Chasing balls through martingale fields
نویسندگان
چکیده
منابع مشابه
Chasing Ebola through the Endosomal Labyrinth.
During virus entry, the surface glycoprotein of Ebola virus (EBOV) undergoes a complex set of transformations within the endosomal network. Tools to study EBOV entry have been limited to static immunofluorescence or biochemical and functional analysis. In a recent article inmBio, Spence et al. reported a novel, live-cell-imaging method that tracks this transformational journey of EBOV in real t...
متن کاملPattern production through a chiral chasing mechanism.
Recent experiments on zebrafish pigmentation suggests that their typical black and white striped skin pattern is made up of a number of interacting chromatophore families. Specifically, two of these cell families have been shown to interact through a nonlocal chasing mechanism, which has previously been modeled using integro-differential equations. We extend this framework to include the experi...
متن کاملProbability Theory-related Fields Multiparameter Martingale Differential Forms
A substantial body of results on stochastic integration with respect to multiparameter martingales now exists. Yet, as it stands, the theory is not entirely satisfactory in a number of ways. In particular, the calculus for stochastic integration, already complicated in two dimension, becomes prohibitively so in higher dimensions. In retrospect, the source of the difficulty seems to be that inte...
متن کاملMartingale–Coboundary Representation for a Class of Random Fields
Martingale approximation is one of methods of proving limit theorems for stationary random sequences. The method, in its simplest version, consists of representing the original random sequence as the sum of a martingale difference sequence and a coboundary sequence. In this introduction we give a brief sketch of this approach. The aim of the present paper is to extend the martingale approximati...
متن کاملSelf-similar Random Fields and Rescaled Random Balls Models
We study generalized random fields which arise as rescaling limits of spatial configurations of uniformly scattered random balls as the mean radius of the balls tends to 0 or infinity. Assuming that the radius distribution has a power law behavior, we prove that the centered and re-normalized random balls field admits a limit with spatial dependence and self-similarity properties. In particular...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2002
ISSN: 0091-1798
DOI: 10.1214/aop/1039548381