| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
We established a quantitative asymptotically Fekete property of averaged pullbacks of points up to an exceptional set of capacity 0 under the dynamics of a rational function of degree >1 on the Berkovich projective line over an algebraically closed field that is complete with respect to a non-trivial absolute value and has characteristic 0, and characterized and established an equidistribution theorem for moving targets in terms of Diophantine approximation. On the other hand, as an application of Diophantine property of critical orbits, we solved a problem posed by Favre--Dujardin on an approximation of the bifurcation current of a holomorphic family of rational functions and the activity current of a marked critical point of the family in the case of superattracting periodic points.
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