5 citations · 8 across the 9 of their papers we have counts for
9 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…
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…
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…
Fusion and (non)-rigidity of Virasoro Kac modules in logarithmic minimal models at -central charge
Robert McRae, Valerii Sopin
Let be the category of finite-length modules for the Virasoro Lie algebra at central charge whose composition factors are irreducible quotients of reducible Ver…
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…
Construction of an algebra corresponding to a statistical model of the square ladder (square lattice with two lines)
Valerii Sopin
In this paper we define infinite-dimensional algebra and its representation, whose basis is naturally identified with semi-infinite configurations of the square ladder model. We al…
PH = PSPACE
Valerii Sopin
In this paper we show that PSPACE is equal to 4th level in the polynomial hierarchy. We also deduce a lot of important consequences. True quantified Boolean formula is a generalisa…
A new algorithm for solving the rSUM problem
Valerii Sopin
A determined algorithm is presented for solving the rSUM problem for any natural r with a sub-quadratic assessment of time complexity in some cases. In terms of an amount of memory…