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The structure of invariant tori in a 3D galactic potential
Chaos and Dynamical Systems Galactic Dynamics 4D surfaces of section
2010/12/16
We study in detail the structure of phase space in the neighborhood of stable periodic orbits in a rotating 3D potential of galactic type.We have used the color and rotation method to investigate the ...
The algebraic structure of the universal complicial sets
complicial set oriental omega-categor
2010/12/8
The nerve of a strict omega-category is a simplicial set with ad-ditional structure, making it into a so-called complicial set, and strict omega-categories are in fact equivalent to complicial sets. T...
Abelian subalgebras and the Jordan structure of a von Neumann algebra
von Neumann algebra Jordan structure abelian subalgebra orthomodular lattice
2010/12/13
For von Neumann algebrasM,N without type I2 summands, we show that for an orderisomorphism
f : AbSub M → AbSub N between the posets of abelian von Neumann-subalgebras of M and N, there is a unique Jo...
On the blow-up structure for the generalized periodic Camassa-Holm and Degasperis-Procesi equations
The Camassa-Holmequation The Degasperis-Procesi equa-tion The Hunter-Saxton equation
2010/12/6
Considered herein are the generalized Camassa-Holm and Degasperis-Procesi equations in the spatially periodic setting. The pre-cise blow-up scenarios of strong solutions are derived for both of equa-t...
The Lattice and Simplex Structure of States on Pseudo Effect Algebras
Pseudo effect algebra effect algebra Riesz Decomposition Properties
2010/11/30
We study states, measures, and signed measures on pseudo effect algebras with some kind of the Riesz Decomposition Property, (RDP). We show that the set of all Jordan signed measures is always an Abel...
Local Structure of Moduli Spaces
boundedness connections differential operators good quotients
2010/12/3
We provide a sketch of the GIT construction of the moduli spaces for the three classes of connections: the class of meromorphic connections with fixed divisor of poles D and its subclasses of integrab...
The persistent cosmic web and its filamentary structure I: Theory and implementation
Cosmology simulations statistics observations Galaxies formation
2010/12/16
We present DisPerSE, a novel approach to the coherent multi-scale identification of all types of astrophysical structures, and in particular the filaments, in the large scale distribution of matter in...
On a Local Structure in Kaplansky Algebras. Definitions and Basic Properties
Haussdorf projective limits C-algebras AW-algebras
2011/2/25
We introduce and study locally AW-algebras (Baer locally C-algebras) as a locally multiplicatively convex generalization of AW-algebras of Kaplansky. Among other basic properties of these algebras.
The Algebraic Structure of Amounts: Evidence from Comparatives
Comparatives weak islands degrees
2015/6/11
Heim [9] notes certain restrictions on quantifier intervention
in comparatives and proposes an LF-constraint to account for this. I
show that these restrictions are identical to constraints on...
Characterizing mixed mode oscillations shaped by noise and bifurcation structure
mixed mode oscillations underlying dynamical structure extrinsic noise
2010/4/2
Many neuronal systems and models display a certain class of mixed mode oscillations (MMOs) consisting of periods of small amplitude oscillations interspersed with spikes. Various models with different...
The structure of a solvmanifold's Heegaard
solvmanifold's Heegaard boundaries handlebodies glued
2010/3/3
The structure of a solvmanifold's Heegaard。
Subordination Theorem for a Family of Analytic Functions Associated With the Convolution Structure
Analytic function Hadamard product(or convolution) Dziok-Srivastava linear operator Subordination factor sequence Characterization properties
2010/1/22
We use the familiar convolution structure of analytic functions to introduce new class of analytic functions of complex order. The results investigated in the present paper include, the characterizati...
Renormalization group structure for sums of variables generated by incipiently chaotic maps
Renormalization group chaotic maps
2010/4/7
We look at the limit distributions of sums of deterministic chaotic variables in unimodal maps and find a remarkable renormalization group (RG) structure associated to the operation of increment of su...
On the Lagrangian structure of integrable quad-equations
integrable quad-equations flip invariance
2010/4/6
The new idea of flip invariance of action functionals in multidimensional lattices was recently highlighted as a key feature of discrete integrable systems. Flip invariance was proved for several part...
Analytical Determination of Fractal Structure in Stochastic Time Series
Fractal Structure Stochastic Time Series
2010/4/8
Current methods for determining whether a time series exhibits fractal structure (FS) rely on subjective assessments on estimators of the Hurst exponent (H). Here, I introduce the Bayesian Assessment ...