On the rate of equidistribution of expanding horospheres in\n finite-volume quotients of \SL(2,\ℂ)

2015/12/08 by Samuel C. Edwards, Edwards, Samuel C.
Mathematics · #Analytic Number Theory Research #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1512.02373

Abstract

Let \Γ be a lattice in G=\SL(2,\ℂ). We give an\neffective equidistribution result with precise error terms for expanding\ntranslates of pieces of horospherical orbits in \Γ backslash G. Our\nmethod of proof relies on the theory of unitary representations.\n

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