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The Aubry-Mather theorem for driven generalized elastic chains
Sini？a Slijep？evi？
Mathematics , 2013,
Abstract: We consider uniformly (DC) or periodically (AC) driven generalized infinite elastic chains (a generalized Frenkel-Kontorova model) with gradient dynamics. We first show that the union of supports of all the invariant measures, denoted by A, projects injectively to a dynamical system on a 2-dimensional cylinder. We also prove existence of ergodic invariant measures supported on a set of rotationaly ordered configurations with an arbitrary (rational or irrational) rotation number. This shows that the Aubry-Mather structure of ground states persists if an arbitrary AC or DC force is applied. The set A attracts almost surely (in probability) configurations with bounded spacing. In the DC case, the set A consists entirely of equilibria and uniformly sliding solutions. The key tool is a new weak Lyapunov function on the space of translationally invariant probability measures on the state space, which counts intersections.
Book review: Visions of Empire. How Five Imperial Regimes Shaped the World
Sini？a Male？evi？
- , 2018, DOI: 10.1177/0725513618787701
Abstract:
On the Usage of the Lexemes Fathership, Fatherhood, Cousinship and Cousinhood
Nin？evi？, Sini？a
- , 2012, DOI: 10.7225/toms.v01.n02.009
Abstract: Sa？etak This paper concerns the semantic relation between the lexemes ？fathership“ and ？fatherhood“, ？cousinship“ and ？cousinhood“ in terms of their lexical properties and usage, i.e., the type of predicate the nominal base belongs to. As each of these juxtaposed pairs has the same nominal base (？father“ and ？cousin“), which can attach to both -ship and -hood suffixes, it is the selection of the particular suffix that can determine not only the type of predicate of the nominal base – considering the temporal spectrum in which a predicate can occur - but also the specific semantic information these lexemes can convey
O na？im primorskim geografskim imenima
Vuki？evi？, Sini？a
- , 1964,
Abstract: Hr？ak ID: 22620
？ovjekovo upoznavanje mora
Vuki？evi？, Sini？a
- , 1970,
Abstract: Hr？ak ID: 21102
Brodovi na zra？nom jastuku
Vuki？evi？, Sini？a
- , 1965,
Abstract: Hr？ak ID: 21139
Me？unarodna standardizacija geografskih imena
Vuki？evi？, Sini？a
- , 1972,
Abstract: Hr？ak ID: 21093
Navigacija u hidrogradnji i oceanografiji
Vuki？evi？, Sini？a
- , 1970,
Abstract: Hr？ak ID: 21111
Me？unarodna oceanska suradnja
Vuki？evi？, Sini？a
- , 1971,
Abstract: Hr？ak ID: 21098
Nastanak oceanografskih instituta
Vuki？evi？, Sini？a
- , 1971,
Abstract: Hr？ak ID: 21099
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