Freely Independent Coin Tosses, Standard Young Tableaux, and the Kesten–McKay Law
نویسندگان
چکیده
In this article, we shall start with a closed walk on regular tree of degree d. These walks are described by the Kesten–McKay law which arises as asymptotic distribution random d-regular graph n vertices. We will show that moments given counting standard Young tableaux at most two rows, and how some properties make sense even when d is not an integer. use free probability to instruct us about build explicit model in matrix theory.
منابع مشابه
Coin tosses
We’ll use a statistical model of the problem to motivate a prediction strategy, as well as to evaluate the quality of various strategies. In this model, the outcome of the coin toss is random; it is “heads” with some probability, say, p; and it is “tails” with the remaining probability 1 − p. We’ll encode “heads” by 1, and “tails” by 0, so the outcome is a random variable Y . The number p is a ...
متن کاملCoin tosses
We’ll use a statistical model of the problem to motivate a prediction strategy, as well as to evaluate the quality of various strategies. In this model, the outcome of the coin toss is random; it is “heads” with some probability, say, p; and it is “tails” with the remaining probability 1− p. This number p is a parameter of the model; the possible values it can taken on, namely the interval [0, ...
متن کاملPolygon Dissections and Standard Young Tableaux
A simple bijection is given between dissections of a convex n gon with d diagonals not intersecting in their interiors and standard Young tableaux of shape d d n d Partially supported by National Science Foundation grant DMS For d n let f n d be the number of ways to draw d diagonals in a convex n gon such that no two diagonals intersect in their interior For instance f n n is just the Catalan ...
متن کاملStandard Young tableaux and colored Motzkin paths
In this paper, we propose a notion of colored Motzkin paths and establish a bijection between the n-cell standard Young tableaux (SYT) of bounded height and the colored Motzkin paths of length n. This result not only gives a lattice path interpretation of the standard Young tableaux but also reveals an unexpected intrinsic relation between the set of SYTs with at most 2d+ 1 rows and the set of ...
متن کاملStandard Young tableaux for nite root systems
The study of representations of aane Hecke algebras has led to a new notion of shapes and standard Young tableaux which works for the root system of any nite Coxeter group. This paper is completely independent of aane Hecke algebra theory and is purely combinatorial. We deene generalized shapes and standard Young tableaux and show that these new objects coincide with the classical ones for root...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: American Mathematical Monthly
سال: 2022
ISSN: ['1930-0972', '0002-9890']
DOI: https://doi.org/10.1080/00029890.2022.2128615