A generalised Euler-Poincaré formula for associahedra
نویسندگان
چکیده
منابع مشابه
Multidimensional Euler – Poincaré equations 1
Given a Lagrangian L : J 1 P → R, with P = M × G → M, invariant under the natural action of G on J 1 P, we deduce the analog of the Euler–Poincaré equations. The geometry of the reduced variational problem as well as its link with the Noether Theorem and an example are also given.
متن کاملA Formula for the Euler Characteristic Of
In this paper we compute the generating function for the Euler characteristic of the Deligne-Mumford compactification of the moduli space of smooth n-pointed genus 2 curves. The proof relies on quite elementary methods , such as the enumeration of the graphs involved in a suitable stratification of M 2,n .
متن کاملEuler - Poincaré formulation of hybrid plasma models
Several different hybrid Vlasov-fluid systems are formulated as Euler-Poincaré systems and compared in the same framework. In particular, the discussion focuses on three major hybrid MHD models. These are the current-coupling scheme and two different variants of the pressurecoupling scheme. The Kelvin-Noether theorem is presented explicitly for each scheme, together with the Poincaré invariants...
متن کاملEuler - Maclaurin Formula
a Bk({1− t}) k! f (t)dt where a and b are arbitrary real numbers with difference b − a being a positive integer number, Bn and bn are Bernoulli polynomials and numbers, respectively, and k is any positive integer. The condition we impose on the real function f is that it should have continuous k-th derivative. The symbol {x} for a real number x denotes the fractional part of x. Proof of this th...
متن کاملJacobi–trudy Formula for Generalised Schur Polynomials
X iv :0 90 5. 25 57 v2 [ m at h. R T ] 1 0 Ju n 20 09 JACOBI–TRUDY FORMULA FOR GENERALISED SCHUR POLYNOMIALS A.N. SERGEEV AND A.P. VESELOV Abstract. Jacobi–Trudy formula for a generalisation of Schur polynomials related to any sequence of orthogonal polynomials in one variable is given. As a corollary we have Giambelli formula for generalised Schur polynomials.
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: Bulletin of the London Mathematical Society
سال: 2018
ISSN: 0024-6093
DOI: 10.1112/blms.12221