107 citations · 316 across the 24 of their papers we have counts for
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math.AT2021
Biparametric persistence for smooth filtrations
Mishal Assif P K, Yuliy Baryshnikov
The goal of this note is to define biparametric persistence diagrams for smooth generic mappings for smooth compact manifold . Existing approa…
math-ph2021
On Random Quantum Random Walks
Yuliy Baryshnikov
Quantum random walks, - coined, lattice ones, - exhibit ballistic behavior with fascinating asymptotic patterns of the amplitudes. We show that averaging over the coins (using the…
math.PR2021
Flux in tilted potential systems: negative resistance and persistence
Yuliy Baryshnikov, Matthew D. Kvalheim
Many real-world systems are well-modeled by Brownian particles subject to gradient dynamics plus noise arising, e.g., from the thermal fluctuations of a heat bath. Of central impor…