The height distribution in root systems
Combinatorics
2018-01-01 v1
Authors:
Gennadiy Ilyuta
Abstract
We prove several formulas for the distribution of positive roots.
Cite
@article{arxiv.1712.10124,
title = {The height distribution in root systems},
author = {Gennadiy Ilyuta},
journal= {arXiv preprint arXiv:1712.10124},
year = {2018}
}
Comments
in Russian
Related papers
View all related →
Rings and Algebras · Mathematics
A characterization of root systems from the viewpoint of denominator formulae
Hiroki Aoki, Hiraku Kawanoue
2025-06-17
Rings and Algebras · Mathematics
Roots of polynomials over division rings
Alina G. Goutor, Sergey V. Tikhonov
2024-03-19
Combinatorics · Mathematics
Transmission of perfect trees and rooted powers of graphs
Nicolás Cianci
2019-07-02
Number Theory · Mathematics
Distribution of rational points on toric varieties: All the heights
Arda Huseyin Demirhan, Ramin Takloo-Bighash
2022-10-11
Probability · Mathematics
The Complex Roots of Random Sums
Robert J. Vanderbei
2016-08-04
General Mathematics · Mathematics
The square root theorem for positive semidefinite matrices and their monotonicity
Mohamed Amine Aouichaoui, Mohammed Hichem Mortad
2023-06-21
Complex Variables · Mathematics
Distribution of zeros of polynomials with positive coefficients
Alexandre Eremenko, Walter Bergweiler
2018-01-08
Complex Variables · Mathematics
The root distribution of polynomials with a three-term recurrence
Khang Tran
2016-01-19
Combinatorics · Mathematics
Lengths of paths in rooted trees
Keith Copenhaver
2018-10-03
Combinatorics · Mathematics
Joint distribution of rises, falls, and number of runs in random sequences
Yong Kong
2024-05-06
Classical Analysis and ODEs · Mathematics
Questions about determinants and polynomials
Steve Fisk
2008-08-14
Probability · Mathematics
The distribution of height and diameter in random non-plane binary trees
Nicolas Broutin, Philippe Flajolet
2012-11-12
Classical Analysis and ODEs · Mathematics
The spectral set conjecture and multiplicative properties of roots of polynomials
I. Laba
2007-05-23
Number Theory · Mathematics
Counting polynomials over finite fields with given root multiplicities
Ayah Almousa, Melanie Matchett Wood
2012-10-03
Number Theory · Mathematics
Statistical distribution of roots of a polynomial modulo primes
Yoshiyuki Kitaoka
2017-06-28
Combinatorics · Mathematics
Root geometry of polynomial sequences III: Type $(1,1)$ with positive coefficients
David G. L. Wang, Jiarui Zhang
2017-12-19
Number Theory · Mathematics
On numbers $n$ dividing the $n$th term of a linear recurrence
Juan Jose Alba Gonzalez, Florian Luca, Carl Pomerance, Igor Shparlinski
2011-02-02
Probability · Mathematics
Law of Large Numbers for Roots of Finite Free Multiplicative Convolution of Polynomials
Katsunori Fujie, Yuki Ueda
2023-01-18
Machine Learning · Statistics
Probability Distribution on Full Rooted Trees
Yuta Nakahara, Shota Saito, Akira Kamatsuka, Toshiyasu Matsushima
2022-03-24
Probability · Mathematics
A general expression for the distribution of the maximum of a Gaussian field and the approximation of the tail
Jean-Marc Azaïs Mario Wschebor
2016-08-16
Probability · Mathematics
On the re-rooting invariance property of Levy trees
Thomas Duquesne, Jean-Francois Le Gall
2009-02-24
Number Theory · Mathematics
What is the height of two points in the plane?
Jesse Leo Kass, Frank Thorne
2022-09-28
Mathematical Physics · Physics
Applications of the Thick Distributional Calculus
Yunyun Yang, Ricardo Estrada
2014-02-11
Physics and Society · Physics
Generalised central limit theorems for growth rate distribution of complex systems
Misako Takayasu, Hayafumi Watanabe, Hideki Takayasu
2015-06-12
Classical Analysis and ODEs · Mathematics
An efficient algorithm for positive realizations
Wojciech Czaja, Philippe Jaming, Maté Matolcsi
2009-09-29