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math.DS2023★ 1 cited
Ergodicity of a surgered flow on unit tangent bundle of hyperbolic surface
Aritro Pathak
Starting with a trivial periodic flow on , the unit tangent bundle of a genus two surface, we perform a Dehn-type surgery on the manifold around a tubular neighborhood…
math.DS2023
Ergodicity in the linked twist map with oppositely oriented shears
Aritro Pathak
We reduce the earlier known optimal shear parameter for which ergodicity is established in the linked twist map with two linear shears in opposite sense, in the most general settin…