Figure S2: Zipf's law and Heaps' law resulted from the stochastic model. The six plots display three typical examples for a = 0.5, a = 1.0 and a = 1.5. The slopes ...
105
100
=0.5
=0.5
104
Slope=-1.5
Slope=0.986
Z(r)
102 101
r
1 100
101
104
102
t
103
105
101
102
104
=1.0
103
102
101
103
104
105
104
105
104
105
=1.0
Slope=0.873
103
Slope=-1.0
Z(r)
102
104
100 0 10
N(t)
10
10
N(t)
3
101
100
r
100
101
102
103
100 0 10
104
t
101
102
103
105 =1.5
104
10
2
10
N(t)
2
=1.5
Slope=0.663
Slope=-1.5
Z(r)
103
103
101
101 r
100
t
0
100
101
102
10
103
100
101
102
103
Figure S2: Zipf’s law and Heaps’ law resulted from the stochastic model. The six plots display three typical examples for α = 0.5, α = 1.0 and α = 1.5. The slopes of Zipf’s plot and Heaps’ plot are respectively obtained by the maximum likelihood method and the least square method. The simulation results agree well with the theoretical expectations.
