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We study the back stable Schubert calculus of the infinite flag variety. Our main results are: 1) a formula for back stable (double) Schubert classes expressing them in terms of a symmetric function part and a finite part; 2) a novel…

Combinatorics · Mathematics 2021-07-01 Thomas Lam , Seung Jin Lee , Mark Shimozono

We discuss some aspects of a new noncombinatorial fermionic approach to the two-dimensional dimer problem in statistical mechanics based on the integration over anticommuting Grassmann variables and factorization ideas for dimer density…

Statistical Mechanics · Physics 2007-05-23 R. Hayn , V. N. Plechko

We introduce the notion of a generalized intersection pairing for an Artin stack with a proper good moduli space and nonempty stable part. For the moduli stack of semistable bundles over a smooth projective curve, there are four known…

Algebraic Geometry · Mathematics 2025-11-19 Chenjing Bu , Young-Hoon Kiem

We introduce the framework of path-complete graph Lyapunov functions for approximation of the joint spectral radius. The approach is based on the analysis of the underlying switched system via inequalities imposed among multiple Lyapunov…

Optimization and Control · Mathematics 2014-08-26 Amir Ali Ahmadi , Raphaël Jungers , Pablo A. Parrilo , Mardavij Roozbehani

An additive map $T$ acting between spaces of vector-valued functions is said to be biseparating if $T$ is a bijection so that $f$ and $g$ are disjoint if and only if $Tf$ and $Tg$ are disjoint. Note that an additive bijection retains…

Functional Analysis · Mathematics 2020-09-25 Xianzhe Feng , Denny H. Leung

The existence of translated curves for quasiperiodically forced maps is established, under very mild regularity hypotheses, for rotation numbers of constant type. Among the translated curves, the invariant curves are characterized as the…

Dynamical Systems · Mathematics 2026-03-31 Amadeu Delshams , Rafael Ortega

We construct `structure invariants' of a one-ended, finitely presented group that describe the way in which the factors of its JSJ decomposition over two-ended subgroups fit together. For groups satisfying two technical conditions, these…

Group Theory · Mathematics 2017-04-07 Christopher H. Cashen , Alexandre Martin

Quasisymmetric functions have recently been used in time series analysis as polynomial features that are invariant under, so-called, dynamic time warping. We extend this notion to data indexed by two parameters and thus provide warping…

Combinatorics · Mathematics 2024-10-10 Joscha Diehl , Leonard Schmitz

The authors define a class of functions on Riemannian manifolds, which is called geodesic semilocal E-preinvex functions, as a generalization of geodesic semilocal E-convex and geodesic semi E-preinvex functions and some of its properties…

Differential Geometry · Mathematics 2018-08-29 Adem Kiliçman , Wedad Saleh

In this note we describe solutions of the equation: $F(A(z))=G(B(z)),$ where $A,B$ are polynomials and $F,G$ are continuous functions on the Riemann sphere.

Complex Variables · Mathematics 2019-05-01 Fedor Pakovich

We define a version of stable maps into the classifying stack $B\mathrm{GL}_N$, and develop a corresponding notion of $K$-theoretic Gromov-Witten invariants. In this setting, the evaluation morphisms are not of finite type; the definition…

Algebraic Geometry · Mathematics 2025-11-18 Daniel Halpern-Leistner , Andres Fernandez Herrero

In analogy to Neuberger's double-pass algorithm for the Conjugate Gradient inversion with multi-shifts we introduce a double-pass variant for BiCGstab(ell). One possible application is the overlap operator of QCD at non-zero chemical…

High Energy Physics - Lattice · Physics 2011-01-27 Simon Heybrock

We study the intersection theory on the moduli spaces of maps of $n$-pointed curves $f:(C,s_1,... s_n)\to V$ which are stable with respect to a weight data $(a_1,..., a_n)$, $0\le a_i\le 1$. After describing the structure of these moduli…

Algebraic Geometry · Mathematics 2007-11-13 Valery Alexeev , G. Michael Guy

We study the spin-1 bilinear-biquadratic model on the complete graph of N sites, i.e., when each spin is interacting with every other spin with the same strength. Because of its complete permutation invariance, this Hamiltonian can be…

Statistical Mechanics · Physics 2018-02-13 Dávid Jakab , Gergely Szirmai , Zoltán Zimborás

In this paper, we investigate the $L^p$ bilinear quasimode estimates on compact Riemannian manifolds. We obtain results in the full range $p\ge2$ on all $n$-dimensional manifolds with $n\ge2$. This in particular implies the $L^p$ bilinear…

Analysis of PDEs · Mathematics 2018-08-20 Zihua Guo , Xiaolong Han , Melissa Tacy

The Schur functions, a basis for the symmetric polynomials (Sym), encode the irreducible representations of the symmetric group, $\mathfrak{S}_n$, via the Frobenius characteristic map. In 1996, Krob and Thibon defined a quasisymmetric…

Combinatorics · Mathematics 2024-05-20 Angela Hicks , Samantha Miller-Brown

Explicit form of two-point and three-point Sp(2M) invariant Green functions is found.

High Energy Physics - Theory · Physics 2010-04-05 M. A. Vasiliev , V. N. Zaikin

We introduce a dual Zariski topology on the spectrum of fully coprime $R$-submodules of a given duo module $M$ over an associative (not necessarily commutative) ring $R$. This topology is defined in a way dual to that of defining the…

Rings and Algebras · Mathematics 2010-07-29 Jawad Y. Abuhlail

In this paper we propose a subgradient algorithm for solving the equilibrium problem where the bifunction may be quasiconvex with respect to the second variable. The convergence of the algorithm is investigated. A numerical example for a…

Optimization and Control · Mathematics 2019-11-04 Le Hai Yen , Le Dung Muu

In this paper, considering the Eichler-Shimura cohomology theory for Jacobi forms, we study connections between harmonic Maass-Jacobi forms and Jacobi integrals. As an application we study a pairing between two Jacobi integrals, which is…

Number Theory · Mathematics 2014-12-30 Dohoon Choi , Subong Lim