Pratyush Sarkar

activity

20192026

most citedBifurcating entanglement-renormalization group flows of fracton stabilizer models

41 citations · 81 across the 15 of their papers we have counts for

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math.DS2026

Generalization of Selberg's $3/16$ theorem for geometrically finite thin subgroups of $SO (n, 1)$

Pratyush Sarkar

Let $Γ$ be a geometrically finite thin subgroup of an arithmetic lattice $Γ_{0} < G := SO (n, 1)$ and consider the congruence covers of $Γ\ G$ . In the breakthr…

math.DS2026

A dynamical proof of non-arithmeticity of Jordan spectra

Hee Oh, Pratyush Sarkar

We give a dynamical proof of Benoist's non-arithmeticity theorem for Jordan spectra of Zariski dense subgroups of connected semisimple real algebraic groups. After passing to a Zar…

math.DS2026

Strong spectral gap for geometrically finite hyperbolic manifolds

Dubi Kelmer, Osama Khalil, Pratyush Sarkar

Let $Γ < G := SO (d + 1, 1)$ for $d \geq 1$ be a Zariski dense, geometrically finite, discrete subgroup with critical exponent strictly greater than $d /2$ . We show that…

Generalization of Selberg's 3/16 theorem for geometrically finite thin subgroups of SO(n,1)

A dynamical proof of non-arithmeticity of Jordan spectra

Strong spectral gap for geometrically finite hyperbolic manifolds

Generalization of Selberg's $3/16$ theorem for geometrically finite thin subgroups of $SO (n, 1)$