It is shown that curvature-dimension bounds CD(N,K) for a metric measure space (X, d,m) in the sense of Sturm imply a weak LPoincaré-inequality provided (X, d) has m-almost surely no branching points.

We present a proof of the Sturm-Hurwitz theorem, using basic calculus. Let f : R → R be a continuous 2π-periodic function, and let us assume that its Fourier series is given by (1) f(x) ∼ ∞

We describe algorithms for multi{image structure from motion from tracked point features. The algorithms are essentially linear, work for any motion of moderate size, and give accuracies similar to those of a maximum{likelihood estimate. They are as fast as the Sturm/Triggs approach and give better results. We show experimentally that the Sturm/Triggs approach often fails for linear camera moti...

This paper studies the possibilities of the Linear Matrix Inequality (LMI) characterization of the matrix cones formed by nonnegative complex Hermitian quadratic functions over specific domains in the complex space. In its real case analog, such studies were conducted in Sturm and Zhang [11]. In this paper it is shown that stronger results can be obtained for the complex Hermitian case. In part...

Geodesics on the infinite dimensional symmetric space H of Kähler metrics in a fixed Kähler class on a projective Kähler manifold X are solutions of a homogeneous complex Monge-Ampère equation in X×A, where A ⊂ C is an annulus. They are analogues of 1PS (one-parameter subgroups) on symmetric spaces GC/G. Donaldson, Arezzo-Tian and Phong-Sturm raised the question whether Monge-Ampère geodesics c...

The inverse nodal problem was initiated by McLaughlin [1], who proved that the Sturm-Liouville problem is uniquely determined by any dense subset of the nodal points. Some numerical schemes were given by Hald and McLaughlin [2] for the reconstruction of the potential. Recently Law, Yang and other authors have reconstructed the potential function and its derivatives of the Sturm-Liouville proble...

Oscillation and nonoscillation properties of second order Sturm–Liouville dynamic equations on time scales attracted much interest. These equations include, as special cases, second order self-adjoint differential equations as well as second order Sturm–Liouville difference equations. In this paper we consider a given (homogeneous) equation and a corresponding equation with forcing term. We giv...

J. Brunner, Dr. E. Sturm (née Rosseeva), Prof. H. Cölfen Physical Chemistry University of Konstanz Universitätsstraße 10, Box 714 78457 Konstanz, Germany E-mail: [email protected]; [email protected] Dr. I. A. Baburin Theoretical Chemistry TU Dresden Bergstrasse 66b, D-01062 Dresden, Germany S. Sturm Institute of Structure Physics Triebenberg Laboratory for High-Resolution...

Solving inverse scattering problem for a discrete Sturm–Liouville operator with a rapidly decreasing potential one gets reflection coefficients s± and invertible operators I +Hs± , where Hs± is the Hankel operator related to the symbol s±. The Marchenko– Faddeev theorem (in the continuous case) [6] and the Guseinov theorem (in the discrete case) [4], guarantees the uniqueness of solution of the...