1 citations · 1 across the 2 of their papers we have counts for
5 papers
Weak geometric lemma for ADR boundary of a uniform domain implies uniform rectifiability
Aritro Pathak
We resolve a conjecture of Guy David and Svitlana Mayboroda. We show that if is a uniform domain with -dimensional Ahlfors David regular boundary $E…
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…
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…
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…
Glaisher's Partition problem
Aritro Pathak
We generalize the well known Glaisher partition bijection result. For given positive integers n, d, both greater than 1, we provide a rich family of bijections between the set of p…