We prove interlacing inequalities between spectral minimal energies of metric graphs built on Dirichlet and standard Laplacian eigenvalues, as recently introduced in [Kennedy et al, arXiv:2005.01126]. These inequalities, which involve the first Betti number degree one vertices graph, recall both other for eigenvalues whole well estimates difference nodal Neumann domains graph eigenfunctions. To...

We simulate the sintering of particle aggregates due to surface diffusion. As a method we use Kinetic Monte-Carlo simulations in which elasticity can explicitly be taken into account. Therefore it is possible to investigate the shape relaxation of aggregates also under the influence of an external pressure. Without elasticity we investigate the relaxation time and surface evolution of sintering...

Thomas V. Inglesby, MD Tara O’Toole, MD, MPH Donald A. Henderson, MD, MPH John G. Bartlett, MD Michael S. Ascher, MD Edward Eitzen, MD, MPH Arthur M. Friedlander, MD Julie Gerberding, MD, MPH Jerome Hauer, MPH James Hughes, MD Joseph McDade, PhD Michael T. Osterholm, PhD, MPH Gerald Parker, PhD, DVM Trish M. Perl, MD, MSc Philip K. Russell, MD Kevin Tonat, DrPH, MPH for the Working Group on Civ...

In the late 1980s, Friedlander and Parshall studied representations of a family algebras which were obtained as deformations distribution algebra first Frobenius kernel an algebraic group. The representation theory these tells us much about Lie in positive characteristic. We develop analogue this for higher kernels, answering 30 year old question posed by Parshall. also examine their case speci...

Let [Formula: see text] text], be fixed. also text]. We prove on assumption of the Generalized Riemann Hypothesis that each sufficiently large odd integer can represented in form where are for and decimal expansion does not contain digit The proof merges methods Maynard from his paper infinitude primes with restricted digits, results Balog Friedlander Piatetski-Shapiro Hardy–Littlewood circle m...