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Discrete Path Integral Approach to the Selberg Trace Formula for Regular Graphs

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Abstract

We give a new proof of the Selberg trace formula for regular graphs. Our approach is inspired by path integral formulation of quantum mechanics, and calculations are mostly combinatorial.

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References

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Authors and Affiliations

  1. St Petersburg Department of the Steklov Institute of Mathematics, St Petersburg, 191023, Russia

    P. Mnëv

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  1. P. Mnëv
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Correspondence to P. Mnëv.

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Communicated by L. Takhtajan

Supported by grants: RFBR 05-01-00922, RAS Presidium program “Mathematical Problems of Nonlinear Dynamics”.

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Mnëv, P. Discrete Path Integral Approach to the Selberg Trace Formula for Regular Graphs. Commun. Math. Phys. 274, 233–241 (2007). https://doi.org/10.1007/s00220-007-0257-8

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  • DOI: https://doi.org/10.1007/s00220-007-0257-8

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