Zobrazeno 1 - 10
of 149
pro vyhledávání: '"Blagojević, Pavle"'
A decade ago two groups of authors, Karasev, Hubard and Aronov, and Blagojevi\'c and Ziegler, have shown that the regular convex partitions of a Euclidean space into $n$ parts yield a solution to the generalised Nandakumar and Ramana-Rao conjecture w
Externí odkaz:
http://arxiv.org/abs/2305.10711
In this paper, extending the recent work of authors with Calles Loperena and Dimitrijevi\'c Blagojevi\'c, we give a general and complete treatment of a problem of partition of mass assignments with prescribed arrangements of hyperplanes on Euclidean
Externí odkaz:
http://arxiv.org/abs/2303.01085
Autor:
Blagojević, Pavle V. M., Loperena, Jaime Calles, Crabb, Michael C., Blagojević, Aleksandra S. Dimitrijević
In this paper, motivated by recent work of Schnider and Axelrod-Freed \& Sober\'on, we study an extension of the classical Gr\"unbaum--Hadwiger--Ramos mass partition problem to mass assignments. Using the Fadell--Husseini index theory we prove that f
Externí odkaz:
http://arxiv.org/abs/2208.00666
In this paper, motivated by the work of Edelman and Strang, we show that for fixed integers $d\geq 2$ and $n\geq d+1$ the configuration space of all facet volume vectors of all $d$-polytopes in $\mathbb R^{d}$ with $n$ facets is a full dimensional co
Externí odkaz:
http://arxiv.org/abs/2112.08437
Autor:
Blagojević, Pavle V. M., Cohen, Frederick R., Crabb, Michael C., Lück, Wolfgang, Ziegler, Günter M.
The equivariant cohomology of the classical configuration space $F(\mathbb{R}^d,n)$ has been been of great interest and has been studied intensively starting with the classical papers by Artin (1925/1947) on the theory of braids, by Fox and Neuwirth
Externí odkaz:
http://arxiv.org/abs/2004.12350
The classical 1966 theorem of Tverberg with its numerous variations was and still is a motivating force behind many important developments in convex and computational geometry as well as the testing ground for methods from equivariant algebraic topol
Externí odkaz:
http://arxiv.org/abs/1905.07715
Autor:
Blagojević, Pavle V. M., Blagojević, Aleksandra Dimitrijević, Karasev, Roman, Kliem, Jonathan
Publikováno v:
Discrete and Computational Geometry 67 (2022), 33--64
A union of an arrangement of affine hyperplanes $H$ in $R^d$ is the real algebraic variety associated to the principal ideal generated by the polynomial $p_{H}$ given as the product of the degree one polynomials which define the hyperplanes of the ar
Externí odkaz:
http://arxiv.org/abs/1809.05364
The amplituhedra arise as images of the totally nonnegative Grassmannians by projections that are induced by linear maps. They were introduced in Physics by Arkani-Hamed \& Trnka (Journal of High Energy Physics, 2014) as model spaces that should prov
Externí odkaz:
http://arxiv.org/abs/1806.00827
Publikováno v:
SIGMA 16 (2020), 022, 33 pages
We provide lower bounds on the number of periodic Finsler billiard trajectories inside a quadratically convex smooth closed hypersurface $M$ in a $d$-dimensional Finsler space with possibly irreversible Finsler metric. An example of such a system is
Externí odkaz:
http://arxiv.org/abs/1712.07930