Large deviations and gradient flows

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Large deviations and gradient flows.

In recent work we uncovered intriguing connections between Otto's characterization of diffusion as an entropic gradient flow on the one hand and large-deviation principles describing the microscopic picture (Brownian motion) on the other. In this paper, we sketch this connection, show how it generalizes to a wider class of systems and comment on consequences and implications. Specifically, we c...

متن کامل

Variational Modelling: Energies, gradient flows, and large deviations

and Michiel Renger for comments on earlier drafts of these notes.

متن کامل

Energies, gradient flows, and large deviations: a modelling point of view

Modelling is the art of taking a real-world situation and constructing some mathematics to describe it. It’s an art rather than a science, because it involves choices that can not be rationally justified. Personal preferences are important, and ‘taste’ plays a major role. Having said that, some choices are more rational than others. And we often also need to explain our choices to ourselves and...

متن کامل

Large deviations for stochastic flows of diffeomorphisms

A large deviation principle is established for a general class of stochastic flows in the small noise limit. This result is then applied to a Bayesian formulation of an image matching problem, and an approximate maximum likelihood property is shown for the solution of an optimization problem involving the large deviations rate function. AMS 2000 subject classification: Primary 60H15, 60F10; sec...

متن کامل

Random Surfaces: Large Deviations Principles and Gradient Gibbs Measure Classifications

We study (discretized) “random surfaces,” which are random functions from Z (or large subsets of Z) to E, where E is Z or R. Their laws are determined by convex, nearest-neighbor, gradient Gibbs potentials that are invariant under translation by a full-rank sublattice L of Z; they include many discrete and continuous height function models (e.g., domino tilings, square ice, the harmonic crystal...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

سال: 2013

ISSN: 1364-503X,1471-2962

DOI: 10.1098/rsta.2012.0341