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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★ 1 cited
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…
math.DS2020
Marstrand type slicing statements in are false for the counting dimension
Aritro Pathak
We show that for separated subsets of , the natural Marstrand type slicing statements are false with the counting dimension that was used earlier by Moreira and Lima an…