Stochastic modeling of earthquake occurrences and estimation of seismic hazard: random field approach

Stochastic modeling of earthquake occurrences and estimation of seismic hazard: a random field approach Akkaya, Ayşen; Yücemen, Mehmet Semih (2002-01-01) A random field model is developed to describe the occurrence of earthquakes in the space-time domain. The general theory of stationary random functions is utilized to assess the seismic hazard associated with linearly extending faults. The spatial and temporal correlation characteristics of the strain energy random field are taken into consideration explicitly and particular emphasis is given to the analysis of the correlation structure based on the concepts of scale of fluctuation and variance function. An...
Modular Chaos for Random Processes Akhmet, Marat (2022-1-01) In the present paper, an essential generalization of the symbolic dynamics is considered. We apply the notions of abstract self-similar sets and the similarity map for a chaos introduction, which orbits are expanded among infinitely many modules. The dynamics is free of dimensional, metrical and topological assumptions. It unites all the three types of Poincar´e, Li-Yorke and Devaney chaos in a single model, which can be unbounded. The research demonstrates that the dynamics of Poincar´e chaos is of excepti...
Assessment of the extreme value distributions for single and combined random processes Khansari, Ahmad C; Yücemen, Mehmet Semih; Department of Statistics (1995)
Stochastic simulations of biological networks under impulses Yazıcı, Müge; Purutçuoğlu Gazi, Vilda; Department of Statistics (2016) The impulses are one of the sources of fluctuations which lead to the sharp changes in the biochemical systems such as the changes in epidemic and population models. In this study, as the novelty, we implement these effects in exact stochastic simulation algorithms, namely, the Gillespie method and the first reaction method, by changing the chemical master equations (CME) with impulses. Hereby in the extension of these approaches with impulses, we consider different scenarios such as the sudden decrease of ...
Estimation of earthquake hazard based on extremes of local integral random functions Akkaya, Ayşen; Yücemen, Mehmet Semih (2000-09-01) A random field model is developed for the occurrence of earthquakes in the space-time domain based on the theory of random functions. The seismic hazard posed by earthquakes is estimated by applying the level crossing theory to local integral random functions. Analysis of the correlation structure of the strain energy random field associated with the proposed model is described by utilizing the concepts of variance function and scale of fluctuation. The earthquake occurrence rates obtained in the study diff...

Citation Formats

A. Akkaya (Dener), “Stochastic modeling of earthquake occurrences and estimation of seismic hazard: random field approach,” Ph.D. - Doctoral Program, Middle East Technical University, 1995.