Functional determinants by contour integration methods
نویسندگان
چکیده
منابع مشابه
Functional determinants by contour integration methods
We present a simple and accessible method which uses contour integration methods to derive formulae for functional determinants. To make the presentation as clear as possible, the general idea is first illustrated on the simplest case: a second order differential operator with Dirichlet boundary conditions. The method is applicable to more general situations, and we discuss the way in which the...
متن کاملAsymptotics of determinants f ram functional integration
The behavior of determinants of Laplace operators on degenerating Riemann surfaces is of particular interest in string theories, where analytic information about the string integrand near the boundary of moduli space is essentially strong enough to determine the integrand uniquely.’ For the case of the hyperbolic metric on surfaces of genus of at least 2, the determinant may be expressed in ter...
متن کاملBayesian contour integration.
The process by which the human visual system parses an image into contours, surfaces, and objects--perceptual grouping--has proven difficult to capture in a rigorous and general theory. A natural candidate for such a theory is Bayesian probability theory, which provides optimal interpretations of data under conditions of uncertainty. But the fit of Bayesian theory to human grouping judgments ha...
متن کاملContext influences contour integration.
Much research over the last decade has examined how the brain links local activity within primary visual cortex to signal the presence of extended global structure. Here we bring together two themes within this area by addressing how the immediate context that features arise in influences how they are integrated into contours. Specifically, observers were required to detect and discriminate the...
متن کاملContour integration with corners
Contour integration refers to the ability of the visual system to bind disjoint local elements into coherent global shapes. In cluttered images containing randomly oriented elements a contour becomes salient when its elements are coaligned with a smooth global trajectory, as described by the Gestalt law of good continuation. Abrupt changes of curvature strongly diminish contour salience. Here w...
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: Annals of Physics
سال: 2003
ISSN: 0003-4916
DOI: 10.1016/s0003-4916(03)00149-0