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papers

Publications (37)

math.CO2019

Farey boat I. Continued fractions and triangulations, modular group and polygon dissections

Sophie Morier-Genoud, Valentin Ovsienko

math.SG2014

Coxeter's frieze patterns and discretization of the Virasoro orbit

Valentin Ovsienko, Serge Tabachnikov

math.AG2011

2-frieze patterns and the cluster structure of the space of polygons

Sophie Morier-Genoud, Valentin Ovsienko, Serge Tabachnikov

math.AC2008

Well, Papa, can you multiply triplets?

Sophie Morier-Genoud, Valentin Ovsienko

math.RA2011

A series of algebras generalizing the octonions and Hurwitz-Radon identity

Sophie Morier-Genoud, Valentin Ovsienko

math.AT2012

On fibrations with flat fibers

Valentin Ovsienko, Serge Tabachnikov

math-ph2008

Supertransvectants and symplectic geometry

Hichem Gargoubi, Valentin Ovsienko

math-ph2006

Differential operators on supercircle: conformally equivariant quantization and symbol calculus

Hichem Gargoubi, Najla Mellouli, Valentin Ovsienko

math-ph2009

Graded commutative algebras: examples, classification, open problems

Sophie Morier-Genoud, Valentin Ovsienko

math-ph2006

Looped cotangent Virasoro algebra and non-linear integrable systems in dimension 2+1

Valentin Ovsienko, Claude Roger

math.CO2018

Partitions of unity in $\mathrm{SL}(2,\mathbb Z)$, negative continued fractions, and dissections of polygons

Valentin Ovsienko

math-ph2008

Lie antialgebras: cohomology and representations

Valentin Ovsienko

math.CO2019

Cluster algebras with Grassmann variables

Valentin Ovsienko, Michael Shapiro

math.CO2017

Dual numbers, weighted quivers, and extended Somos and Gale-Robinson sequences

Valentin Ovsienko, Serge Tabachnikov

math.RA2015

Introducing supersymmetric frieze patterns and linear difference operators

Sophie Morier-Genoud, Valentin Ovsienko, Serge Tabachnikov

math.CO2014

Extremal set theory, cubic forms on $\mathbb{F}_2^n$ and Hurwitz square identities

Sophie Morier-Genoud, Valentin Ovsienko

math.DG2006

Hyperbolic Carathéodory conjecture

Valentin Ovsienko, Serge Tabachnikov

math.CO2016

A step towards cluster superalgebras

Valentin Ovsienko

math.DG2005

Vector fields in the presence of a contact structure

Valentin Ovsienko

math.AC2009

Simple graded commutative algebras

Sophie Morier-Genoud, Valentin Ovsienko

math.CO2013

Linear difference equations, frieze patterns and combinatorial Gale transform

Sophie Morier-Genoud, Valentin Ovsienko, Richard Evan Schwartz +1

math.RA2016

Real Clifford algebras and quadratic forms over ${\mathbb F}_2$: two old problems become one

Valentin Ovsienko

math.DS2009

The Pentagram map: a discrete integrable system

Valentin Ovsienko, Richard Schwartz, Serge Tabachnikov

math.AC2011

New solutions to the Hurwitz problem on square identities

Anna Lenzhen, Sophie Morier-Genoud, Valentin Ovsienko

math-ph2006

Large Coadjoint representation of Virasoro-type Lie algebras and differential operators on tensor-densities

Valentin Ovsienko

math-ph2012

Linear differential operators on contact manifolds

Charles H. Conley, Valentin Ovsienko

math.CO2014

$SL_2(\mathbb{Z})$-tilings of the torus, Coxeter-Conway friezes and Farey triangulations

Sophie Morier-Genoud, Valentin Ovsienko, Serge Tabachnikov

math-ph2010

Lie antialgebras: premices

Valentin Ovsienko

math.DS2009

Quasiperiodic Motion for the Pentagram Map

Valentin Ovsienko, Richard Schwartz, Serge Tabachnikov

math-ph2008

Bi-Hamiltonian nature of the equation $u_{tx}=u_{xy} u_y-u_{yy} u_x$

Valentin Ovsienko

cs.IT2012

Orthogonal Designs and a Cubic Binary Function

Sophie Morier-Genoud, Valentin Ovsienko

math.RT2017

On tangent cones of Schubert varieties

Dmitry Fuchs, Alexandre Kirillov, Sophie Morier-Genoud +1

math.DG2014

Higher Trace and Berezinian of Matrices over a Clifford Algebra

Tiffany Covolo, Valentin Ovsienko, Norbert Poncin

math-ph2005

Symmetries of modules of differential operators

Hichem Gargoubi, Pierre Mathonet, Valentin Ovsienko

math.RA2011

Alternated Hochschild Cohomology

Pierre B. A. Lecomte, Valentin Ovsienko

math.CO2017

Rotundus: triangulations, Chebyshev polynomials, and Pfaffians

Charles Conley, Valentin Ovsienko

math.DG2014

Riemannian Curl in Contact Geometry

Sofiane Bouarroudj, Valentin Ovsienko