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math.CV2023
Number of components of polynomial lemniscates: a problem of Erdös, Herzog, and Piranian
Subhajit Ghosh, Koushik Ramachandran
Let be a compact set in the plane whose logarithmic capacity is strictly positive. Let be the space of monic polynomials of degree $n…
math.PR2023
Aldous-type spectral gap results for the complete monomial group
Subhajit Ghosh
Let us consider the continuous-time random walk on , the complete monomial group of degree over a finite group , as follows: An element in can be multip…