How Long to Read Hitting Probabilities for Nonlinear Systems of Stochastic Waves
By Robert C. Dalang
How Long Does it Take to Read Hitting Probabilities for Nonlinear Systems of Stochastic Waves?
It takes the average reader 1 hour and 16 minutes to read Hitting Probabilities for Nonlinear Systems of Stochastic Waves by Robert C. Dalang
Assuming a reading speed of 250 words per minute. Learn more
Description
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∈{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 β. Using Malliavin calculus, they establish upper and lower bounds on the probabilities that the random field visits a deterministic subset of Rd, 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−β)>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.
How long is Hitting Probabilities for Nonlinear Systems of Stochastic Waves?
Hitting Probabilities for Nonlinear Systems of Stochastic Waves by Robert C. Dalang is 75 pages long, and a total of 19,125 words.
This makes it 25% the length of the average book. It also has 23% more words than the average book.
How Long Does it Take to Read Hitting Probabilities for Nonlinear Systems of Stochastic Waves Aloud?
The average oral reading speed is 183 words per minute. This means it takes 1 hour and 44 minutes to read Hitting Probabilities for Nonlinear Systems of Stochastic Waves aloud.
What Reading Level is Hitting Probabilities for Nonlinear Systems of Stochastic Waves?
Hitting Probabilities for Nonlinear Systems of Stochastic Waves is suitable for students ages 8 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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