Tien-Son Pham

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20152025

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math.AG2024

Computation of the Łojasiewicz exponents of real bivariate analytic functions

Si Tiep Dinh, Feng Guo, Hong Duc Nguyen +1

The main goal of this paper is to present some explicit formulas for computing the {Ł}ojasiewicz exponent in the {Ł}ojasiewicz inequality comparing the rate of growth of two real b…

math.AG2015

Łojasiewicz-type inequalities with explicit exponents for the largest eigenvalue function of real symmetric polynomial matrices

Si Tiep Dinh, Tien Son Pham

Let $F (x) := (f_{ij} (x))_{i, j = 1, \dots, p},$ be a real symmetric polynomial matrix of order $p$ and let $f (x)$ be the largest eigenvalue function of the matrix $F (x) .$ We denote by…