Zobrazeno 1 - 10
of 724
pro vyhledávání: '"Alexandrov, Alexander A."'
Autor:
Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr, Kazarian, Maxim, Shadrin, Sergey
We use the theory of $x-y$ duality to propose a new definition / construction for the correlation differentials of topological recursion; we call it "generalized topological recursion". This new definition coincides with the original topological recu
Externí odkaz:
http://arxiv.org/abs/2408.02608
Autor:
Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr, Kazarian, Maxim, Shadrin, Sergey
We prove that for any initial data on a genus zero spectral curve the corresponding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type form
Externí odkaz:
http://arxiv.org/abs/2406.07391
Autor:
Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr, Kazarian, Maxim, Shadrin, Sergey
Publikováno v:
Communications in Number Theory and Physics, Volume 18 (2024) Number 4, pp. 795-841
We review the notion of symplectic duality earlier introduced in the context of topological recursion. We show that the transformation of symplectic duality can be expressed as a composition of $x-y$ dualities in a broader context of log topological
Externí odkaz:
http://arxiv.org/abs/2405.10720
Autor:
Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr, Kazarian, Maxim, Shadrin, Sergey
Publikováno v:
Int. Math. Res. Not. IMRN 2024, no. 21, 13461--13487
We introduce a new concept of logarithmic topological recursion that provides a patch to topological recursion in the presence of logarithmic singularities and prove that this new definition satisfies the universal $x-y$ swap relation. This result pr
Externí odkaz:
http://arxiv.org/abs/2312.16950
Autor:
Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr, Kazarian, Maxim, Shadrin, Sergey
We discuss a universal relation that we call the $x-y$ swap relation, which plays a prominent role in the theory of topological recursion, Hurwitz theory, and free probability theory. We describe in a very precise and detailed way the interaction of
Externí odkaz:
http://arxiv.org/abs/2309.12176
Autor:
Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr, Kazarian, Maxim, Shadrin, Sergey
Publikováno v:
J. Geom. Phys. 206 (2024), 105329, 13 pp
For a given spectral curve, we construct a family of symplectic dual spectral curves for which we prove an explicit formula expressing the $n$-point functions produced by the topological recursion on these curves via the $n$-point functions on the or
Externí odkaz:
http://arxiv.org/abs/2304.11687
Autor:
Alexandrov, Alexander
We introduce and investigate a family of tau-functions of the 2D Toda hierarchy, which is a natural generalization of the hypergeometric family associated with Hurwitz numbers. For this family we prove a skew Schur function expansion formula. For arb
Externí odkaz:
http://arxiv.org/abs/2304.03051
Autor:
Alexandrov, Alexander
Publikováno v:
Eur. Phys. J. C 83, 147 (2023)
In this short note we identify a family of partition functions recently introduced by Wang, Liu, Zhang, and Zhao with certain specializations of the generating function for dessins d'enfant. This provides a new W-description for orbifold strongly mon
Externí odkaz:
http://arxiv.org/abs/2212.10952
Autor:
Alexandrov, Alexander, Bychkov, Boris, Dunin-Barkowski, Petr, Kazarian, Maxim, Shadrin, Sergey
We prove a recent conjecture of Borot et al. that a particular universal closed algebraic formula recovers the correlation differentials of topological recursion after the swap of $x$ and $y$ in the input data. We also show that this universal formul
Externí odkaz:
http://arxiv.org/abs/2212.00320
Autor:
Kennedy, Joyce, Kennedy, Michael, Rutherford-Johnson, Tim
Publikováno v:
The Oxford Dictionary of Music, 6 ed., 2013.
Externí odkaz:
http://www.oxfordreference.com/view/10.1093/acref/9780199578108.001.0001/acref-9780199578108-e-225
