Zobrazeno 1 - 10
of 543
pro vyhledávání: '"Alexandrov Alexander"'
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
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
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
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:
Ivanova Veronika, Batchvarov Ditchko, Ilcheva Zlatoliliya, Boneva Ani, Ilchev Svetozar, Alexandrov Alexander, Andreev Rumen
Publikováno v:
MATEC Web of Conferences, Vol 287, p 07005 (2019)
The article presents investigations in the area of the analysis of heterogeneous biological tissues using tools based on mechanical stimulations. Some known tissue mechanical models are presented along with one approach for specifying the tissue inte
Externí odkaz:
https://doaj.org/article/68ed16bdcdde48418b1c850abe8a236b
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