Zobrazeno 1 - 10
of 158
pro vyhledávání: '"Michel Planat"'
Publikováno v:
Dynamics, Vol 4, Iss 1, Pp 1-13 (2024)
The symmetries of a Riemann surface Σ∖{ai} with n punctures ai are encoded in its fundamental group π1(Σ). Further structure may be described through representations (homomorphisms) of π1 over a Lie group G as globalized by the character variet
Externí odkaz:
https://doaj.org/article/6816315f9a4e4b9e97c0ea89ce05e457
Autor:
Michel Planat, David Chester
Publikováno v:
International Journal of Molecular Sciences, Vol 25, Iss 9, p 4971 (2024)
RNA transcripts play a crucial role as witnesses of gene expression health. Identifying disruptive short sequences in RNA transcription and regulation is essential for potentially treating diseases. Let us delve into the mathematical intricacies of t
Externí odkaz:
https://doaj.org/article/b30bdb2f79ee49559ddccdffe837eae7
Publikováno v:
Symmetry, Vol 16, Iss 3, p 316 (2024)
We generalize Koopman–von Neumann classical mechanics to poly symplectic fields and recover De Donder–Weyl’s theory. Compared with Dirac’s Hamiltonian density, it inspires a new Hamiltonian formulation with a canonical momentum field that is
Externí odkaz:
https://doaj.org/article/a47ab55f3fae4983b1fd7735cb868a27
Publikováno v:
Quantum Reports, Vol 4, Iss 4, Pp 523-532 (2022)
We recently proposed that topological quantum computing might be based on SL(2,C) representations of the fundamental group π1(S3\K) for the complement of a link K in the three-sphere. The restriction to links whose associated SL(2,C) character varie
Externí odkaz:
https://doaj.org/article/901c1806f5eb4a798bdc1fcf9c3d0161
Publikováno v:
Current Issues in Molecular Biology, Vol 44, Iss 4, Pp 1417-1433 (2022)
Transcription factors (TFs) are proteins that recognize specific DNA fragments in order to decode the genome and ensure its optimal functioning. TFs work at the local and global scales by specifying cell type, cell growth and death, cell migration, o
Externí odkaz:
https://doaj.org/article/9339e32f7f504c6d8fe57ddc3096443e
Publikováno v:
Symmetry, Vol 15, Iss 3, p 770 (2023)
Transcription factors (TFs) and microRNAs (miRNAs) are co-actors in genome-scale decoding and regulatory networks, often targeting common genes. To discover the symmetries and invariants of the transcription and regulation at the scale of the genome,
Externí odkaz:
https://doaj.org/article/44390cd08bf142768fa5f5f858e18d11
Publikováno v:
Quantum Reports, Vol 3, Iss 1, Pp 68-79 (2021)
The Kummer surface was constructed in 1864. It corresponds to the desingularization of the quotient of a 4-torus by 16 complex double points. Kummer surface is known to play a role in some models of quantum gravity. Following our recent model of the
Externí odkaz:
https://doaj.org/article/14cebccdb8024a79a59cec94f37ba76c
Publikováno v:
Axioms, Vol 12, Iss 3, p 233 (2023)
Revealing the time structure of physical or biological objects is usually performed thanks to the tools of signal processing such as the fast Fourier transform, Ramanujan sum signal processing, and many other techniques. For space-time topological ob
Externí odkaz:
https://doaj.org/article/655ac3737b154cf8bc3b4689e76059bc
Autor:
Michel Planat
Publikováno v:
Symmetry, Vol 14, Iss 11, p 2367 (2022)
This editorial is a short review of papers accepted in Symmetry in 2020–2022 about the topic of Number Theory [...]
Externí odkaz:
https://doaj.org/article/401f392ea7284e7485c71dfedb9dc868
Publikováno v:
International Journal of Molecular Sciences, Vol 23, Iss 21, p 13290 (2022)
Taking a DNA sequence, a word with letters/bases A, T, G and C, as the relation between the generators of an infinite group π, one can discriminate between two important families: (i) the cardinality structure for conjugacy classes of subgroups of
Externí odkaz:
https://doaj.org/article/ac47417970e84b5f927e0ad5ed924f20