The calculation of the collapse load spherical domes is addressed using a semianalytical approach under hypothesis small displacements and perfect plasticity. procedure based on numerical approximation self-stress that represents projection balance equilibrium null space finite dimensional manifold. so-obtained self-equilibrated stress span superimposed onto finite-element linear elastic soluti...

We develop a general framework for the probabilistic analysis of random finite point clouds in context topological data analysis. extend notion barcode cloud to compact metric spaces. Such lives completion space barcodes with respect bottleneck distance, which is quite natural from an analytic view. As application we prove that i.i.d. variables sampled converge support their distribution when n...

The ensemble Kalman sampler (EKS) is a method introduced in [Garbuno-Inigo et al., SIAM J. Appl. Dyn. Syst., 19 (2020), pp. 412--441] to find approximately independent and identically distributed samples from target distribution. As of today, why the algorithm works how it converges mostly unknown. continuous version set coupled stochastic differential equations (SDEs). In this paper, we prove ...