A nonlinear Perron-Frobenius theoremProceedings of the American Mathematical Society - Tập 109 Số 2 - Trang 331-336
Robert Sine
If T T is a nonexpansive map on a domain in a finite-dimensional sup norm space
then there is a universal bound on the periods of periodic points. This yields
the same result for T T nonexpansive on a domain in a finite-dimensional Banach
space which has a polyhedral unit ball. Similar results are obtained for certain
nonexpansive maps defined on all of an infinite-dimensional L p {L_p} space with... hiện toàn bộ
Minimizing setups for cycle-free ordered setsProceedings of the American Mathematical Society - Tập 85 Số 4 - Trang 509-513
Dwight Duffus, Ivan Rival, Peter Winkler
A machine performs a set of jobs one at a time subject to a set of precedence
constraints. We consider the problem of scheduling the jobs to minimize the
number of "setups".
On the geometric interpretation of seminormalityProceedings of the American Mathematical Society - Tập 68 Số 1 - Trang 1-5 - 1978
Edward D. Davis
We give a new characterization of the property of seminormality for
1-dimensional local rings; and with the help of this result we develop
extensions of the theorems of Salmon and Bombieri which interpret this property
in terms of singularities of algebraic curves.
Star configuration points and generic plane curvesProceedings of the American Mathematical Society - Tập 139 Số 12 - Trang 4181-4192
Enrico Carlini, Adam Van Tuyl
Let ℓ 1 , … , ℓ l \ell _1,\ldots ,\ell _l be l l lines in P 2 \mathbb {P}^2 such
that no three lines meet in a point. Let X ( l ) \mathbb {X}(l) be the set of
points { ℓ i ∩ ℓ j | 1 ≤ i > j ≤ l } ⊆ P 2 \{\ell _i \cap \ell _j ~|~ 1 \leq
i > j \leq l\} \subseteq \mathbb {P}^2 . We call X ( l ) \mathbb {X}(l) a star
configuration. We describe all pairs ( d , l ) (d,l) such that the generic
degree... hiện toàn bộ
Remarks on the blow-up of solutions to a toy model for the Navier-Stokes equationsProceedings of the American Mathematical Society - Tập 137 Số 6 - Trang 2075-2083
Isabelle Gallagher, Marius Paicu
In a 2001 paper, S. Montgomery-Smith provides a one-dimensional model for the
three-dimensional, incompressible Navier-Stokes equations, for which he proves
the blow-up of solutions associated with a class of large initial data, while
the same global existence results as for the Navier-Stokes equations hold for
small data. In this paper the model is adapted to the cases of two and three
space dime... hiện toàn bộ
Lagrangian systems in the presence of singularitiesProceedings of the American Mathematical Society - Tập 102 Số 1 - Trang 125-130
A. Capozzi, Carlo Greco, Addolorata Salvatore
In this paper we study dynamical systems embedded in a conservative field of
forces, whose potential is "singular." We look for T T -periodic solutions of
these systems by variational methods.
Two integrals of RamanujanProceedings of the American Mathematical Society - Tập 85 Số 2 - Trang 192-194
Richard Askey
Two integrals of Ramanujan are evaluated.