Bivariate asymptotics are derived for unicellular maps of large size and genus via analysis of a linear recurrence and a general theorem for such recurrences under stated assumptions.
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Bivariate asymptotics via random walks: application to large genus maps
Bivariate asymptotics are derived for unicellular maps of large size and genus via analysis of a linear recurrence and a general theorem for such recurrences under stated assumptions.