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Surface Plasmons in Thin Metallic Films for Case Antisymmetrical Configuration of Magnetic Field
degenerate collisional plasma surface plasma oscillations thin metallic film
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2011/1/21
For the first time it is shown that for thin metallic films thickness of which does not exceed thickness of skin – layer, the problem of description of surface plasma oscillations allows analytical so...
Pentagonal Relations and the Exchange Module of the Type $A_n$ Cluster Algebra
Associahedron Cluster Algebra Discrete Homotopy Theory
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2011/1/21
In this paper we study relations between the exchange relations in the cluster algebra of type-An, which has the 1-skeleton of the associahedron as its exchange graph, and the complex of triangulation...
On the functional determinant of a special operator with a zero mode in cosmology
functional determinant special operator
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2011/3/2
The functional determinant of a special second order quantum-mechanical operator is calcu-lated with its zero mode gauged out by the method of the Faddeev-Popov gauge fixing procedure.
Kazhdan-Lusztig basis for generic Specht modules
Hecke algebra Coxeter group Kazhdan-Lusztig bases Specht module
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2011/1/20
In this paper, we let H be the Hecke algebra associated with a finite Coxeter group W and with one-parameter, over the ring of scalars A = Z(q, q−1). With an elementary method, we introduce a ce...
Modeling branching effects on source-sink relationships of the cotton plant
Functional-structural model Parameter optimization Source-sink relationship
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2011/2/21
Compared with classical process-based models,the functional-structural plant models provide more efficient tools to explore the impact of changes in plant structures on plant functioning.
Preliminary Functional-Structural Modeling on Poplar (Salicaceae)
Preliminary Functional-Structural Poplar (Salicaceae)
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2011/2/21
Poplar is one of the best fast-growing trees in the world, widely used for windbreak and wood product.Although architecture of poplar has direct impact on its applications.
Locally Divergent Orbits on Hilbert Modular Spaces and Margulis Conjectures
Locally Divergent Orbits Hilbert Modular Spaces Margulis Conjectures
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2011/3/1
We describe the closures of locally divergent orbits under the action of tori on Hilbert modular spaces of rank r ≥ 2.In particular, we prove that if D is a maximal R-split torus acting on a real Hilb...
Breathing modes of long Josephson junctions with phase-shifts
radiative damping fractional fluxon breathing modes
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2011/3/2
We consider a spatially inhomogeneous sine-Gordon equation with a time-periodic drive, modeling a microwave driven long Josephson junction with phase-shifts.
Geometry of free cyclic submodules over ternions
Geometry of free cyclic submodules ternions
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2011/1/19
Given the algebra T of ternions (upper triangular 2 ×2 matrices)over a commutative field F we consider as set of points of a projective line over T the set of all free cyclic submodules of T2. This se...
Stable degenerations of Cohen-Macaulay modules
degeneration Cohen-Macaulay module finite representation type stable category
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2011/2/24
As a stable analogue of degenerations, we introduce the notion of stable degener-ations for Cohen-Macaulay modules over a Gorenstein local algebra. We shall give several necessary and/or sufficient co...
Modular categories, integrality and Egyptian fractions
Modular categories integrality Egyptian fractions
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2011/1/18
It is a well-known result of Etingof, Nikshych and Ostrik that there are finitely many inequivalent integral modular categories of any fixed rank n.This follows from a double-exponential bound on the ...
Weyl modules, Demazure modules and finite crystals for non-simply laced type
Weyl modules Demazure modules finite crystals non-simply laced type
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2011/2/28
We show that any Weyl module for a current algebra has a filtration such that each successive quotient is isomorphic to some Demazure mod-ule.
Breathing modes of long Josephson junctions with phase-shifts
radiative damping fractional fluxon breathing modes
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2010/12/28
We consider a spatially inhomogeneous sine-Gordon equation with a time-periodic drive, modeling a microwave driven long Josephson junction with phase-shifts. Under appropriate
conditions, Josephson j...
Modular Structures and Landau Levels
Tomita-Takesaki modular structure Landau levels
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2011/1/19
We review some recent results concerning Landau levels and Tomita-Takesaki modular theory. We also extend the general framework behind this to quasi *-algebras, to take into account the possible appea...
Modeling of Phenomena and Dynamic Logic of Phenomena
Modeling of Phenomena Dynamic Logic of Phenomena
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2011/2/28
Modeling of complex phenomena such as the mind presents tremendous computational complexity challenges. Modeling field theory (MFT) addresses these challenges in a non-traditional way. The main idea b...