Random Matrices and Applications

The elaborate selection of capping ligands is of great importance in the synthesis of atomically precise metal nanoclusters. Organic thiolates, alkynyls, phosphines, and/or their combinations are the ligands most widely utilized to protect metal nanoclusters, while inorganic oxo anions have been almost neglected in th…

• FAHRİ ALKAN

Let , be a sequence ofmtimes;mnonnegative matrices and let be such that A(1) is an irreducible stochastic matrix. The unique power-bounded solution of the nonlinear matrix equation has been shown to play a key role in the analysis of Markov chains of M/G/l type. Assuming that the matrix A(z) is rational, we show that…

The information-theoretic capacity of continuous-time queues was analyzed recently by Anantharam and Verdu (see ibid. vol.42, p.4-18, 1996). Along similar lines, we analyze the information-theoretic capacity of two models of discrete-time queues. The first model has single packet arrivals and departures in a time slot…

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• ERHAN ALBAYRAK

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• ÜLVİYE HACIZADE

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• CENGİZ HACIZADE

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• ERHAN ALBAYRAK

We present a novel numerical method that exploits invariant subspace computations for finding the stationary probability distribution of a finite QBD process. Assuming that the QBD state space is defined in two dimensions with m phases and K+1 levels, the solution vector π k for level, is known to be expressible in th…

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• ERKAY SAVAŞ

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• UĞUR TIRNAKLI

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• ALİ DEVİN SEZER

Perturbation methods are mathematical techniques used to add controlled noise or randomness to data to protect privacy while allowing data analysis. Various methods, such as randomized response, differential privacy, secure multi-party computation, noise addition, and sampling and aggregation, are used to protect sens…

• SAFİYE TURĞAY