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math.PR2026
On the Pseudo-Mixing of Kac's Walk
Natesh S. Pillai, Aaron Smith, Vinod Vaikuntanathan
Motivated by a conjecture of Vaikuntanathan and Zamir, we study the pseudo-mixing of Kac's walk on : whether short trajectories are indistinguishable from Haar meas…
math.PR2026
Kac's walk on rotation matrices mixes in steps
Natesh S. Pillai, Aaron Smith
Kac's walk on the rotation group, introduced by Hastings in 1970, is an important high-dimensional Markov chain with applications in statistical physics, statistics, cryptography,…
math.ST2026
Microergodicity implies orthogonality of Matérn fields on bounded domains in
Natesh S. Pillai
Matérn random fields are one of the most widely used classes of models in spatial statistics. The fixed-domain identifiability of covariance parameters for stationary Matérn Gaussi…