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There is some disagreement about the meaning
of the phrase 'chaotic
ow.' However, there is no doubt that mixing Anosov
ows provide an example of such systems. Anosov systems were introduced
and...
Row and Column Correlations (Are a set of microarrays independent of each other?)
Row Column Correlations
2015/8/20
Having observed an m n matrix X whose rows are possibly correlated, we wish to test the hypothesis that the columns are independent of each other. Our motivation comes from microarray studies,
where...
Wave field correlations in weakly mismatched random media
Wave field correlations weakly mismatched random media
2015/7/14
This paper concerns the derivation of a Fokker-Planck equation for the correlation of two high frequency wave fields propagating in two different random media. The mismatch between therandom media nee...
Correlations between Google search data and Mortality Rates
Correlations；Google search data Mortality Rates
2012/11/22
Inspired by correlations recently discovered between Google search data and financial markets, we show correlations between Google search data mortality rates. Words with negative connotations may pro...
Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors
partial hyperbolicity singular-hyperbolicity recurrence decay of correlations local dimension hitting times
2012/4/23
We consider two dimensional maps preserving a foliation which is uniformly contracting and a one dimensional associated quotient map having exponential convergence to equilibrium (iterates of Lebesgue...
Universality of Correlations for Random Analytic Functions
Universality of Correlations Random Analytic Functions Probability
2011/9/16
Abstract: We review a result obtained with Andrew Ledoan and Marco Merkli. Consider a random analytic function $f(z) = \sum_{n=0}^{\infty} a_n X_n z^n$, where the $X_n$'s are i.i.d., complex valued ra...
Correlation functions of the two-dimensional Ising model on the periodic lattice can be expressed in terms of form factors — matrix elements of the spin operator in the basis of
common eigenstates of...
Correlation functions of the two-dimensional Ising model on the periodic lattice can be expressed in terms of form factors — matrix elements of the spin operator in the basis of
common eigenstates of...
Correlations and pair emission in the escape dynamics of ions from one-dimensional traps
Correlations pair emission escape dynamics of ions one-dimensional traps
2010/12/28
We explore the non-equilibrium escape dynamics of long-range interacting ions in one-dimensional traps. The phase space of the few ion setup and its impact on the escape properties are studied.
Towards a unified characterization of phenological phases: fluctuations and correlations with temperature
Biological Physics (physics.bio-ph) Adaptation and Self-Organizing Systems (nlin.AO) Data Analysis, Statistics and Probability (physics.data-an)
2010/11/11
Phenological timing -- i.e. the course of annually recurring development stages in nature -- is of particular interest since it can be understood as a proxy for the climate at a specific region; moreo...
Magnetic field correlations in a random flow with strong steady shear
Chaotic Dynamics (nlin.CD)
2010/11/10
We analyze magnetic kinematic dynamo in a conducting fluid where the stationary shear flow is accompanied by relatively weak random velocity fluctuations. The diffusionless and diffusion regimes are d...
In this paper, we first rework B. Kaufman's 1949 paper, "Crystal Statistics. II. Partition Function Evaluated by Spinor Analysis", by using representation theory. Our approach leads to a simpler and m...
In this paper we study linear correlations of the divisor function tau(n) = sum_{d|n} 1 using methods developed by Green and Tao. For example, we obtain an asymptotic for sum_{n,d} tau(n) tau(n+d) ......
Impact of the tick-size on financial returns and correlations
Financialcor relations Eppseect Market emergence Covariance estimation Tick-size Market
2010/4/27
We demonstrate that the lowest possible price change (tick-size) has a large impact on the structure of financial return distributions. It induces a microstructure as well as it can alter the tail beh...