Results 41 to 50 of about 14,058 (161)
On qualitative analysis of an ecological dynamics with time delay
Abstract In this paper, we study a fractional‐order predator–prey system with time delay, where the dynamics are logistic with prey population commensurate to the carrying capacity. Mainly, by linearizing the system around the equilibrium point, we first analyze the stability and then prove the existence of Hopf bifurcation.
Canan Celik, Kubra Degerli
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Brownian excursions outside a corridor and two-sided Parisian options [PDF]
In this paper, we study the excursion time of a Brownian motion with drift outside a corridor by using a four states semi-Markov model. In mathematical finance, these results have an important application in the valuation of double barrier Parisian ...
Dassios, Angelos, Wu, Shanle
core
Random discrete probability measures based on a negative binomial process
Abstract A distinctive functional of the Poisson point process is the negative binomial process for which the increments are not independent but are independent conditional on an underlying gamma variable. Using a new point process representation for the negative binomial process, we generalize the Poisson–Kingman distribution and its corresponding ...
Sadegh Chegini, Mahmoud Zarepour
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Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta+2 more
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Quasi‐invariance of Gaussian measures for the 3d$3d$ energy critical nonlinear Schrödinger equation
Abstract We consider the 3d$3d$ energy critical nonlinear Schrödinger equation with data distributed according to the Gaussian measure with covariance operator (1−Δ)−s$(1-\Delta)^{-s}$, where Δ$\Delta$ is the Laplace operator and s$s$ is sufficiently large. We prove that the flow sends full measure sets to full measure sets. We also discuss some simple
Chenmin Sun, Nikolay Tzvetkov
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Chemical upcycling of poly(ethylene terephthalate) (PET) through ammonolysis is pursued. Model studies convert bis(2‐hydroxyethyl) terephthalate to terephthalamide. Diffusional limitations are explored using varying PET particle sizes and are profoundly important; for particles only 1 millimeter thick, the conversion rate decreases by a factor of ten ...
Richard‐Joseph L. Peterson+5 more
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This manuscript finds that the previous impedance modeling and stability analysis methods for photovoltaic inverters have not yet considered the fractional‐order characteristics of the elements; in order to make up for the blank in this research field, this paper carried out relevant work.
Guanlei Li+4 more
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On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas
ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias+2 more
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Dynamic Properties of the Warm Dense Uniform Electron Gas With the qSTLS Dielectric Scheme
ABSTRACT The recently derived Fourier–Matsubara expansion of imaginary–time correlation functions comprises an exact result of linear response theory for finite‐temperature quantum many‐body systems. In its density–density version, the expansion facilitates systematic comparisons between quasi‐exact ab initio path integral Monte Carlo simulations and ...
Panagiotis Tolias+3 more
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ABSTRACT The first patent to describe dielectrophoresis (DEP) as a means and process to separate particles from a mixture was granted by the US Patent Office to Henry Stafford Hatfield in 1924. The novel methods of sample preparation and designs of electrode geometry covered by the patent's disclosures and claims describe the basis for most present‐day
Ronald Pethig
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