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作者:COSTA, DL; KELLER, GE
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作者:VOJTA, P
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作者:MCMULLEN, C
摘要:We show cusps are dense in Bers' boundary for Teichmuller space. The proof rests on an estimate for the algebraic effect of a unit quasiconformal deformation supported in the thin part of a hyperbolic Riemann surface.
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作者:DEJONG, T; VANSTRATEN, D
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作者:SJAMAAR, R; LERMAN, E
摘要:Let (M, omega) be a Hamiltonian G-space with proper momentum map J: M --> g*. It is well-known that if zero is a regular value of J and G acts freely on the level set J-1(0), then the reduced space M0 : = J-1(0)/G is a symplectic manifold. We show that if the regularity assumptions are dropped, the space M0 is a union of symplectic manifolds; i.e., it is a stratified symplectic space. Arms et al. [2] proved that M0 possesses a natural Poisson bracket. Using their result, we study Hamiltonian d...
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作者:GERSTEN, SM; SHORT, HB
摘要:Centralizers of finite subsets in biautomatic groups are themselves biautomatic. Every polycyclic subgroup of a biautomatic group is abelian by finite.
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作者:MATE, A; NEVAI, P; TOTIK, V
摘要:It is shown that the Christoffel functions arising from the Szego extremum problem associated with a finite positive Borel measure on the interval [-pi, pi] satisfy [GRAPHICS] whenever mu belongs to the Szego class; that is, log-mu' element-of L1. Some implications of this result are discussed.
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作者:STRADE, H
摘要:We investigate the structure of simple modular Lie algebras over an algebraically closed field of characteristic p > 7. If the distinguished subalgebra Q(L, T) with respect to an optimal torus T in some p-envelope L(p) of L equals L, then either L has a two-section of type H(2; 1; PHI(tau))(1) or L is of classical type.
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作者:BASS, RF; BURDZY, K
摘要:The boundary Harnack principle for the ratio of positive harmonic functions is shown to hold in twisted Holder domains of order alpha for alpha element-of (1/2, 1]. For each alpha-element-of (0, 1/2), there exists a twisted Holder domain of order alpha for which the boundary Harnack principle fails. Extensions are given to L-harmonic functions for uniformly elliptic operators L in divergence form.
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作者:CAPPELL, SE; SHANESON, JL