Vladimir Dotsenko

Gr\"obner bases for operads (2008)

We show how to use Groebner bases for operads to prove various freeness theorems: freeness of certain operads as nonsymmetric operads, freeness of an operad Q as a P-module for an inclusion P into Q,...

Dotsenko, Vladimir, Khoroshkin, Anton

We define a new monoidal category on collections (shuffle composition). Monoids in this category (shuffle operads) turn out to bring a new insight in the theory of symmetric operads. For this...

On Superspace Actions for Multiple M2-Branes, Metric 3-Algebras and their Classification (2008)

Cherkis, Sergey A., Dotsenko, Vladimir, Saemann, Christian

We classify canonical metric 3-algebra structures on matrix algebras and find novel three-dimensional conformally invariant actions in N=4 projective superspace based on them. These can be viewed as...

Parking functions and vertex operators (2008)

Compatible associative products and trees (2008)

We introduce several associative algebras and series of vector spaces associated to these algebras. Using lattice vertex operators, we obtain dimension and character formulae for these spaces. In...

A remark on Frobenius characters for set representations of symmetric groups (2008)

We compute dimensions of graded components for free algebras with two compatible associative products, and give a combinatorial interpretation of these algebras in terms of planar rooted trees.

Superconductor Digital-RF Receiver Systems (2008)

For any set representation (permutation representation) of the symmetric group $S_n$, we give combinatorial interpretation for coefficients of its Frobenius character expanded in the basis of...

MUKHANOV, Oleg A., KIRICHENKO, Dmitri, VERNIK, Igor V., FILIPPOV, Timur V., KIRICHENKO, Alexander, WEBBER, Robert, ...

Digital superconductor electronics has been experiencing rapid maturation with the emergence of smaller-scale, lower-cost communications applications which became the major technology drivers. These...

Quadratic Algebras Related to the Bi-Hamiltonian Operad (2007)

Bershtein, Mikhail, Dotsenko, Vladimir, Khoroshkin, Anton

We prove the conjectures on dimensions and characters of some quadratic algebras stated by B. L. Feigin. It turns out that these algebras are naturally isomorphic to the duals of the components of...

An operadic approach to deformation quantization of compatible Poisson brackets (2006)

The Phenomenology of Strings and Clusters in the 3d Ising Model (2006)

We construct an analogue of the Livernet--Loday operad for two compatible brackets. The Livernet--Loday operad can be used to define $\star$-products and deformation quantization for Poisson...

Dotsenko, Vladimir, Picco, Marco, Windey, Paul, Harris, Geoffrey, Martinec, Emil, Marinari, Enzo

We examine the geometrical and topological properties of surfaces surrounding clusters in the 3--$d$ Ising model. For geometrical clusters at the percolation temperature and Fortuin--Kasteleyn...

Quadratic algebras related to the bihamiltonian operad (2006)

Bershtein, Mikhail, Dotsenko, Vladimir, Khoroshkin, Anton

We prove the conjectures on dimensions and characters of some quadratic algebras stated by B.L.Feigin. It turns out that these algebras are naturally isomorphic to the duals of the components of the...

Character formulas for the operad of two compatible brackets and for the bihamiltonian operad (2006)

Dotsenko, Vladimir, Khoroshkin, Anton

We compute dimensions of the components for the operad of two compatible brackets and for the bihamiltonian operad. We also obtain character formulas for the representations of the symmetric groups...

Random Bond Potts Model: the Test of the Replica Symmetry Breaking (2005)

Randomly coupled minimal models (2005)

Averaged spin-spin correlation function squared $\\overline{^{2}}$ is calculated for the ferromagnetic random bond Potts model. The technique being used is the renormalization group plus conformal...

Correlation functions for the 2D random bonds Potts Models (2005)

Using 1-loop renormalisation group equations, we analyze the effect of randomness on multi-critical unitary minimal conformal models. We study the case of two randomly coupled $M_p$ models and found...

