The study aims to investigate the relationship between Markov chain Monte Carlo, correlation decay, and the Lee-Yang formalism of complex roots of partition functions to solve special cases of the "sign problem." Special cases include the independence polynomial with negative weights and the permanents of positive semi-definite matrices, which have connections to physics and can be algorithmically tractable. The study also addresses the conceptual problem of understanding the power of randomness in approximate counting algorithms.
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
Statistical Physics
Start Year
2024
End Year
2027
Sanction Amount
₹ 6.60 L
Status
Ongoing
Contact
piyush.srivastava@tifr.res.in
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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