Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Pyatov, Pavel"'
Many continuous reaction-diffusion models on $\mathbb{Z}$ (annihilating or coalescing random walks, exclusion processes, voter models) admit a rich set of Markov duality functions which determine the single time distribution. A common feature of thes
Externí odkaz:
http://arxiv.org/abs/2212.12944
Autor:
Ogievetsky, Oleg, Pyatov, Pavel
A notion of quantum matrix (QM-) algebra generalizes and unifies two famous families of algebras from the theory of quantum groups: the RTT-algebras and the reflection equation (RE-) algebras. These algebras being generated by the components of a `qu
Externí odkaz:
http://arxiv.org/abs/1910.08551
Autor:
Pyatov, Pavel, Trofimova, Anastasia
We consider quotients of the group algebra of the $3$-string braid group $B_3$ by $p$-th order generic polynomial relations on the elementary braids. In cases $p=2,3,4,5$ these quotient algebras are finite dimensional. We give semisimplicity criteria
Externí odkaz:
http://arxiv.org/abs/1808.06395
Publikováno v:
J. Stat. Mech. (2018) 053107
We study the large deviation functions for two quantities characterizing the avalanche dynamics in the Raise and Peel model: the number of tiles removed by avalanches and the number of global avalanches extending through the whole system. To this end
Externí odkaz:
http://arxiv.org/abs/1802.01555
Autor:
Pyatov, Pavel
We develop a construction of the unitary type anti-involution for the quantized differential calculus over $GL_q(n)$ in the case $|q|=1$. To this end, we consider a joint associative algebra of quantized functions, differential forms and Lie derivati
Externí odkaz:
http://arxiv.org/abs/1504.04442
Stochastic processes with Z_N symmetry and complex Virasoro representations. The partition functions
Publikováno v:
J. Phys. A: Math. Theor. 47 (2014) 462001
In a previous Letter (J. Phys. A v.47 (2014) 212003) we have presented numerical evidence that a Hamiltonian expressed in terms of the generators of the periodic Temperley-Lieb algebra has, in the finite-size scaling limit, a spectrum given by repres
Externí odkaz:
http://arxiv.org/abs/1407.2014
A series of bilinear identities on the Schur symmetric functions is obtained with the use of Pluecker relations.
Comment: Accepted to Journal of Nonlinear Mathematical Physics. A reference to a connected result is added
Comment: Accepted to Journal of Nonlinear Mathematical Physics. A reference to a connected result is added
Externí odkaz:
http://arxiv.org/abs/0907.4292
A parameterization for the power sums of GL(m|n) type quantum (super)matrix is obtained in terms of it's spectral values.
Comment: 12 pages. Submitted to the Proceedings of the international workshop on Classical and Quantum Integrable Systems,
Comment: 12 pages. Submitted to the Proceedings of the international workshop on Classical and Quantum Integrable Systems,
Externí odkaz:
http://arxiv.org/abs/0805.0177
Publikováno v:
J. Combin. Theory A 116 (2009), 772--794
We consider partial sum rules for the homogeneous limit of the solution of the q-deformed Knizhnik--Zamolodchikov equation with reflecting boundaries in the Dyck path representation. We show that these partial sums arise in a solution of the discrete
Externí odkaz:
http://arxiv.org/abs/0712.3584
Autor:
de Gier, Jan, Pyatov, Pavel
Publikováno v:
Adv. Theor. Math. Phys. 14 (2010), 795-877
We study the q-deformed Knizhnik-Zamolodchikov equation in path representations of the Temperley-Lieb algebras. We consider two types of open boundary conditions, and in both cases we derive factorised expressions for the solutions of the qKZ equatio
Externí odkaz:
http://arxiv.org/abs/0710.5362