RENORMALIZATION GROUP SOLUTION FOR THE TWO-DIMENSIONAL RANDOM BOND POTTS MODEL WITH BROKEN REPLICA SYMMETRY (2005)

We study the spin-spin and energy-energy correlation functions for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation group...

Dotsenko, Viktor, Dotsenko, Vladimir, Picco, Marco, Pujol, Pierre

We find a new solution of the renormalization group for the Potts model with ferromagnetic random valued coupling constants. The solution exhibits universality and broken replica symmetry. It is...

Renormalisation group calculation of correlation functions for the 2D random bond Ising and Potts models (2005)

Self-avoiding surfaces in the 3d Ising model (2005)

We find the cross-over behavior for the spin-spin correlation function for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation...

Dotsenko, Vladimir, Picco, Marco, Windey, Paul, Harris, Geoffrey, Martinec, Emil, Marinari, Enzo

We examine the geometrical and topological properties of surfaces surrounding clusters in the 3d Ising model. For geometrical clusters at the percolation temperature and Fortuin-Kasteleyn clusters at...

Spin--spin critical point correlation functions for the 2D random bond Ising and Potts models (2005)

Critical and Topological Properties of Cluster Boundaries in the 3d Ising Model (2005)

We compute the combined two and three loop order correction to the spin-spin correlation functions for the 2D Ising and q-states Potts model with random bonds at the critical point. The procedure...

Dotsenko, Vladimir, Windey, Paul, Harris, Geoffrey, Marinari, Enzo, Martinec, Emil, Picco, Marco

We analyze the behavior of the ensemble of surface boundaries of the critical clusters at $T=T_c$ in the $3d$ Ising model. We find that $N_g(A)$, the number of surfaces of given genus $g$ and fixed...

Universality of coupled Potts models (2004)

Dotsenko, Vladimir, Jacobsen, Jesper-Lykke, Nguyen, Xuan Son, Santachiara, Raoul

We study systems of M Potts models coupled by their local energy density. Each model is taken to have a distinct number of states, and the permutational symmetry S_M present in the case of identical...

Classification of Conformal Field Theories Based on Coulomb gases. Application to Loop Models (2004)

Dotsenko, Vladimir, Jacobsen, Jesper, Picco, Marco

We present a method for classifying conformal field theories based on Coulomb gases (bosonic free-field construction). Given a particular geometric configuration of the screening charges, we give...

Coupled Potts models: Self-duality and fixed point structure (2004)

Dotsenko, Vladimir, Jacobsen, Jesper, Lewis, Marc-André, Picco, Marco

We consider q-state Potts models coupled by their energy operators. Restricting our study to self-dual couplings, numerical simulations demonstrate the existence of non-trivial fixed points for 2

Parafermionic theory with the symmetry Z_N, for N even (2004)

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

Following our previous papers (hep-th/0212158 and hep-th/0303126) we complete the construction of the parafermionic theory with the symmetry Z_N based onthe second solution of Fateev-Zamolodchikov...

Conformal field theories with Z_N and Lie algebra symmetries (2004)

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

We construct two-dimensional conformal field theories with a Z_N symmetry, based on the second solution of Fateev-Zamolodchikov for the parafermionic chiral algebra. Primary operators are classified...

Parafermionic theory with the symmetry Z_N, for N even (2004)

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

Following our previous papers (hep-th/0212158 and hep-th/0303126) we complete the construction of the parafermionic theory with the symmetry Z_N based onthe second solution of Fateev-Zamolodchikov...

Conformal field theories with Z_N and Lie algebra symmetries (2004)

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

We construct two-dimensional conformal field theories with a Z_N symmetry, based on the second solution of Fateev-Zamolodchikov for the parafermionic chiral algebra. Primary operators are classified...

Série de Cours sur la Théorie Conforme (2004)

Conformal field theories with Z_N and Lie algebra symmetries (2004)

On trouvera ici une série de cours sur la Théorie Conforme. Cette série de cours a été enseignée dans le cadre des cours du second semestre du DEA de Physique théorique. Ce document présente...

