We consider the minimal average action (Mather's β function) for area preserving twist maps of annulus. The regularity properties this function share interesting relations with dynamics system. prove that β-function associated to a standard-like map admits unique C1-holomorphic (canonical) complex extension, which coincides on set real diophantine frequencies. In particular, we deduce uniquenes...

The fractional Fourier transform (FRFT) is a useful tool for signal processing. It is the generalization of the Fourier transform. Many fractional operations, such as fractional convolution, fractional correlation, and the fractional Hilbert transform, are defined from it. In fact, the FRFT can be further generalized into the linear canonical transform (LCT), and we can also use the LCT to defi...

This paper proves the fundamental theorem of uncertain calculus with respect to both canonical process and renewal process, which gives the differential of an uncertain process in the form of a function of canonical process and renewal process.

We review the overlap pathology of the Glasgow reweighting method for finite density QCD, and discuss the sampling bias that effects the determination of the ensemble-averaged fugacity polynomial expansion coefficients that form the Grand Canonical Partition function. The expectation of the difference in free energies between canonical partition functions generated with different measures is pr...

identification of homogenous watershed sub basins allows generalization of environmental study results. for this purpose, first available data for 27 selected watersheds in north alborz regarding 21 variables including physiographic and climatic characteristics was gathered. the most important factors impacting upon soil erosion and sediment yield were equivalent rectangular length, mean annual...

The canonical Hippo/Mst pathway, originally discovered in Drosophila, is famous for its function in promoting apoptosis, inhibiting cell proliferation and tumorigenesis, and regulating tissue regeneration. However, emerging evidence shows that multiple non-canonical Hippo signaling pathways are also implicated in the regulation of various other biological processes. Recent studies have revealed...

We review the overlap pathology of the Glasgow reweighting method for finite density QCD, and discuss the sampling bias that effects the determination of the ensemble-averaged fugacity polynomial expansion coefficients that form the Grand Canonical Partition function. The expectation of the difference in free energies between canonical partition functions generated with different measures is pr...

Let K be a function field in one variable over an arbitrary field F. Given a rational function φ ∈ K(z) of degree at least two, the associated canonical height on the projective line was defined by Call and Silverman. The preperiodic points of φ all have canonical height zero; conversely, if F is a finite field, then every point of canonical height zero is preperiodic. However, if F is an infin...