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We will discuss the existence of blowup solutions to $u_t=\Delta u+|u|^\frac{4}{n-2}u-|u|^{q-1}u$ with $0ee kinds of blowup solutions in this equation. I...
We use Young’s raising operators to introduce and study double theta polynomials, which specialize to both the theta polynomials of Buch, Kresch, and Tamvakis, and to double (or factorial) Schur S-p...
We use Young’s raising operators to introduce and study double eta polynomials, which are an even orthogonal analogue of Wilson’s double theta polynomials. Our double eta polynomials give Giambelli ...
We propose a theory of double Schubert polynomials Pw(X;Y ) for the Lie types B, C, D which naturally extends the family of Lascoux and Schutzen Ä berger in type A. These polynomials satisfy po...
We define the dimension 2g − 1 Faber-Hurwitz Chow/homology classes on the moduli space of curves, parametrizing curves expressible as branched covers of P 1 with given ramification...
Double Hurwitz numbers count branched covers of CP1 with fixed branch points, with simple branching required over all but two points 0 and ∞, and the branching over 0 and ∞ specified by ...
Double Hurwitz numbers count branched covers of CP1 with fixed branch points, with simple branching required over all but two points 0 and ∞, and the branching over 0 and ∞ specified by ...
This paper provides some background to the theory of operads, used in the first author's papers on 2d topological field theory (hep-th/921204, CMP 159 (1994), 265-285; hep-th/9305013). It is intended ...
n-double图的连通性     n-double图  连通性  超连通性       2013/10/17
设G1=(V1, E1), G2=(V2, E2)是两个连通图,直积(direct product)(也称为Kronecker product,tensor product 和cross product)G1G2的点集为 V(G1G2)=V(G1)V(G2),边集为E(G1G2) = {(u1,v1)(u2, v2): u1u2 ∈ E(G1),v1v2 ∈E(G2)}.简单图G的 n-doubl...
A numerical analysis has been carried out to study the problem of plane stagnation double-diffusive MHD convective flow with convective boundary condition in a porous media. The governing nonlinear pa...
We consider the Mahler measure of the polynomial 1+x_1+x_2+x_3+x_4, which is the first case not yet evaluated explicitly. A conjecture due to F. Rodriguez-Villegas represents this Mahler measure as a ...
We study a two-player zero-sum stochastic differential game with both players adopting impulse controls, on a finite time horizon. The Hamilton-Jacobi-Bellman-Isaacs (HJBI) partial differential equati...
Let A be the adjacency matrix of a graph $X$ and suppose U(t)=exp(itA). We view A as acting on $\cx^{V(X)}$ and take the standard basis of this space to be the vectors $e_u$ for $u$ in $V(X)$. Physici...
We construct a family of integrable Hamiltonian systems parametrized by pairs of Coxeter elements in the affine Weyl group. Their phase spaces are double Bruhat cells in the corresponding Kac-Moody gr...

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