Geometric and topological inference deals with the retrieval of information about a geometric
object using only a finite set of possibly noisy sample points. It has connections to manifold …

By using the concept of△-convergence introduced by Lim [TC Lim, Remarks on some fixed
point theorems, Proc. Amer. Math. Soc. 60 (1976) 179–182], we are able to give the CAT (0) …

A CAT (0) space is a geodesic space for which each geodesic triangle is at least as 'thin'as
its comparison triangle in the Euclidean plane. A notion of convergence introduced …

Two fixed point theorems for uniformly lipschitzian mappings in metric spaces, due
respectively to E. Lifšic and to T.-C. Lim and H.-K. Xu, are compared within the framework of …

We prove that a metric measure space (X, d, m) satisfying finite-dimensional lower Ricci
curvature bounds and whose Sobolev space W1, 2 is Hilbert is rectifiable. That is, an …

We adapt Forman's discretization of Ricci curvature to the case of undirected networks, both
weighted and unweighted, and investigate the measure in a variety of model and real-world …

Comparing points on 3D shapes is among the fundamental operations in shape analysis. To
facilitate this task, a great number of local point signatures or descriptors have been …

Thanks to the recent concept of quasilinearization of Berg and Nikolaev, we have introduced
the notion of duality and subdifferential on complete CAT (0)(Hadamard) spaces. For a …

We prove that, given an $ RCD^{*}(K, N) $-space $(X, d, m) $, then it is possible to $ m $-
essentially cover $ X $ by measurable subsets $(R_ {i}) _ {i\in\mathbb {N}} $ with the …

We study the nonhomogeneous boundary value problem for the Navier-Stokes equations of
steady motion of a viscous incompressible fluid in arbitrary bounded multiply connected …