Markov chain Monte Carlo methods explicitly defined on the manifold of probability distributions have recently been established. These methods are constructed from diffusions across the manifold and the solution of the equations describing geodesic flows in the Hamilton-Jacobi representation. This paper takes the differential geometric basis of Markov chain Monte Carlo further by considering me...

It is well known that the strong error approximation, in the space of continuous paths equipped with the supremum norm, between a diffusion process, with smooth coefficients, and its Euler approximation with step $1/n$ is $O(nˆ{-1/2})$ and that the weak error estimation between the marginal laws, at the terminal time $T$, is $O(nˆ{-1})$. In this talk, we study the $p-$Wasserstein distance betwe...

A new 16-membered macrolide named makinolide B (1) was isolated from Streptomyces sp. MK-19. The structure of makinolide B (1) was determined on the basis of 2D NMR experiments involving DQF-COSY, TOCSY, HSQC, and HMBC methods. Application of the paper disk diffusion method to makinolide B (1) showed weak antibacterial activity against Staphylococcus aureus at the dose of 100 µg/disk.

In recent years, there has been a growing interest on non-localmodels because of their relevance in many practical applications. Awidely studied class non-local models involves fractional orderoperators. They usually describe anomalous diffusion. Inparticular, these equations provide more faithful representationof the long-memory and nonlocal dependence diffusion fractaland porous media, heat f...

  Background and Objective: Reliable methods of detection of antimicrobial resistance are of paramount importance in the treatment and management of infections caused by coagulase negative staphylococci (CoNS). The objective of the present study was to compare and evaluate the performance of disc diffusion and E test (Epsilometer test) methods for antimicrobial testing of coagulase ne...