The list of publications of Ákos G.Horváth
Citations: http://mycite.omikk.bme.hu/search/slist.php?lang=0&AuthorID=10002880
Books, Lecture notes
1. A nemeuklideszi geometriák modelljei (in common with Jenő Szirmai) Typotex (2004), 125 pages.
2.
Kombinatorikus geometria (in
common with Zsolt Lángi) Polygon
(2011), 146 pages.
3. On the connection of bases of n-lattices, reduced by Minkowski and reduced by Hermite. "First conference of program designers", Budapest, ELU (1985), 67–72.
4. On the basis reduction problem. "Second conference of program designers ", Budapest , ELU (1986), 117–122.
5. On the nearest latticepoint problem."Geometrie und Anwendungen", 7. Tagung (Holzhau) Berlin Mathematische Gesellschaft der DDR (1989), 55–56.
6. On the number of the minima of N-lattices. Colloquia Math. Soc. J. Bolyai 63. Intuitive Geometry , Szeged (Hungary), (1991), 161–172.
7. Lower bounds of the maximal coordinates of minimum vectors. 4th International Congress of Geometry, Congress Proceedings, Thessaloniki (1996), 179–187.
Papers in Journals
8. Az n-dimenziós
rácsok Minkowski és Hermite bázisairól.
Mat. Lapok 33 (1982-1986), 93–98.
9. On a polynomial algorithm for
selecting a lattice-basis containing a given primitive system. Studia Sci. Math. Hung. 24 (1989),
325–329.
10. Algebraic characterization of
primitive systems. Studia Sci. Math. Hungar. 24 (1989), 331–337.
11. On double-latticelike
spherepacking. Annales
Univ. Sci. Budapest 33 (1990), 53–60.
12. On a question of K.Bezdek
and T.Ódor. Period. Math. Hung. 24
(1992), 189–192.
13. Codes and lattices. Period. Pol.
Ser. Mech. Engrg. 36 (3-4) (1992),
251–264.
14. Some remarks connected with G.Csoka's paper "On an extremal
property of Minkowski-reduced forms. Studia Sci. Math. Hungar.
29 (1994), 67–70.
15. Densest ball packing by orbits of
the 10 fixed point free Euclidean space groups (in common with Emil Molnár). Studia Sci.
Math. Hungar. 29 (1994), 9–23.
16. On the coordinates of minimum
vectors in N-lattices. Studia Sci. Math.
Hungar. 29 (1994), 169–175.
17. On Dirichlet-Voronoi
cell. {Part I. Classical problems} Period. Pol. Ser Mech. Engrg. 39 (1995), 25–42.
18. On the sublattices
of the Barnes-Wall lattice. Period. Math. Hungar. 31(2) (1995), 131–138.
19. On a problem connected with the
weight distribution of the Reed-Muller code of order r. Annales
Univ. Sci. Budapest 38 (1995),
171–176.
20. On the Dirichlet-Voronoi
cells of the unimodular lattices. Geometriae
Dedicata 63 (1996), 183–191.
21. On the dissections of a centrally
symmetric hexagon. Bolyai Soc.
Mathematical Studies, 6. Intuitive Geometry, Budapest 1995 (1997),
327–334.
22. Correction of my paper "On
double-latticelike spherepacking".
Annales Univ. Sci. Math. 39 (1996),
101–105.
23. Extremal polygons with minimal perimeter. 3rd
Geometry Festival, Congress Proceedings, Period. Math. Hungar.
34(1-2) (1997), 81–90.
24. On Dirichlet-Voronoi
cell. {Part II. Diagrams} Per. Pol. Ser Mech. Eng. 41/2 (1997),
95–117.
25. On the boundary of an extremal body. Beiträge
zur Geometrie und Algebra
40/2 (1999), 331–342.
26. On the bisectors of a Minkowski normed space. Acta
Math. Hungar. 89(3) (2000),
417–424.
27. Packing congruent bricks into a cube
(in common with István Prok). J. Geom. Graph. 5(1) (2001), 1-11.
28. Skew lines in hyperbolic space. Per.
Pol. Ser Mech. Eng. 47/1 (2003), 25–31.
29. On the second-order Reed-Muller
code. Per. Poly. ser Mech. Eng. 47/1 (2003),
31–41.
30. Polygons with equal angles in the
hyperbolic plane (in common with Imre Vermes). Studies
of the University of Zilina 16/1 (2003),
47–51.
31. Bisectors in Minkowski
3-space. Beiträge zur
Geometrie und Algebra 45/1 (2004)
225–238.
32. On the connection between the
projection and the extension of a parallelotope. Monatshefte für Mathematik 150 (2007), 211–216.
33.
On
the existence of polygons with equal angles (in common with Attila Bölcskei). Acta Sci.
Math. 73 (2007) 283–295.
34. Maximal convex hull of connecting simplices. Studies of the University of Zilina 22/1 (2008) 7-19.
35. On the shadow boundary of a centrally symmetric convex body. Beitrage zur Geometrie und Algebra 50/1 (2009) 219-233.
36. Semi-indefinite inner product and generalized Minkowski spaces. Journal
of Geometry and Physics 60 (2010) 1190-1208.
37. Packing points into a unit cube
in higher space. Studies of the University of Zilina . 24/1
(2010) 23-29.
38. Triangle in a brick.
Studies of the University of Zilina . 24/1 (2010) 29-35.
39. Formulas on hyperbolic
volume. Aequationes Mathematicae, (2011) DOI:
10.1007/s00010-011-0100-32011, 83/1
(2012) 97-116.
40. Projection pencils of quadrics and Ivory's theorem. Journal
of Geometry (2011) DOI:
10.1007/s00022-011-0095-x, 102/1
(2011) 85-101.
41. Conics in normed planes. (in common with H.Martini) Extracta Math. 26/1 (2011) 29-43.
42. Premanifolds. Note di Matematica 31/2 (2011) 17-51.
Dissertations
43. Konstruktiv módszerek a rácsgeometriában. Thesis for Doctor of Natural Sciences,1987.
44. N-rácsok minimális vektorai. Thesis for Candidate of Mathematical Sciences, 1993.
45. Bounded representation and radial projections of bisectors in normed
spaces. (in common with H.Martini) Roucky Montain J. Math. (2010)
Submitted papers
46. Malfatti's problem on the hyperbolic plane (2012) http://arxiv.org/abs/1204.5014
47. Normally distributed probability measure on the metric space of norms.(2012) http://arxiv.org/abs/1105.3809