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pro vyhledávání: '"Valentin Ovsienko"'
Autor:
Valentin Ovsienko
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Vol Volume 1 (2021)
This work is a first step towards a theory of "$q$-deformed complex numbers". Assuming the invariance of the $q$-deformation under the action of the modular group I prove the existence and uniqueness of the operator of translations by~$i$ compatible
Externí odkaz:
https://doaj.org/article/69df908001f84d78a3da421e86fdde07
Publikováno v:
Forum of Mathematics, Sigma, Vol 8 (2020)
We introduce a notion of $q$-deformed rational numbers and $q$-deformed continued fractions. A $q$-deformed rational is encoded by a triangulation of a polygon and can be computed recursively. The recursive formula is analogous to the $q$-deformed Pa
Externí odkaz:
https://doaj.org/article/f145f72dd3064932a15257b28e2e06ee
Publikováno v:
Forum of Mathematics, Sigma, Vol 2 (2014)
We study the space of linear difference equations with periodic coefficients and (anti)periodic solutions. We show that this space is isomorphic to the space of tame frieze patterns and closely related to the moduli space of configurations of points
Externí odkaz:
https://doaj.org/article/4ae864839d134549b0be99bc01981dcd
Autor:
Valentin Ovsienko
Publikováno v:
The Mathematical Intelligencer. 44:212-214
Publikováno v:
The Mathematical Intelligencer. 43:61-70
Autor:
Valentin Ovsienko, Charles Conley
Publikováno v:
The Mathematical Intelligencer.
Autor:
Conley, Charles H., Valentin Ovsienko
Publikováno v:
HAL
We formulate the following general problem. To the best of our knowledge, it is open and has not previously been considered. It seems (at least to us!) to be difficult; at any rate, more difficult than enumerating the dissections themselves. Enumerat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c6c973872caa3bb9a866791aa87b724
Autor:
Valentin Ovsienko
The following general idea looks crazy. What if another integer sequence follows each integer sequence like a shadow? I will demonstrate that this is indeed the case, perhaps not for every integer sequence, but for many of them.
6 pages
6 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12167afe8485bcaeff67476a514c234d
http://arxiv.org/abs/2111.02553
http://arxiv.org/abs/2111.02553
Autor:
Valentin Ovsienko
Publikováno v:
Open Communications in Nonlinear Mathematical Physics
Open Communications in Nonlinear Mathematical Physics, Episciences, 2021, Volume 1, ⟨10.46298/ocnmp.7480⟩
Open Communications in Nonlinear Mathematical Physics, Episciences, 2021, Volume 1, ⟨10.46298/ocnmp.7480⟩
This work is a first step towards a theory of "$q$-deformed complex numbers". Assuming the invariance of the $q$-deformation under the action of the modular group I prove the existence and uniqueness of the operator of translations by~$i$ compatible
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ad16ec7761a9554a15768fc9fc93be0
https://hal.archives-ouvertes.fr/hal-03362992/document
https://hal.archives-ouvertes.fr/hal-03362992/document
Publikováno v:
Experimental Mathematics
Experimental Mathematics, Taylor & Francis, 2019, pp.1-9. ⟨10.1080/10586458.2019.1671922⟩
Experimental Mathematics, Taylor & Francis, 2019, pp.1-9. ⟨10.1080/10586458.2019.1671922⟩
International audience; We associate a formal power series with integer coefficients to a positive real number, we interpret this series as a "q-analogue of a real." The construction is based on the notion of q-deformed rational number introduced in