The generalized Martin’s minimum problem and its applications in several complex variables

Approximately generalized additive functions in several variables

The goal of  this paper is to investigate the solutionand stability in random normed spaces, in non--Archimedean spacesand also in $p$--Banach spaces and finally the stability using thealternative fixed point of generalized additive functions inseveral variables.

On the minimum of several random variables

For a given sequence of real numbers a1, . . . , an we denote the k-th smallest one by k-min1≤i≤n ai. Let A be a class of random variables satisfying certain distribution conditions (the class contains N(0, 1) Gaussian random variables). We show that there exist two absolute positive constants c and C such that for every sequence of positive real numbers x1, . . . , xn and every k ≤ n one has c...

Complex Dynamics in Several Variables

1. Motivation 117 2. Iteration of Maps 118 3. Regular Versus Chaotic Behavior 119 4. The Horseshoe Map and Symbolic Dynamics 120 5. Hénon Maps 123 6. Properties of Horseshoe and Hénon Maps 126 7. Dynamically Defined Measures 127 8. Potential Theory 129 9. Potential Theory in One-Variable Dynamics 131 10. Potential Theory and Dynamics in Two Variables 133 11. Currents and Applications to Dynamic...

approximately generalized additive functions in several variables

the goal of  this paper is to investigate the solutionand stability in random normed spaces, in non--archimedean spacesand also in $p$--banach spaces and finally the stability using thealternative fixed point of generalized additive functions inseveral variables.

Generalized Eigenvector Problem and Its Applications