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ESSENTIAL DIMENSION OF ABELIAN VARIETIES OVER NUMBER FIELDS
ESSENTIAL DIMENSION OVER NUMBER FIELDS
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2015/9/29
We affirmatively answer a conjecture in the preprint “Essential
dimension and algebraic stacks,” proving that the essential dimension of an
abelian variety over a number field is inʂ...
Note on the Number of Steady States for a 2D Smoluchowski Equation
the Number Steady States 2D Smoluchowski Equation
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2014/4/4
Dynamics of concentrated polymer solutions are modeled by a Smoluchowski equation. At high concentrations, such solutions form liquid crystalline polymers of nematic structure. We prove that at high i...
Discrete-Time Chaotic-Map Truly Random Number Generators: Design, Implementation, and Variability Analysis of the Zigzag Map
Truly Random Number Generator Current-Mode Circuits Switched-Current Technique Variability
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2012/6/21
In this paper, we introduce a novel discrete chaotic map named zigzag map that demonstrates excellent chaotic behaviors and can be utilized in Truly Random Number Generators (TRNGs). We comprehensivel...
Dense properties of the space of the circle diffeomorphisms with a Liouville rotation number
circle diffeomorphism rotation number Liouville number conjugacy invariant measure fast approximation by conjugation
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2011/9/23
Abstract: Given any Liouville number $\alpha$, it is shown that various subspaces are $C^\infty$-dense in the space of the orientation preserving $C^\infty$ diffeomorphisms of the circle with rotation...
Scaling in large Prandtl number turbulent thermal convection
Scaling Prandtl number thermal convection
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2011/7/5
We study the scaling properties of heat transfer Nu in turbulent thermal convection at large
Prandtl number Pr using a quasi-linear theory. We show that two regimes arise, depending on the
Reynolds ...
Reynolds number dependence of kinetic helicity decay in linearly forced turbulence
Reynolds number dependence linearly forced turbulence
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2010/12/28
The decay of kinetic helicity is studied in numerical models of forced turbulence using either an externally imposed forcing function as an inhomogeneous term in the equations or, lternatively, a term...
On the number of Mordell-Weil generators for cubic surfaces
cubic surfaces rational points Mordell-Weil problem Brauer-Manin
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2011/1/19
Let S be a smooth cubic surface over a field K. It is well-known that new K-rational points maybe obtained from old ones by chord and tangent constructions.
Logarithmic Bounds for Infinite Prandtl Number Rotating Convection
Logarithmic Bounds Infinite Prandtl Number Rotating Convection
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2014/4/4
Convection refers to uid motion that is induced by buoyancy. In ther-mal convection buoyancy is due to temperature di erences and one of the interesting questions is how much of the total heat transfe...