The presence of the power-law memory is a significant feature many natural (biological, physical, etc.) and social systems. Continuous discrete fractional calculus instrument to describe behavior systems with memory. Existence chaotic solutions an intrinsic property nonlinear dynamics (regular fractional). Behavior can be very different from corresponding no Finding periodic points essential fo...

In this paper, we deal with the following quasilinear elliptic system involving gradient terms in form: $$ \begin{cases} \Delta_p u= v^m| \nabla u |^\alpha & \text{in}\quad \Omega\\ v= v^\beta| |^q \Omega, \end{cases} where $\Omega\subset\mathbb{R}^N\ (N\geq 1)$ is either equal to $ \mathbb{R}^N or a ball $B_R$ centered at origin and having radius $R>0$, $1 < p \infty$, $m,q > 0$, $\alpha\geq $...

We construct new axially symmetric rotating solutions of Einstein-Yang-Mills-Higgs theory. These globally regular configurations possess a nonvanishing electric charge which equals the total angular momentum, and zero topological charge, representing a monopole-antimonopole system rotating around the symmetry axis through their common center of mass. Introduction.– Rotation is an universal phen...

We study dynamical properties of asymptotically extremal polynomials associated with a non-polar planar compact set E. In particular, we prove that if the zeros such are uniformly bounded then their Brolin measures converge weakly to equilibrium measure addition, E is regular and sufficiently close show filled Julia sets polynomial convex hull in Klimek topology.

We show how to test hypotheses for coefficient alpha in three different situations: (1) hypothesis tests of whether coefficient alpha equals a prespecified value, (2) hypothesis tests involving two statistically independent sample alphas as may arise when testing the equality of coefficient alpha across groups, and (3) hypothesis tests involving two statistically dependent sample alphas as may ...

Consider the online testing of a stream hypotheses where real-time decision must be made before next data point arrives. The error rate is required to controlled at all points. Conventional simultaneous rules are no longer applicable due more stringent constraints and absence future data. Moreover, decision-making process may come halt when total budget, or alpha-wealth, exhausted. This work de...

The alpha model, a parametrized family of probabilities on cladograms (rooted binary leaf labeled trees), is introduced. This model is Markovian self-similar, deletion-stable (sampling consistent), and passes through the Yule, Uniform and Comb models. An explicit formula is given to calculate the probability of any cladogram or tree shape under the alpha model. Sackin's and Colless' index are s...

We herein establish an asymptotic representation theorem for locally asymptotically normal quantum statistical models. This enables us to study the efficiency of estimators, such as regular estimators and minimax leading a universal tight lower bound beyond i.i.d. assumption. formulation complements theory contiguity developed in previous paper [Fujiwara Yamagata, Bernoulli 26 (2020) 2105–2141]...

A mathematical model of a within-host viral infection is presented. A local stability analysis of the model is conducted in two ways. At first, the basic reproduction number of the system is calculated. It is shown that when the reproduction number falls below unity, the disease free equilibrium (DFE) is globally asymptotically stable, and when it exceeds unity, the DFE is unstable and there ex...

This paper presents a new and enhanced fusion module for the Multi-Sensor Precipitation Estimator (MPE) that would objectively blend real-time satellite quantitative precipitation estimates (SQPE) with radar and gauge estimates. This module consists of a preprocessor that mitigates systematic bias in SQPE, and a two-way blending routine that statistically fuses adjusted SQPE with radar estimate...