V. Dotsenko

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19912023

most citedRenormalisation group calculation of correlation functions for the 2D random bond Ising and Potts models

101 citations · 968 across the 80 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

math.CT2017★ 35 cited

Algebraic structures of $F$ -manifolds via pre-Lie algebras

Vladimir Dotsenko

We relate the operad FMan controlling the algebraic structure on the tangent sheaf of an $F$ -manifold (weak Frobenius manifold) defined by Hertling and Manin to the operad PreLie o…

math.KT2017★ 3 cited

Veronese powers of operads and pure homotopy algebras

Vladimir Dotsenko, Martin Markl, Elisabeth Remm

We define the $m$ th Veronese power of a weight graded operad $P$ to be its suboperad $P^{[m]}$ generated by operations of weight $m$ . It turns out that, unlike…

math.KT2017★ 2 cited

Boardman--Vogt tensor products of absolutely free operads

Murray Bremner, Vladimir Dotsenko

We establish a combinatorial model for the Boardman--Vogt tensor product of several absolutely free operads, that is free symmetric operads that are also free as $S$ -modul…

Algebraic structures of F-manifolds via pre-Lie algebras

Veronese powers of operads and pure homotopy algebras

Boardman--Vogt tensor products of absolutely free operads

Algebraic structures of $F$ -manifolds via pre-Lie algebras