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20202026
most citedErgodicity of a surgered flow on unit tangent bundle of hyperbolic surface

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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.MG2023

Open intervals in sums and products of Cantor sets

Aritro Pathak

We give new arguments for sums and products of sufficient numbers of arbitrary central Cantor sets to produce large open intervals. We further discuss the same question for i…

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…