Hasan Akin

Prof. Dr. Hasan Akin

Mathematics, The Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Friuli-Venezia Giulia, Italy
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Research Focus & Metrics

Academic Career Length

24Years (2003-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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16 December 2010 in Journal of Statistical Physics
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Hasan AkinHasan Akin
Hasan Akin
URU. A. Rozikov
U. A. Rozikov
STS. Temir
S. Temir

1 July 2013 in Journal of Statistical Mechanics: Theory and Experiment
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FMFarrukh Mukhamedov
Farrukh Mukhamedov
Hasan AkinHasan Akin
Hasan Akin
In the present paper, we study a phase transition problem for the q-state p-adic Potts model over the Cayley tree of order three. We consider a more general notion of p-adic Gibbs measure which depends on parameter ρ∈Qp. Such a measure is called generalized p-adic quasi Gibbs measure. When ρ equals the p-adic exponent, then it coincides with the p-adic Gibbs measure. When ρ = p, then it coincides with the p-adic quasi Gibbs measure. Therefore, we investigate two regimes with respect to the value of |ρ|p. Namely, in the first regime, one takes ρ = expp(J) for some J∈Qp, in the second one |ρ|p < 1. In each regime, we first find conditions for the existence of generalized p-adic quasi Gibbs measures. Furthermore, in the first regime, we establish the existence of the phase transition under some conditions. In the second regime, when |ρ|p,|q|p ≤ p−2 we prove the existence of a quasi phase transition. It turns out that if and , then one finds the existence of the strong phase transition.

12 November 2009 in Journal of Statistical Physics
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NGNasir Ganikhodjaev
Nasir Ganikhodjaev
STS. Temir
S. Temir
Hasan AkinHasan Akin
Hasan Akin

1 December 2011 in Computers & Mathematics with Applications
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Journal Article
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ISIrfan Siap
Irfan Siap
Hasan AkinHasan Akin
Hasan Akin
SUSelman Uğuz
Selman Uğuz

1 October 2005 in Journal of Mathematical Analysis and Applications
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Journal Article
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FMFarrukh Mukhamedov
Farrukh Mukhamedov
Hasan AkinHasan Akin
Hasan Akin
STSeyit Temir
Seyit Temir

1 July 2006 in Linear Algebra and its Applications
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Journal Article
Closed access
NGNasir Ganikhodjaev
Nasir Ganikhodjaev
Hasan AkinHasan Akin
Hasan Akin
FMFarrukh Mukhamedov
Farrukh Mukhamedov