Celebrate the holidays with Apress Access for just $/£/€ 99!

C.I.M.E. Foundation Subseries

Singular Random Dynamics

Cetraro, Italy 2016

Authors: Gubinelli, Massimiliano, Souganidis, Takis, Tzvetkov, Nikolay

Editors: Flandoli, Franco, Gubinelli, Massimiliano, Hairer, Martin (Eds.)

Free Preview
  • Presents advanced techniques for the KPZ equation and a wide bibliography on singular SPDEs
  • IIncludes novel results for dispersive equations made possible by randomizing initial conditions
  • Offers a unique exposition of the theory of fully nonlinear SPDEs
see more benefits

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-030-29545-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-030-29544-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Written by leading experts in an emerging field, this book offers a unique view of the theory of stochastic partial differential equations, with lectures on the stationary KPZ equation, fully nonlinear SPDEs, and random data wave equations. This subject has recently attracted a great deal of attention, partly as a consequence of Martin Hairer's contributions and in particular his creation of a theory of regularity structures for SPDEs, for which he was awarded the Fields Medal in 2014.

The text comprises three lectures covering: the theory of stochastic Hamilton–Jacobi equations, one of the most intriguing and rich new chapters of this subject; singular SPDEs, which are at the cutting edge of innovation in the field following the breakthroughs of regularity structures and related theories, with the KPZ equation as a central example; and the study of dispersive equations with random initial conditions, which gives new insights into classical problems and at the same time provides a surprising parallel to the theory of singular SPDEs, viewed from many different perspectives.

These notes are aimed at graduate students and researchers who want to familiarize themselves with this new field, which lies at the interface between analysis and probability.


Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-030-29545-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-030-29544-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

Services for this book

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Singular Random Dynamics
Book Subtitle
Cetraro, Italy 2016
Authors
Editors
  • Franco Flandoli
  • Massimiliano Gubinelli
  • Martin Hairer
Series Title
C.I.M.E. Foundation Subseries
Series Volume
2253
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-29545-5
DOI
10.1007/978-3-030-29545-5
Softcover ISBN
978-3-030-29544-8
Edition Number
1
Number of Pages
IX, 316
Number of Illustrations
2 b/w illustrations
Topics