Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Petter Brändén"'
Autor:
Petter Brändén
Publikováno v:
Forum of Mathematics, Sigma, Vol 9 (2021)
We prove that projective spaces of Lorentzian and real stable polynomials are homeomorphic to Euclidean balls. This solves a conjecture of June Huh and the author. The proof utilises and refines a connection between the symmetric exclusion process in
Externí odkaz:
https://doaj.org/article/401680f6d934466ebbf353b30c0e1cde
Autor:
Petter Brändén, Madeleine Leander
Publikováno v:
Journal of Combinatorics. 11:391-412
We introduce and study s-lecture hall P-partitions which is a generalization of s-lecture hall partitions to labeled (weighted) posets. We provide generating function identities for s-lecture hall P-partitions that generalize identities obtained by S
Autor:
Petter Brändén, Liam Solus
Publikováno v:
International Mathematics Research Notices. 2021:7764-7798
In algebraic, topological, and geometric combinatorics, inequalities among the coefficients of combinatorial polynomials are frequently studied. Recently, a notion called the alternatingly increasing property, which is stronger than unimodality, was
Autor:
Petter Brändén, Katharina Jochemko
Eulerian polynomials are fundamental in combinatorics and algebra. In this paper we study the linear transformation $\mathcal{A} : \mathbb{R}[t] \to \mathbb{R}[t]$ defined by $\mathcal{A}(t^n) = A_n(t)$, where $A_n(t)$ denotes the $n$-th Eulerian pol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29d43fd8a8c9f805d5edd4d2119b2b13
http://arxiv.org/abs/2103.00890
http://arxiv.org/abs/2103.00890
We present a new lower bound on the number of contingency tables, improving upon and extending previous lower bounds by Barvinok and Gurvits. As an application, we obtain new lower bounds on the volumes of flow and transportation polytopes. Our proof
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2eaf0380d641261f58ed13a4fc1ca6a
http://arxiv.org/abs/2008.05907
http://arxiv.org/abs/2008.05907
Autor:
Petter Brändén, Nima Amini
Publikováno v:
Discrete Mathematics & Theoretical Computer Science.
The generalized Lax conjecture asserts that each hyperbolicity cone is a linear slice of the cone of positive semidefinite matrices. Hyperbolic polynomials give rise to a class of (hyperbolic) matroids which properly contains the class of matroids re
Autor:
Matthew Chasse, Petter Brändén
Publikováno v:
Journal d'Analyse Mathématique. 132:177-215
We characterize all linear operators which preserve spaces of entire functions whose zeros lie in a closed strip. Necessary and sufficient conditions are obtained for the related problem with real entire functions, and some classical theorems of de B
Autor:
Petter Brändén, Matthew Chasse
Publikováno v:
Proceedings of the American Mathematical Society. 143:5147-5158
McNamara and Sagan conjectured that if a0, a1, a2, . . . is a Polya frequency (PF) sequence, then so is (formula presented), . . .. We prove this conjecture for a natural class of PF-sequences whic ...
Autor:
Petter Brändén, Luca Moci
Publikováno v:
Discrete Mathematics and Theoretical Computer Science
Discrete Mathematics and Theoretical Computer Science (DMTCS)
24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), 2012, Nagoya, Japan. pp.661-672
Scopus-Elsevier
Discrete Mathematics and Theoretical Computer Science (DMTCS)
24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012), 2012, Nagoya, Japan. pp.661-672
Scopus-Elsevier
We introduce an arithmetic version of the multivariate Tutte polynomial recently studied by Sokal, and a quasi-polynomial that interpolates between the two. We provide a generalized Fortuin-Kasteleyn representation for representable arithmetic matroi
Autor:
Petter Brändén
Publikováno v:
American Journal of Mathematics. 136:241-253
We characterize linear operators preserving zero-restrictions on entire functions in weighted Bargmann-Fock spaces. This extends the characterization of linear operators on polynomials preserving stability (due to Borcea and the author) to the realm