Green currents for quasi-algebraically stable meromorphic self-maps of $\mathbb{P}^k$

Examples of algebraically realized maps

Let G = Z4. We construct examples of G-equivariant entire rational maps from non-singular real algebraic G-varieties to Grassmannians with appropriate actions of G. These examples of strongly algebraicZ4 vector bundles facilitate a key step in the verification of Conjecture1.1 in the general cyclic group action case.

Green Product Consumers Segmentation Using Self-Organizing Maps in Iran

This study aims to segment the market based on demographical, psychological, and behavioral variables, and seeks to investigate their relationship with green consumer behavior. In this research, self-organizing maps are used to segment and to determine the features of green consumer behavior. This was a survey type of research study in which eight variables were selected from the demographical,...

Dynamics of Meromorphic Maps with Small Topological Degree Iii: Geometric Currents and Ergodic Theory

We continue our study of the dynamics of mappings with small topological degree on projective complex surfaces. Previously, under mild hypotheses, we have constructed an ergodic “equilibrium” measure for each such mapping. Here we study the dynamical properties of this measure in detail: we give optimal bounds for its Lyapunov exponents, prove that it has maximal entropy, and show that it has p...

Diophantine Inequalities and Quasi-algebraically Closed Fields

Consider a form g(x1, . . . , xs) of degree d, having coefficients in the completion Fq((1/t)) of the field of fractions Fq(t) associated to the finite field Fq. We establish that whenever s > d, then the form g takes arbitrarily small values for non-zero arguments x ∈ Fq[t ]. We provide related results for problems involving distribution modulo Fq[t ], and analogous conclusions for quasi-algeb...

Relative Compactness and Product Stable Quotient Maps