Stochastic processes and statistical mechanics

Community structure plays a significant role in the analysis of social networks and similar graphs, yet this structure is little understood and not well captured by most models. We formally define a community to be a subgraph that is internally highly connected and has no deeper substructure. We use tools of combinato…

In this paper we are concerned with numerical methods to solve stochastic differential equations (SDEs), namely the Euler-Maruyama (EM) and Milstein methods. These methods are based on the truncated Ito-Taylor expansion. In our study we deal with a nonlinear SDE. We approximate to numerical solution using Monte Carlo…

• GÜLŞEN ORUCOVA BÜYÜKÖZ
• MUSTAFA BAYRAM
• TUĞÇEM PARTAL

Importance sampling is the most commonly used technique for speeding up Monte Carlo simulation of rare events. However, little is understood in the design of efficient importance sampling algorithms in the context of queueing networks. The standard approach, which simulates the system using an a priori fixed change of…

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• SEZİN GALİOĞLU ÖZALTUĞ

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• GÖKHAN YILDIRIM

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• HİLMİ VOLKAN DEMİR

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• BAYRAM DEVİREN

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• HASAN AKIN

In this paper, we extend the paper of Kaneyoshi (2010 J. Magn. Magn. Mater. 322 3410–5) to investigate the dynamic magnetizations and dynamic phase transitions of a transverse cylindrical Ising nanowire system by using the effective field theory with correlations and the Glauber-type stochastic dynamics under a time-d…

• BAYRAM DEVİREN

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In this manuscript, we consider the Bernoulli sub-equation function method for obtaining new exponential prototype structures to the Cahn–Allen mathematical model. We obtained new results using this technique. We plotted two- and three-dimensional surfaces of the results using Wolfram Mathematica 9. At the end of this…

In this manuscript, we consider the Bernoulli sub-equation function method for obtaining new exponential prototype structures to the Cahn–Allen mathematical model. We obtained new results using this technique. We plotted two- and three-dimensional surfaces of the results using Wolfram Mathematica 9. At the end of this…

• SİBEL ŞEHRİBAN ATAŞ