Máté L. Telek

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20212026

most citedTopological descriptors of the parameter region of multistationarity: deciding upon connectivity

9 citations · 9 across the 14 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.AG2023

Geometry of the signed support of a multivariate polynomial and Descartes' rule of signs

Máté L. Telek

We investigate the signed support, that is, the set of the exponent vectors and the signs of the coefficients, of a multivariate polynomial $f$ . We describe conditions on the signe…

math.AG2023

On the Number of Real Zeros of Random Sparse Polynomial Systems

Alperen A. Ergür, Máté L. Telek, Josué Tonelli-Cueto

Consider a random system $f_{1} (x) = 0, \dots, f_{n} (x) = 0$ of $n$ random real polynomials in $n$ variables, where each $f_{k}$ has a prescribed set of expon…

math.AG2023

Real tropicalization and negative faces of the Newton polytope

Máté L. Telek

In this work, we explore the relation between the tropicalization of a real semi-algebraic set $S = {f_{1} < 0, \dots, f_{k} < 0}$ defined in the positive orthant and the combinato…