Phenomenology of stochastic exponential growth
نویسندگان
چکیده
منابع مشابه
Phenomenology of stochastic exponential growth.
Stochastic exponential growth is observed in a variety of contexts, including molecular autocatalysis, nuclear fission, population growth, inflation of the universe, viral social media posts, and financial markets. Yet literature on modeling the phenomenology of these stochastic dynamics has predominantly focused on one model, geometric Brownian motion (GBM), which can be described as the solut...
متن کاملUniversality in stochastic exponential growth.
Recent imaging data for single bacterial cells reveal that their mean sizes grow exponentially in time and that their size distributions collapse to a single curve when rescaled by their means. An analogous result holds for the division-time distributions. A model is needed to delineate the minimal requirements for these scaling behaviors. We formulate a microscopic theory of stochastic exponen...
متن کاملNon - Exponential Stochastic Petri Nets :
The aim of this tutorial is to present recent research work in the area of non-Markovian stochas-tic Petri nets with particular emphasis on the se-mantical implication of these models, their speci-cation and the related solution techniques.
متن کاملPricing of Futures Contracts by Considering Stochastic Exponential Jump Domain of Spot Price
Derivatives are alternative financial instruments which extend traders opportunities to achieve some financial goals. They are risk management instruments that are related to a data in the future, and also they react to uncertain prices. Study on pricing futures can provide useful tools to understand the stochastic behavior of prices to manage the risk of price volatility. Thus, this study eval...
متن کاملPhenomenology of turbulent dynamo growth and saturation
With a non local shell model of magnetohydrodynamic turbulence we investigate numerically the turbulent dynamo action for low and high magnetic Prandtl numbers (Pm). The results obtained in the kinematic regime and along the way to dynamo saturation are understood in terms of a phenomenological approach based on the local (Pm ≪ 1) or non local (Pm ≫ 1) nature of the energy transfers. In both ca...
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: Physical Review E
سال: 2017
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.95.062406