Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Matthew Tointon"'
Autor:
Matthew Tointon
Publikováno v:
Discrete Analysis (2024)
New bounds in the discrete analogue of Minkowski's second theorem, Discrete Analysis 2024:7, 6 pp. Minkowski's first theorem in the geometry of numbers states that if a closed centrally symmetric body $K$ in $\mathbb R^n$ has volume at least $2^n$,
Externí odkaz:
https://doaj.org/article/a869227d6c244a1fa346b37576d1775a
Autor:
Romain Tessera, Matthew Tointon
Publikováno v:
Discrete Analysis (2018)
Properness of nilprogressions and the persistence of polynomial growth of given degree, Discrete Analysis 2018:17, 38 pp. A $k$-_dimensional arithmetic progression_ is a set $P$ of the form $\{a_0+\sum_{i=1}^ka_id_i:0\leq a_i
Externí odkaz:
https://doaj.org/article/5f84a8b6d2d84ac4a075f6c1cfcfef3d
Autor:
Matthew Tointon
Publikováno v:
Journal of the London Mathematical Society. 101:1280-1297
Let G be a group, and let M=(m_n) be a sequence of finitely supported probability measures on G. Consider the probability that two elements chosen independently according to m_n commute. Antolin, Martino and Ventura define the 'degree of commutativit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4595c70fd57d9230553a4a792a5b277
https://doi.org/10.1112/jlms.12305
https://doi.org/10.1112/jlms.12305
Autor:
Matthew Tointon
Publikováno v:
EMS Newsletter. :12-16
We give a brief introduction to the notion of an 'approximate group' and some of its numerous applications.
Comment: 9 pages. This is a translation into English of the author's French article `Raconte-moi... les groupes approximatifs', Gaz. Math
Comment: 9 pages. This is a translation into English of the author's French article `Raconte-moi... les groupes approximatifs', Gaz. Math
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d22a5ebb3efef2b8b799e80c43aa56e
https://doi.org/10.4171/news/115/4
https://doi.org/10.4171/news/115/4
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Politècnica de Catalunya (UPC)
The 'degree of k-step nilpotence' of a finite group G is the proportion of the tuples (x_1,...,x_{k+1}) in G^{k+1} for which the simple commutator [x_1,...,x_{k+1}] is equal to the identity. In this paper we study versions of this for an infinite gro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::53a5a32aa0784d95bb78d9543c40ce88
https://eprints.soton.ac.uk/440956/
https://eprints.soton.ac.uk/440956/
Autor:
Matthew Tointon
Publikováno v:
Mathematische Annalen
Tointon, M C H 2019, ' Approximate subgroups of residually nilpotent groups ', Mathematische Annalen, vol. 374, pp. 499-515 . https://doi.org/10.1007/s00208-018-01795-z
Tointon, M C H 2019, ' Approximate subgroups of residually nilpotent groups ', Mathematische Annalen, vol. 374, pp. 499-515 . https://doi.org/10.1007/s00208-018-01795-z
We show that a K-approximate subgroup A of a residually nilpotent group G is contained in boundedly many cosets of a finite-by-nilpotent subgroup, the nilpotent factor of which is of bounded step. Combined with an earlier result of the author, this i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df5a3224b8c8bcccbe75127b32822106
http://europepmc.org/articles/PMC6560002
http://europepmc.org/articles/PMC6560002
Autor:
Matthew Tointon, Romain Tessera
Publikováno v:
Tessera, R & Tointon, M C H 2021, ' A finitary structure theorem for vertex-transitive graphs of polynomial growth ', Combinatorica, vol. 41, no. 2, pp. 263-298 . https://doi.org/10.1007/s00493-020-4295-6
We prove a quantitative, finitary version of Trofimov's result that a connected, locally finite vertex-transitive graph G of polynomial growth admits a quotient with finite fibres on which the action of Aut(G) is virtually nilpotent with finite verte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08acc92d3881046ec3ba42f8c89752c0
https://research-information.bris.ac.uk/en/publications/a1f9c171-b04d-4685-895f-c79f7cd12a96
https://research-information.bris.ac.uk/en/publications/a1f9c171-b04d-4685-895f-c79f7cd12a96
Shalom and Tao showed that a polynomial upper bound on the size of a single, large enough ball in a Cayley graph implies that the underlying group has a nilpotent subgroup with index and degree of polynomial growth both bounded effectively. The third
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95826021e0baccbf1bf8b0a372b9a424
http://arxiv.org/abs/2010.05346
http://arxiv.org/abs/2010.05346
Autor:
Matthew Tointon
Publikováno v:
The American Mathematical Monthly. 125:820-828
The "Mahler volume" is, intuitively speaking, a measure of how "round" a centrally symmetric convex body is. In one direction this intuition is given weight by a result of Santalo, who in the 1940s showed that the Mahler volume is maximized, in a giv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fabfa3d33d840ae6aa56adc603fc7559
https://doi.org/10.1080/00029890.2018.1503511
https://doi.org/10.1080/00029890.2018.1503511
Autor:
Thiebout Delabie, Matthew Tointon
Publikováno v:
Discrete Mathematics. 341:1036-1040
We show that every box space of a virtually nilpotent group has asymptotic dimension equal to the Hirsch length of that group.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c4ce51dc72b7847cf8e32e3ac28852e
https://doi.org/10.1016/j.disc.2017.12.009
https://doi.org/10.1016/j.disc.2017.12.009