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

We construct two-dimensional conformal field theories with a Z_N symmetry, based on the second solution of Fateev-Zamolodchikov for the parafermionic chiral algebra. Primary operators are classified...

Parafermionic theory with the symmetry Z_N, for N even (2004)

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

Following our previous papers (hep-th/0212158 and hep-th/0303126) we complete the construction of the parafermionic theory with the symmetry Z_N based onthe second solution of Fateev-Zamolodchikov...

Série de Cours sur la Théorie Conforme (2004)

Parafermionic theory with the symmetry Z_N, for N even (2003)

On trouvera ici une série de cours sur la Théorie Conforme. Cette série de cours a été enseignée dans le cadre des cours du second semestre du DEA de Physique théorique. Ce document présente...

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

Following our previous papers (hep-th/0212158 and hep-th/0303126) we complete the construction of the parafermionic theory with the symmetry Z_N based onthe second solution of Fateev-Zamolodchikov...

Conformal field theories with Z_N and Lie algebra symmetries (2003)

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

We construct two-dimensional conformal field theories with a Z_N symmetry, based on the second solution of Fateev-Zamolodchikov for the parafermionic chiral algebra. Primary operators are classified...

Parafermionic theory with the symmetry Z_N, for N odd (2003)

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

We construct a parafermionic conformal theory with the symmetryZ_N, for N odd, based on the second solution ofFateev-Zamolodchikov for the corresponding parafermionic chiralalgebra. Primary operators...

Parafermionic theory with the symmetry Z_N, for N odd (2003)

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

We construct a parafermionic conformal theory with the symmetryZ_N, for N odd, based on the second solution ofFateev-Zamolodchikov for the corresponding parafermionic chiralalgebra. Primary operators...

Parafermionic theory with the symmetry Z_5 (2003)

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

A parafermionic conformal theory with the symmetry Z_5 is constructed,based on the second solution of Fateev-Zamolodchikov for thecorresponding parafermionic chiral algebra.The primary operators of...

Parafermionic theory with the symmetry Z_N, for N odd (2003)

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

We construct a parafermionic conformal theory with the symmetryZ_N, for N odd, based on the second solution ofFateev-Zamolodchikov for the corresponding parafermionic chiralalgebra. Primary operators...

Parafermionic theory with the symmetry Z_5 (2003)

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

A parafermionic conformal theory with the symmetry Z_5 is constructed,based on the second solution of Fateev-Zamolodchikov for thecorresponding parafermionic chiral algebra.The primary operators of...

Parafermionic theory with the symmetry Z_5 (2003)

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

A parafermionic conformal theory with the symmetry Z_5 is constructed,based on the second solution of Fateev-Zamolodchikov for thecorresponding parafermionic chiral algebra.The primary operators of...

Parafermionic theory with the symmetry Z_N, for N odd (2003)

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

We construct a parafermionic conformal theory with the symmetryZ_N, for N odd, based on the second solution ofFateev-Zamolodchikov for the corresponding parafermionic chiralalgebra. Primary operators...

Parafermionic theory with the symmetry Z_5 (2002)

Dotsenko, Vladimir, Jacobsen, Jesper, Santachiara, Raoul

A parafermionic conformal theory with the symmetry Z_5 is constructed,based on the second solution of Fateev-Zamolodchikov for thecorresponding parafermionic chiral algebra.The primary operators of...

Parafermionic theory with the symmetry Z_5 (2002)

Dotsenko, Vladimir, Jacobsen, Jesper Lykke, Santachiara, Raoul

A parafermionic conformal theory with the symmetry Z_5 is constructed, based on the second solution of Fateev-Zamolodchikov for the corresponding parafermionic chiral algebra. The primary operators...

Universality of coupled Potts models (2002)

Dotsenko, Vladimir, Jacobsen, Jesper-Lykke, Nguyen, Xuan Son, Santachiara, Raoul

We study systems of M Potts models coupled by their local energy density. Each model is taken to have a distinct number of states, and the permutational symmetry S_M present in the case of identical...

