Zobrazeno 1 - 10
of 604
pro vyhledávání: '"Domokos G"'
Planets are often covered with thin cracked shells. From mud films to lithospheres of rock or ice, fracture networks form two-dimensional (2D) tessellations of convex polygons whose geometry encodes their genesis. Here we chart the geometry of 2D fra
Externí odkaz:
http://arxiv.org/abs/2406.07376
Answering a question of Conway and Guy in a 1968 paper, L\'angi in 2021 proved the existence of a monostable polyhedron with $n$-fold rotational symmetry for any $n \geq 3$, and arbitrarily close to a Euclidean ball. In this paper we strengthen this
Externí odkaz:
http://arxiv.org/abs/2112.06079
Autor:
Domokos, G., Lángi, Z.
In a convex mosaic in $\mathbb{R} ^d$ we denote the average number of vertices of a cell by $\bar v$ and the average number of cells meeting at a node by $\bar n$. Except for the $d=2$ planar case, there is no known formula prohibiting points in any
Externí odkaz:
http://arxiv.org/abs/1905.00721
River-bed sediments display two universal downstream trends: fining, in which particle size decreases; and rounding, where pebble shapes evolve toward ellipsoids. Rounding is known to result from transport-induced abrasion; however many researchers a
Externí odkaz:
http://arxiv.org/abs/1311.6574
Autor:
Domokos, G.
We describe the variation of the number $N(t)$ of spatial critical points of smooth curves (defined as a scalar distance $r$ from a fixed origin $O$) evolving under curvature-driven flows. In the latter, the speed $v$ in the direction of the surface
Externí odkaz:
http://arxiv.org/abs/1308.4779
Autor:
Domokos, G., Gibbons, G. W.
We extend the geometrical theory presented in [5] for collisional and frictional particle abrasion to include an independent physical equation for the evolution of mass and volume. We introduce volume weight functions as multipliers of the geometric
Externí odkaz:
http://arxiv.org/abs/1307.5633
Autor:
Domokos, G., Lángi, Z.
Publikováno v:
Mathematika 60 (2014) 237-256
We examine the minimal magnitude of perturbations necessary to change the number $N$ of static equilibrium points of a convex solid $K$. We call the normalized volume of the minimally necessary truncation robustness and we seek shapes with maximal ro
Externí odkaz:
http://arxiv.org/abs/1301.4031
We describe a PDE model of bedrock abrasion by impact of moving particles and show that by assuming unidirectional impacts the modification of a geometrical PDE due to Bloore exhibits circular arcs as solitary profiles. We demonstrate the existence a
Externí odkaz:
http://arxiv.org/abs/1206.1589
Autor:
Domokos, G., Gibbons, G. W.
We propose a mathematical model which suggests that the two main geological observations about shingle beaches, i.e. the emergence of predominant pebble size ratios and strong segregation by size are interrelated. Our model is a based on a system of
Externí odkaz:
http://arxiv.org/abs/1109.5707
Autor:
Domokos, G., Gibbons, G. W.
A non-linear theory for the plastic deformation of prismatic bodies is constructed which interpolates between Prandtl's linear soap-film approximation and N\'adai's sand-pile model . Geometrically Prandtl's soap film and N\'adai's wavefront are unifi
Externí odkaz:
http://arxiv.org/abs/1109.3533