4 papers
When Entropy flows: drifting along the route to Chaos
Eran Igra, Valerii Sopin, Yanghong Yu
Consider a smooth one-parameter family of vector fields defined over some smooth manifold transitions from order into chaos. Inspired by the Second law of Thermodynamics, one is le…
A Tensor Category Construction of the Triplet Vertex Operator Algebra and Applications
Robert McRae, Valerii Sopin
For coprime , the triplet vertex operator algebra is a non-simple extension of the universal Virasoro vertex operator algebra of central charge…
Using Erdős's methods to study Yorke's problems
Eran Igra, Valerii Sopin
In this paper, we study the possible bifurcations of periodic orbits by analyzing them as graphs. In detail, we construct a collection of graphs which are an idealized versions of…
Period-Doubling Cascades Invariants: Braided Routes To Chaos
Eran Igra, Valerii Sopin
By a classical result of Kathleen Alligood and James Yorke we know that as we isotopically deform a map to a Smale horseshoe map we should often expect the…