The class of Henon maps is the most important class of polynomial automorphisms in the two dimensional complex space C^2. These are where the modern breakthrough in complex dynamics happened and till date it remained a central theme of study in multi-variable holomorphic dynamics. The present proposal deals with some significant properties of Henon maps which are expected to determine the underlying Henon maps almost uniquely. These properties are called 'rigidity' properties of Henon maps. The questions I discussed in the present proposal are inspired by the classical rigidity results for polynomial maps in one dimensional complex plane.
Source
Source
Anusandhan National Research Foundation/Science and Engineering Research Board (SERB), DST 2023-24
Science and Engineering Research Board (SERB), New Delhi
Anusandhan National Research Foundation (ANRF)
Quick Information
Area of Research
Mathematical Sciences
Focus Area
Dynamical Systems, Mathematics
Start Year
2024
End Year
2027
Sanction Amount
₹ 9.55 L
Status
Ongoing
Contact
ratna.math@gmail.com
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
00
No. of Patents
Filed :00
Grant :00
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