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Singular Random Dynamics
  • Language: en
  • Pages: 316

Singular Random Dynamics

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...

Lectures on Nonlinear Dispersive Equations
  • Language: en
  • Pages: 176

Lectures on Nonlinear Dispersive Equations

  • Type: Book
  • -
  • Published: 2006-12
  • -
  • Publisher: Unknown

None

Molecular Signalling and Pathways Editor’s Picks 2021
  • Language: en
  • Pages: 186

Molecular Signalling and Pathways Editor’s Picks 2021

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Medical Technology and the Social
  • Language: en
  • Pages: 225

Medical Technology and the Social

Medical Technology and the Social: How Medical Technology is Impacting Social relations, Institutions, and Beliefs about what is Normal explores the intersection of society and medical technology to examine how medical technology impacts our day-to-day lives. The contributors examine a variety of technologies and their impact on the social world, from older technologies such as the use of fax machines in hospitals to cutting-edge technologies such as Bluetooth-enabled smart pills. Underlying each chapter is a consideration of what is “normal”, investigating such themes as power and social control, diffusion of technology, eco-crip theory, the changing role of medical expertise, the embodiment of the fetus in utero, the history of prosthetics, and how technology has reformed conceptions of a “normal” body.

Nonlinear Dispersive Equations
  • Language: en
  • Pages: 392

Nonlinear Dispersive Equations

"Starting only with a basic knowledge of graduate real analysis and Fourier analysis, the text first presents basic nonlinear tools such as the bootstrap method and perturbation theory in the simpler context of nonlinear ODE, then introduces the harmonic analysis and geometric tools used to control linear dispersive PDE. These methods are then combined to study four model nonlinear dispersive equations. Through extensive exercises, diagrams, and informal discussion, the book gives a rigorous theoretical treatment of the material, the real-world intuition and heuristics that underlie the subject, as well as mentioning connections with other areas of PDE, harmonic analysis, and dynamical systems.".

Multifractional Stochastic Fields: Wavelet Strategies In Multifractional Frameworks
  • Language: en
  • Pages: 235

Multifractional Stochastic Fields: Wavelet Strategies In Multifractional Frameworks

Fractional Brownian Motion (FBM) is a very classical continuous self-similar Gaussian field with stationary increments. In 1940, some works of Kolmogorov on turbulence led him to introduce this quite natural extension of Brownian Motion, which, in contrast with the latter, has correlated increments. However, the denomination FBM is due to a very famous article by Mandelbrot and Van Ness, published in 1968. Not only in it, but also in several of his following works, Mandelbrot emphasized the importance of FBM as a model in several applied areas, and thus he made it to be known by a wide community. Therefore, FBM has been studied by many authors, and used in a lot of applications.In spite of t...

Quantum and Stochastic Mathematical Physics
  • Language: en
  • Pages: 390

Quantum and Stochastic Mathematical Physics

Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay. Some of them are presented in this Volume that grew out of the Random Transformations and Invariance in Stochastic Dynamics Workshop held in Verona in 2019. To understand the theory of thermo- and fluid-dynamics, statistical mechanics, quantum mechanics and quantum field theory, Albeverio and his collaborators developed stochastic theories having strong interplays with operator theory and functional analysis. His contribution to the theory of (non Gaussian)-SPDEs, the related theory of (pseudo-)differential operators, and ergodic theory had...

Ethnopharmacology in Central and Eastern Europe in the Context of Global Research Developments
  • Language: en
  • Pages: 356

Ethnopharmacology in Central and Eastern Europe in the Context of Global Research Developments

This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact.

Almost Sure Scattering for the One Dimensional Nonlinear Schrödinger Equation
  • Language: en
  • Pages: 102

Almost Sure Scattering for the One Dimensional Nonlinear Schrödinger Equation

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