Canonical bases for cluster algebras

M Gross, P Hacking, S Keel, M Kontsevich - Journal of the American …, 2018 - ams.org
In an earlier work (Publ. Inst. Hautes Études Sci., 122 (2015), 65–168) the first three authors
conjectured that the ring of regular functions on a natural class of affine log Calabi–Yau …

Springer series in statistics

P Bickel, P Diggle, S Fienberg, U Gather, I Olkin… - Principles and Theory …, 2009 - Springer
The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

[图书][B] Convex functions and their applications

C Niculescu, LE Persson - 2006 - Springer
Convexity is a simple and natural notion which can be traced back to Archimedes (circa 250
BC), in connection with his famous estimate of the value of π (by using inscribed and …

[图书][B] Handbook of linear algebra

L Hogben - 2006 - books.google.com
The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

FI-modules and stability for representations of symmetric groups

T Church, JS Ellenberg, B Farb - Duke Mathematical Journal, 2015 - projecteuclid.org
In this paper we introduce and develop the theory of FI-modules. We apply this theory to
obtain new theorems about:• the cohomology of the configuration space of n distinct ordered …

Total positivity, Grassmannians, and networks

A Postnikov - arXiv preprint math/0609764, 2006 - arxiv.org
The aim of this paper is to discuss a relationship between total positivity and planar directed
networks. We show that the inverse boundary problem for these networks is naturally linked …

Eigenvalues, invariant factors, highest weights, and Schubert calculus

W Fulton - Bulletin of the American Mathematical Society, 2000 - ams.org
We describe recent work of Klyachko, Totaro, Knutson, and Tao that characterizes
eigenvalues of sums of Hermitian matrices and decomposition of tensor products of …

[图书][B] Momentum maps and Hamiltonian reduction

JP Ortega, TS Ratiu - 2013 - books.google.com
The use of the symmetries of a physical system in the study of its dynamics has a long
history that goes back to the founders of c1assical mechanics. Symmetry-based tech niques …

A Littlewood-Richardson rule for the K-theory of Grassmannians

AS Buch - 2002 - projecteuclid.org
Let X= Gr (d, C n) be the Grassmann variety of d-dimensional subspaces of C n. The goal of
this paper is to give an explicit combinatorial description of the Grothendieck ring K~ of …

The dominant eigenvector of a noisy quantum state

B Koczor - New Journal of Physics, 2021 - iopscience.iop.org
Although near-term quantum devices have no comprehensive solution for correcting errors,
numerous techniques have been proposed for achieving practical value. Two works have …