In this paper Semi-Markov models are used to forecast the triple dimensions of next earthquake occurrences. Each earthquake can be investigated in three dimensions including temporal, spatial and magnitude. Semi-Markov models can be used for earthquake forecasting in each arbitrary area and each area can be divided into several zones. In Semi-Markov models each zone can be considered as a sta...

We consider the problem of sampling a proper k-coloring of a graph of maximal degree ∆ uniformly at random. We describe a new Markov chain for sampling colorings, and show that it mixes rapidly on graphs of logarithmically bounded pathwidth if k ≥ (1+ )∆, for any > 0, using a new hybrid paths argument. ∗California Institute of Technology, Pasadena, CA, 91125, USA. E-mail: [email protected].

We present a population density and moment-based description of the stochastic dynamics of domain Ca-mediated inactivation of L-type Ca channels. Our approach accounts for the effect of heterogeneity of local Ca signals on whole cell Ca currents; however, in contrast with prior work, e.g., Sherman et al. (1990), we do not assume that Ca domain formation and collapse are fast compared to channel...

We consider a complex system composed of many non-identical parts where (i) the dynamics of each part are Ornstein–Uhlenbeck; (ii) all parts are driven by a common external Lévy noise; and (iii) the system’s collective output is the averaged aggregate of the outputs of its parts. Whereas the dynamics on the ‘microscopic’ parts-level are Markov, the dynamics on the ‘macroscopic’ system-level are...

در این تحقیق به مقایسه تحلیلی و عددی آبشار جریان برگشتی مدل R با آبشارهای Q QI سیستم‌­های چندجزیی پایدار پرداخته می‌­شود. راستا برای اولین بار کدهای جهت طراحی منظور کد نرم‌افزار متلب نوشته شده‌­اند. نتایج نشان می‌­دهد که دو جزء 1k 2k از خوراک Nc جزء، تعداد معدودی قابل تعریف است همگی حالات خاصی می­‌باشد. هم‌­چنین یافته‌­ها مجموع مقدار برش جزیی همیشه برابر یک است. طریق داده می‌­شود صورتی میانگین ...

Objective. The aim of the study is to develop a mathematical model for assessing stability functioning an informatization object (IO) in conditions computer attacks (CA), assuming that laws distribution random variables before enemy's impact and recovery time are distributed exponentially. Method. Application method discrete Markov processes solve problem IO, which differs from known approaches...