Loreen Zegenhagen1,2*, Chaitanya Kurhade3, Andrea Kröger1,2 and Anna K Överby3 1Institute of Medical Microbiology, Otto-von-Guericke-University Magdeburg, Magdeburg, Germany 2Innate Immunity and Infection, Helmholtz Centre for Infection Research, Braunschweig, Germany 3Department of Clinical Microbiology, Virology, Umeå University, Umeå, Sweden *Corresponding author: Loreen Zegenhagen, Institut...

In this article we consider a lattice system of unbounded continuous spins. Otto and Reznikoff used the two-scale approach to show that exponential decay of correlations yields a logarithmic Sobolev inequality (LSI) with uniform constant in the system size. We improve their statement by weakening the assumptions, for which a more detailed analysis based on two new ingredients is needed. The two...

To the memory of William Ronald Sendall Sternaspid polychaetes are common and often abundant in soft bottoms in the world oceans. Some authors suggest that only one species should be recognized, whereas others regard a few species as widely distributed in many seas and variable depths from the low intertidal to about 4400 m. There are some problems with species delineation and the distinctive v...