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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• EVREN DORUK ENGİN

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• ÖZGE AKBULUT ÇALIŞKAN

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• SEZİN GALİOĞLU ÖZALTUĞ

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• HİLMİ VOLKAN DEMİR

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• BAYRAM DEVİREN

Nonequilibrium magnetic properties in a two-dimensional kinetic mixed spin-2 and spin-5/2 Ising system in the presence of a time-varying (sinusoidal) magnetic field are studied within the effective-field theory (EFT) with correlations. The time evolution of the system is described by using Glauber-type stochastic dyna…

• MEHMET ERTAŞ

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• MEHMET ERTAŞ

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• MEHMET ERTAŞ