Universality of coupled Potts models (2002)

Dotsenko, Vladimir, Jacobsen, Jesper-Lykke, Nguyen, Xuan Son, Santachiara, Raoul

We study systems of M Potts models coupled by their local energy density. Each model is taken to have a distinct number of states, and the permutational symmetry S_M present in the case of identical...

Classification of Conformal Field Theories Based on Coulomb gases. Application to Loop Models (2001)

Dotsenko, Vladimir, Jacobsen, Jesper, Picco, Marco

We present a method for classifying conformal field theories based on Coulomb gases (bosonic free-field construction). Given a particular geometric configuration of the screening charges, we give...

Classification of Conformal Field Theories Based on Coulomb gases. Application to Loop Models (2001)

Dotsenko, Vladimir, Jacobsen, Jesper, Picco, Marco

We present a method for classifying conformal field theories based on Coulomb gases (bosonic free-field construction). Given a particular geometric configuration of the screening charges, we give...

Coupled Potts models: Self-duality and fixed point structure (1999)

Dotsenko, Vladimir, Jacobsen, Jesper, Lewis, Marc-André, Picco, Marco

We consider q-state Potts models coupled by their energy operators. Restricting our study to self-dual couplings, numerical simulations demonstrate the existence of non-trivial fixed points for 2

Coupled Potts models: Self-duality and fixed point structure (1999)

Dotsenko, Vladimir, Jacobsen, Jesper, Lewis, Marc-André, Picco, Marco

We consider q-state Potts models coupled by their energy operators. Restricting our study to self-dual couplings, numerical simulations demonstrate the existence of non-trivial fixed points for 2

Coupled Potts models: Self-duality and fixed point structure (1998)

Dotsenko, Vladimir, Jacobsen, Jesper Lykke, Lewis, Marc-Andre, Picco, Marco

We consider q-state Potts models coupled by their energy operators. Restricting our study to self-dual couplings, numerical simulations demonstrate the existence of non-trivial fixed points for 2

Random Bond Potts Model: the Test of the Replica Symmetry Breaking (1997)

NATO Advanced Research Workshop on New Developments in String Theory, Conformal Models and Topological Field Theory (1997)

Averaged spin-spin correlation function squared $\overline{^{2}}$ is calculated for the ferromagnetic random bond Potts model. The technique being used is the renormalization group plus conformal...

Baulieu, Laurent, Dotsenko, Vladimir, Kazakov, Vladimir, Windey, Paul

Random Bond Potts Model: the Test of the Replica Symmetry Breaking (1997)

Random Bond Potts Model: the Test of the Replica Symmetry Breaking (1997)

Averaged spin-spin correlation function squared $\\overline{^{2}}$ is calculated for the ferromagnetic random bond Potts model. The technique being used is the renormalization group plus conformal...

Randomly coupled minimal models (1995)

Averaged spin-spin correlation function squared $\\overline{^{2}}$ is calculated for the ferromagnetic random bond Potts model. The technique being used is the renormalization group plus conformal...

Correlation functions for the 2D random bonds Potts Models (1995)

Using 1-loop renormalisation group equations, we analyze the effect of randomness on multi-critical unitary minimal conformal models. We study the case of two randomly coupled $M_p$ models and found...

RENORMALIZATION GROUP SOLUTION FOR THE TWO-DIMENSIONAL RANDOM BOND POTTS MODEL WITH BROKEN REPLICA SYMMETRY (1995)

We study the spin-spin and energy-energy correlation functions for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation group...

Dotsenko, Viktor, Dotsenko, Vladimir, Picco, Marco, Pujol, Pierre

We find a new solution of the renormalization group for the Potts model with ferromagnetic random valued coupling constants. The solution exhibits universality and broken replica symmetry. It is...

Renormalisation group calculation of correlation functions for the 2D random bond Ising and Potts models (1995)

Randomly coupled minimal models (1995)

We find the cross-over behavior for the spin-spin correlation function for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation...

