Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Lelievre, Samuel"'
Autor:
Connor, Mei Rose, Davis, Diana, Helms, Paige, Kielstra, Michael, Lelièvre, Samuel, Steinberg, Zachary, Sun, Chenyang
The study of polygonal billiards, particularly those in the regular pentagon, has been the subject of two recent papers. One of these papers approaches the problem of discovering the periodic trajectories on the pentagon by identifying slopes of peri
Externí odkaz:
http://arxiv.org/abs/2111.13971
Autor:
Davis, Diana, Lelièvre, Samuel
We give a tree structure on the set of all periodic directions on the golden L, which gives an associated tree structure on the set of periodic directions for the pentagon billiard table and double pentagon surface. We use this to give the periods of
Externí odkaz:
http://arxiv.org/abs/1810.11310
Autor:
Dehaye, Paul-Olivier, Kohlhase, Michael, Konovalov, Alexander, Lelièvre, Samuel, Pfeiffer, Markus, Thiéry, Nicolas M.
OpenDreamKit --- "Open Digital Research Environment Toolkit for the Advancement of Mathematics" --- is an H2020 EU Research Infrastructure project that aims at supporting, over the period 2015--2019, the ecosystem of open-source mathematical software
Externí odkaz:
http://arxiv.org/abs/1603.06424
Lagrange spectra have been defined for closed submanifolds of the moduli space of translation surfaces which are invariant under the action of SL(2,R). We consider the closed orbit generated by a specific covering of degree 7 of the standard torus, w
Externí odkaz:
http://arxiv.org/abs/1602.02126
Autor:
Duchin, Moon, Jankiewicz, Kasia, Kilmer, Shelby C., Lelièvre, Samuel, Mackay, John M., Sánchez, Andrew P.
In the density model of random groups, we consider presentations with any fixed number m of generators and many random relators of length l, sending l to infinity. If d is a "density" parameter measuring the rate of exponential growth of the number o
Externí odkaz:
http://arxiv.org/abs/1412.8741
Publikováno v:
Geom. Topol. 20 (2016) 1737-1762
We study geometrical properties of translation surfaces: the finite blocking property, bounded blocking property, and illumination properties. These are elementary properties which can be fruitfully studied using the dynamical behavior of the SL(2,R)
Externí odkaz:
http://arxiv.org/abs/1407.2975
We give an explicit formula for the limiting gap distribution of slopes of saddle connections on the golden L, or any translation surface in its SL(2, R)-orbit, in particular the double pentagon. This is the first explicit computation of the distribu
Externí odkaz:
http://arxiv.org/abs/1308.4203
Autor:
Lelievre, Samuel, Weiss, Barak
We give infinite lists of translations surfaces with no convex presentations. We classify the surfaces in the stratum H(2) which do not have convex presentations, as well as those with no strictly convex presentations. We show that in H(1,1), all sur
Externí odkaz:
http://arxiv.org/abs/1306.3606
Publikováno v:
Ann. Sc. ENS 47 , no 6 (2014) p. 1085-1110
The periodic wind-tree model is an infinite billiard in the plane with identical rectangular scatterers disposed at each integer point. We prove that independently of the size of the scatterers, generically with respect to the angle, the polynomial d
Externí odkaz:
http://arxiv.org/abs/1107.1810
Publikováno v:
Algebr. Geom. Topol. 12 (2012) 1-18
In this paper, we introduce a geometric statistic called the "sprawl" of a group with respect to a generating set, based on the average distance in the word metric between pairs of words of equal length. The sprawl quantifies a certain obstruction to
Externí odkaz:
http://arxiv.org/abs/1104.4460