Stochastic Parallel Transport along Lévy Flows of Diffeomorphisms
نویسندگان
چکیده
منابع مشابه
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 کاملDiffeomorphisms and Nonlinear Heat Flows
We show that the gradient flow u on L2 generated by the energy functional I[u] := ∫ U Φ(detDu) dx for vector-valued mappings is in some sense “integrable”, meaning that (i) the inverse Jacobian β := (detDu)−1 satisfies a scalar nonlinear diffusion equation, and (ii) we can recover u by solving an ODE determined by β.
متن کاملFlows of diffeomorphisms for multimodal image registration
We present a theoretical and computational framework for nonrigid multimodal registration. We proceed by maximization of statistical similarity criteria (global and local) in a variational framework, and use the corresponding gradients to drive a flow of diffeomorphisms allowing large deformations. This flow is introduced through a new template propagation method, by composition of small displa...
متن کاملStochastic Bounds for Lévy Processes
Using the Wiener–Hopf factorization, it is shown that it is possible to bound the path of an arbitrary Lévy process above and below by the paths of two random walks. These walks have the same step distribution, but different random starting points. In principle, this allows one to deduce Lévy process versions of many known results about the large-time behavior of random walks. This is illustrat...
متن کاملSymmetric Attractors for Diffeomorphisms and Flows
Let F c O(/i) be a finite group acting on R. In this work we describe the possible symmetry groups that can occur for attractors of smooth (invertible) f-equivariant dynamical systems. In case U" contains no reflection planes and n ^ 3, our results imply that there are no restrictions on symmetry groups. In case n 3=4 (diffeomorphisms) and n 2=5 (flows), we show that we may construct attractors...
متن کاملذخیره 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: Journal of Mathematical Analysis and Applications
سال: 1997
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5297