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…
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…
Quantum Lichnerowicz - Poisson complex
Valerii Sopin
Using the curved bc-beta-gamma system (a tensor product of a Heisenberg and a Clifford vertex algebra) we introduce quantum analogy of Lichnerowicz differential. As follows we sugg…