Correlation functions for the 2D random bonds Potts Models (1995)

Using 1-loop renormalisation group equations, we analyze the effect of randomness on multi-critical unitary minimal conformal models. We study the case of two randomly coupled $M_p$ models and found...

RENORMALIZATION GROUP SOLUTION FOR THE TWO-DIMENSIONAL RANDOM BOND POTTS MODEL WITH BROKEN REPLICA SYMMETRY (1995)

We study the spin-spin and energy-energy correlation functions for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation group...

Dotsenko, Viktor, Dotsenko, Vladimir, Picco, Marco, Pujol, Pierre

We find a new solution of the renormalization group for the Potts model with ferromagnetic random valued coupling constants. The solution exhibits universality and broken replica symmetry. It is...

Renormalisation group calculation of correlation functions for the 2D random bond Ising and Potts models (1995)

Self-avoiding surfaces in the 3d Ising model (1995)

We find the cross-over behavior for the spin-spin correlation function for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation...

Dotsenko, Vladimir, Picco, Marco, Windey, Paul, Harris, Geoffrey, Martinec, Emil, Marinari, Enzo

We examine the geometrical and topological properties of surfaces surrounding clusters in the 3d Ising model. For geometrical clusters at the percolation temperature and Fortuin-Kasteleyn clusters at...

Randomly coupled minimal models (1995)

Correlation functions for the 2D random bonds Potts Models (1995)

Using 1-loop renormalisation group equations, we analyze the effect of randomness on multi-critical unitary minimal conformal models. We study the case of two randomly coupled $M_p$ models and found...

RENORMALIZATION GROUP SOLUTION FOR THE TWO-DIMENSIONAL RANDOM BOND POTTS MODEL WITH BROKEN REPLICA SYMMETRY (1995)

We study the spin-spin and energy-energy correlation functions for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation group...

Dotsenko, Viktor, Dotsenko, Vladimir, Picco, Marco, Pujol, Pierre

We find a new solution of the renormalization group for the Potts model with ferromagnetic random valued coupling constants. The solution exhibits universality and broken replica symmetry. It is...

Renormalisation group calculation of correlation functions for the 2D random bond Ising and Potts models (1995)

The Phenomenology of Strings and Clusters in the 3d Ising Model (1995)

We find the cross-over behavior for the spin-spin correlation function for the 2D Ising and 3-states Potts model with random bonds at the critical point. The procedure employed is the renormalisation...

Dotsenko, Vladimir, Picco, Marco, Windey, Paul, Harris, Geoffrey, Martinec, Emil, Marinari, Enzo

We examine the geometrical and topological properties of surfaces surrounding clusters in the 3--$d$ Ising model. For geometrical clusters at the percolation temperature and Fortuin--Kasteleyn...

Self-avoiding surfaces in the 3d Ising model (1995)

Dotsenko, Vladimir, Picco, Marco, Windey, Paul, Harris, Geoffrey, Martinec, Emil, Marinari, Enzo

We examine the geometrical and topological properties of surfaces surrounding clusters in the 3d Ising model. For geometrical clusters at the percolation temperature and Fortuin-Kasteleyn clusters at...

Spin--spin critical point correlation functions for the 2D random bond Ising and Potts models (1994)

The Phenomenology of Strings and Clusters in the 3d Ising Model (1994)

We compute the combined two and three loop order correction to the spin-spin correlation functions for the 2D Ising and q-states Potts model with random bonds at the critical point. The procedure...

Dotsenko, Vladimir, Picco, Marco, Windey, Paul, Harris, Geoffrey, Martinec, Emil, Marinari, Enzo

We examine the geometrical and topological properties of surfaces surrounding clusters in the 3--$d$ Ising model. For geometrical clusters at the percolation temperature and Fortuin--Kasteleyn...

Spin--spin critical point correlation functions for the 2D random bond Ising and Potts models (1994)

Spin--spin critical point correlation functions for the 2D random bond Ising and Potts models (1994)

We compute the combined two and three loop order correction to the spin-spin correlation functions for the 2D Ising and q-states Potts model with random bonds at the critical point. The procedure...