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Horizontal visibility graphs transformed from fractional Brownian motions: Topological properties versus Hurst index
Horizontal visibility graphs transformed fractional Brownian motions Topological properties versus Hurst index
2010/12/28
Nonlinear time series analysis aims at understanding the dynamics of stochastic or chaotic processes.In recent years, quite a few methods have been proposed to transform a single time series to a comp...
Topological term in the non-linear $\sigma$ model of the SO(5) spin chains
Non-linear sigma model topological terms spin chains
2010/12/16
We show that there is a topological (Berry phase) term in the non-linear model description of the SO(5) spin chain. It distinguishes the linear and projective repre-sentations of the SO(5) symmetry ...
Topological toric manifolds
toric manifold fan multi-fan quasitoric manifold torus manifold
2011/1/19
We introduce the notion of a topological toric manifold and a topo-logical fan and show that there is a bijection between omnioriented topological toric manifolds and complete non-singular topological...
Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory
Surface operators 3d Topological Field Theory 2d Rational Conformal Field Theory
2011/3/2
We study surface operators in 3d Topological Field Theory and their relations with 2d Rational Conformal Field Theory.
Topological stability criteria for synchronized coupled systems of non-identical oscillators
Topological stability criteria synchronized coupled systems of non-identical oscillators
2010/12/28
Individual dynamical units that are coupled via an interaction network can synchronize spontaneously without central regulation. The propensity to synchronize depends on structural properties of the i...
Exotic smooth structures on topological fibre bundles
Exotic smooth structures topological fibre bundles
2010/11/24
We use a variation of Hatcher's construction to construct virtually all stable exotic smooth structures on compact smooth manifold bundles whose fibers have sufficiently large odd dimension (at least...
Topological classification of zero-dimensional $M_\omega$-groups
Topological classification zero-dimensional
2010/11/23
A topological group $G$ is called an $M_\omega$-group if it admits a countable cover $\K$ by closed metrizable subspaces of $G$ such that a subset $U$ of $G$ is open in $G$ if and only if $U\cap K$ i...
On the length of chains of proper subgroups covering a topological group
On the length of chains topological group
2010/11/9
We prove that if an ultrafilter L is not coherent to a Q-point, then each analytic non-sigma-bounded topological group G admits an increasing chain of its proper subgroups such that: ...
Convexity of Momentum Maps: A Topological Analysis
Convexity of Momentum Maps Topological Analysis
2010/11/15
We extend the Local-to-Global-Principle used in the proof of convexity theorems for momentum maps to not necessarily closed maps $f\colon X\ra Y$ whose target space $Y$ carries a convexity structure ...
On evaluation of the topological degree of the Poincare map in some singular situations
the topological the Poincare map singular situations
2010/11/11
In the paper we develop a method to evaluate the topological degree of the Poincare map of the mathematical model of narrow lagoon subject to a T-periodic forcing. Using the method developved we arriv...
Topological properties of regular generalized function algebras
Topological properties regular generalized function algebras
2010/11/15
We investigate density of various subalgebras of regular generalized functions in the special Colombeau algebra of generalized functions
Topological transitive Abelian subgrouns of GL(n,R)
Topological Abelian subgrouns of GL(n,R)
2010/11/8
We give a complete characterization of abelian subgroups of GL(n, R) with a locally dense (resp. dense) orbit in R^n. For finitely generated subgroups, this characterization is explicit and it is used...
Invitation to Topological Conformal Field Theories
Topological Conformal Field Theories math
2010/11/18
Topological conformal field theories are defined using only basic results from the theory of quasiconformal mappings.
A new topological construction of infinite families of toric manifolds implying fan reduction
topological construction toric manifolds
2010/11/8
An infinite family of toric manifolds is constructed from a given one $M^{2n}$, using only the original characteristic function (or fan) data. This is done in a way which simplifies significantly the...
A lower bound for topological entropy of generic non Anosov symplectic diffeomorphisms
topological entropy Anosov symplectic diffeomorphisms
2010/11/17
We prove that a $C^1-$generic symplectic diffeomorphism is either Anosov or the topological entropy is bounded from below by the supremum over the smallest positive Lyapunov exponent of the periodic ...