It takes the average reader 2 hours and 1 minute to read A Variational Theory of Convolution-Type Functionals by Roberto Alicandro
Assuming a reading speed of 250 words per minute. Learn more
This book provides a general treatment of a class of functionals modelled on convolution energies with kernel having finite p-moments. A general asymptotic analysis of such non-local functionals is performed, via Gamma-convergence, in order to show that the limit may be a local functional representable as an integral. Energies of this form are encountered in many different contexts and the interest in building up a general theory is also motivated by the multiple interests in applications (e.g. peridynamics theory, population dynamics phenomena and data science). The results obtained are applied to periodic and stochastic homogenization, perforated domains, gradient flows, and point-clouds models. This book is mainly intended for mathematical analysts and applied mathematicians who are also interested in exploring further applications of the theory to pass from a non-local to a local description, both in static problems and in dynamic problems.
A Variational Theory of Convolution-Type Functionals by Roberto Alicandro is 121 pages long, and a total of 30,371 words.
This makes it 41% the length of the average book. It also has 37% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 2 hours and 45 minutes to read A Variational Theory of Convolution-Type Functionals aloud.
A Variational Theory of Convolution-Type Functionals is suitable for students ages 10 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.
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