S. Ugolini

activity

20112020

most citedGraphs associated with the map

x \mapsto x + x^{- 1}

in finite fields of characteristic five

14 citations · 73 across the 17 of their papers we have counts for

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math.DS2014

Sequences of irreducible polynomials without prescribed coefficients over finite fields of even characteristic

Simone Ugolini

In this paper we deal with the construction of sequences of irreducible polynomials with coefficients in finite fields of even characteristic. We rely upon a transformation used by…

math.DS2013★ 9 cited

On the iterations of certain maps $x \mapsto k \cdot (x + x^{- 1})$ over finite fields of odd characteristic

Simone Ugolini

In this paper we describe the dynamics of certain rational maps of the form $k \cdot (x + x^{- 1})$ over finite fields of odd characteristic.

math.DS2012★ 6 cited

Sequences of binary irreducible polynomials

Simone Ugolini

In this paper we construct an infinite sequence of binary irreducible polynomials starting from any irreducible polynomial $f_0 \in \F_2 [x]$. If $f_{0}$ is of degree $n = 2^l \cdot…

math.DS2011★ 14 cited

Graphs associated with the map $x \mapsto x + x^{- 1}$ in finite fields of characteristic five

Simone Ugolini

In this paper we study the structure of the graphs associated with the iterations of the map $x \mapsto x + x^{- 1}$ over finite fields of characteristic five.

Sequences of irreducible polynomials without prescribed coefficients over finite fields of even characteristic

On the iterations of certain maps x↦k⋅(x+x−1) over finite fields of odd characteristic

Sequences of binary irreducible polynomials

Graphs associated with the map x↦x+x−1 in finite fields of characteristic five

On the iterations of certain maps $x \mapsto k \cdot (x + x^{- 1})$ over finite fields of odd characteristic

Graphs associated with the map $x \mapsto x + x^{- 1}$ in finite fields of characteristic five