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16 papers · 2 filters
A tangent method derivation of the arctic curve for q-weighted paths with arbitrary starting points
Philippe Di Francesco, Emmanuel Guitter
We use a tangent method approach to obtain the arctic curve in a model of non-intersecting lattice paths within the first quadrant, including a q-dependent weight associated with t…
Distribution of a tagged particle position in the one-dimensional symmetric simple exclusion process with two-sided Bernoulli initial condition
Takashi Imamura, Kirone Mallick, Tomohiro Sasamoto
For the two-sided Bernoulli initial condition with density (resp. ) to the left (resp. to the right), we study the distribution of a tagged particle in the one dimension…
Bootstrap approach to geometrical four-point functions in the two-dimensional critical -state Potts model: A study of the -channel spectra
Jesper Lykke Jacobsen, Hubert Saleur
We revisit in this paper the problem of connectivity correlations in the Fortuin-Kasteleyn cluster representation of the two-dimensional -state Potts model conformal field theor…
The periodic Schur process and free fermions at finite temperature
Dan Betea, Jérémie Bouttier
We revisit the periodic Schur process introduced by Borodin in 2007. Our contribution is threefold. First, we provide a new simpler derivation of its correlation functions via the…
Weighted Hurwitz numbers and topological recursion
A. Alexandrov, G. Chapuy, B. Eynard +1
The KP and 2D Toda tau-functions of hypergeometric type that serve as generating functions for weighted single and double Hurwitz numbers are related to the topological recursion p…
Scalar product of twisted XXX modified Bethe vectors
S. Belliard, N. A. Slavnov, B. Vallet
We consider closed XXX spin chains with broken total spin symmetry within the framework of the modified algebraic Bethe ansatz. We study multiple actions of the modified mon…