107 citations · 316 across the 24 of their papers we have counts for
27 papers
Asymptotics of multivariate sequences IV: generating functions with poles on a hyperplane arrangement
Yuliy Baryshnikov, Stephen Melczer, Robin Pemantle
Let F be the quotient of an analytic function with a product of linear functions. Working in the framework of analytic combinatorics in several variables, we compute asymptotic for…
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…
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…
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…
Time Series, Persistent Homology and Chirality
Yuliy Baryshnikov
We investigate the point process of persistent diagram for Brownian motions with drift, obtaining some of its basic characteristics. Further we introduce and study the refinement o…
Stationary points at infinity for analytic combinatorics
Yuliy Baryshnikov, Stephen Melczer, Robin Pemantle
On complex algebraic varieties, height functions arising in combinatorial applications fail to be proper. This complicates the description and computation via Morse theory of key t…