Groups admitting recurrent random walks and representation of groups

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Implementing Organization

Indian Statistical Institute, West Bengal

Principal Investigator

Dr. RobinsonEdwardRaja chandiraraj

Indian Statistical Institute, West Bengal

About

Researchers propose to study locally compact groups admitting recurrent random walks, that is, locally compact groups having probability measures μ with the property that ∑ μ ^n is not a radon measure. In this direction a long standing conjecture due to Guivarch and Keane states that a locally compact group admits a recurrent random walk if and only if it has at most quadratic growth, that is, {m(K^n)÷n^2} is bounded for any compact neighbourhood $K$ where $m$ is the Haar measure on $G$. We have proved the conjecture for linear groups - a joint work with Y. Guivarch - and hence we would like to explore the conjecture further by use of finite-dimensional representations of groups.

Patents

Source

Science and Engineering Research Board (SERB), DST 2022-23

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Funding Organization

Science and Engineering Research Board (SERB), New Delhi

Anusandhan National Research Foundation (ANRF)

Quick Information

Area of Research

Mathematical Sciences

Start Year

2023

End Year

2026

Sanction Amount

₹ 6.60 L

Status

Ongoing

Contact

creraja@isibang.ac.in

Output

No. of Research Paper

Technologies (If Any)

No. of PhD Produced

No. of Patents

Filed : 00

Grant : 00

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Research Projects