pˈɛɹən nˈʌmbɚz ɑːɹ nˈeɪmd ˈæftɚɹ ˈɑːskɑːɹ pˈɛɹən; ðə pˈɛɹən fɹˈoʊbnɪəs θˈiəɹəm ɐsˈɜːts ðˈæt, fɚɹɚ ɹˈiːəl skwˈɛɹ mˈeɪtɹɪks wɪð pˈɑːzᵻtˌɪv ˌældʒɪbɹˈeɪɪk kˌoʊɪfˈɪʃənts hˌuːz lˈɑːɹdʒɪst ˈaɪdʒənvˌæljuː ɪz ɡɹˈeɪɾɚ ðɐn wˌʌn, ðɪs ˈaɪdʒənvˌæljuː ɪz ɐ pˈɛɹən nˈʌmbɚ.
Perron numbers are named after Oskar Perron; the Perron–Frobenius theorem asserts that, for a real square matrix with positive algebraic coefficients whose largest eigenvalue is greater than one, this eigenvalue is a Perron number.