanne, Switzerland, and University of Barcelona, Spain. Marta Sanz-Sole, University of Barcelona, Spain.

"About this title" may belong to another edition of this title.

Store Description

Visit Seller's Storefront

Terms of Sale:

All books are available on a first ordered/first served basis. Multivolume sets are charged a per book shipping rate. DEALERS: Sorry, but we offer no dealer discount. Also, we are not able to act as third party drop shippers on your behalf. Canadian customers: please note we include GST on all our Canadian orders at the time your order is processed.

CONDITION/EDITION INQUIRIES: If you have questions concerning specific books not addressed by the citations on, place an order for the ...

More Information
Shipping Terms:

Shipping Speed within the United States
Expedited: 2 to 7 business days.
Standard: 4 to 9 business days. (Please note that while the overwhelming majority of packages shipped via our Standard method arrive within the time specified above, in rare cases shipments can take 3 to 8 weeks to arrive.)

Shipping Speed outside of the United States
Expedited to Canada: 5 to 10 business days.
Expedited to all other countries: generally takes 7 to 12 business days (some exceptions apply).
Economy Mail to Canada: 7-15 business days.
Economy Mail to all other countries: generally takes 5 to 21 business days (some exceptions apply).

Canadian customers: please note we include GST on all our Canadian orders at the time your order is processed. Multi-volume sets are subject to a per book shipping charge.

List this Seller's Books

Payment Methods
accepted by seller

Visa Mastercard American Express