Sub-leading asymptotics of ECH capacities

Sub-specialization in plastic surgery in Sub-saharan Africa: capacities, gaps and opportunities

The skill set of a plastic surgeon, which addresses a broad range of soft tissue conditions that are prevalent in sub-Saharan Africa, remains relevant in the unmet need for surgical care. Recently, there has being a major paradigm shift from discipline-based to disease-based care, resulting in an emerging component of patient-centered care; adequate access to subspecialty care in plastic and re...

The Construction of the Ech Homology Theory

Based on the book Foundation of Algebraic Topology by Eilenberg and Steenrod [ES52] the essentials about the construction of ƒech homology theory will be described. 1. Admissible Categories for Homology Theories A pair of shall (X,A) shall mean a set X and a subset A ⊂ X. If A = ∅ is the empty set, then by abuse of notation shall the pair (X, ∅) be abbreviated by X. Usually X will be equipped w...

Sub-Gaussian short time asymptotics for measure metric Dirichlet spaces

This paper presents estimates for the distribution of the exit time from balls and short time asymptotics for measure metric Dirichlet spaces. The estimates cover the classical Gaussian case, the subdiffusive case which can be observed on particular fractals and further less regular cases as well. The proof is based on a new chaining argument and it is free of volume growth assumptions. MSC2000...

A resummation of large sub-leading corrections at small x

The NLL corrections to the BFKL kernel are known to be very large, to the extent that even for small values of αs, they lead to physical cross sections which are not positive definite. It is shown in the context of a toy model, that such pathological behaviour is an artifact of the truncation at NLL order, and is associated in particular with double transverse logarithms. These are resummed in ...

Metastability in Reversible Diffusion Processes I. Sharp Asymptotics for Capacities and Exit Times