共查询到20条相似文献,搜索用时 31 毫秒
1.
Genqian Liu 《Calculus of Variations and Partial Differential Equations》2013,47(3-4):567-588
In this paper, we obtain the sharp k-th order Sobolev inequalities in the hyperbolic space ${\mathbb{H}^n}$ for all k = 1, 2, 3, . . . . This gives an answer to an open question raised by Aubin in [Aubin, Princeton University Press, Princeton (1982), pp. 176–177] for ${W^{k,2}(\mathbb{H}^n)}$ with k > 1. In addition, we prove that the associated Sobolev constants are optimal. 相似文献
2.
Geoffrey S. Watson 《Annals of the Institute of Statistical Mathematics》1983,35(1):303-319
Summary A distribution on the unit sphere inℝ
q
with a densityf(‖x
v
‖) is considered where
is ans(<q) dimensional subspace andx
v
is the part ofx in
. For a large sample the estimation of
, a test that
and a test for rotational symmetry within
is given. For several samples with possibly different subspaces
but the samef, a test that
is given. For all tests power functions for contiguous alternatives are given. For the special density proportional to expk‖x
v
‖
2, additional results are given.
Research supported in part by a Contract with the Office of Naval Research N00014-81-K-0146 awarded to Princeton University,
Princeton, New Jersey 08544. 相似文献
3.
Hellmuth Kneser 《Archiv der Mathematik》1962,13(1):508-511
Ohne Zusammenfassung
Reinhold Baer zum 60. Geburtstag
Zusatz bei der Korrektur: Nachträglich bemerke ich, da\ C.Chevalley in seinem Buch Theory of Lie Groups (Princeton 1946) auf S. 94–98 die Frage der Abzählbarkeit in unserem Sinne bei analytischen Mannigfaltigkeiten mit analytischen Blätterungen behandelt hat. 相似文献
4.
The evaluation of the power of the parties of a Parliament is usually carried out following a static approach, counting their numbers of seats and possible ideological relations among them. In this paper we propose a dynamic model in which parties may blackmail each other in order to increase their power at the expense of others. This model may be solved in terms of the Bargaining Set (Aumann and Maschler in Advances in game theory. Princeton University Press, Princeton, 1964), a set valued solution, in contrast to the classical power indices that are point valued; so it may be used to check the robustness of a power division taking into account possible blackmailing activities. The paper is mainly based on the idea of proposing an existing instrument, the Bargaining Set, as power index to analyze this blackmailing situation. The computational complexity limits the possibility of applying it to real-world situations, but the possibility of making the computation easier is shown using some examples. 相似文献
5.
Daniele Bartolucci 《Journal of Geometric Analysis》2013,23(2):855-877
We answer a long-standing open question asked by Thurston (The Geometry and Topology of Three-Manifolds. Princeton University Press, Princeton, 1978) concerning the best pinching constant for conformal metrics on $\mathbb {S}^{2}$ with one and two conical singularities of angles 2π(1+α 1) and 2π(1+α 1),2π(1+α 2) in case α 1∈(?1,0) and ?1<α 1<α 2<0, respectively. The case of one conical singularity is a corollary of a result in Chen and Lin (Commun. Anal. Geom. 6(1):1–19, 1998) concerning the curvature of conformal metrics on ?2 with bounded Gaussian curvature 0<a≤K≤b<+∞. The case with two conical singularities is worked out by a generalization of that result. 相似文献
6.
D. K. Bhattacharya 《Optimization Letters》2012,6(2):331-338
The paper considers the effects of congestion and gear saturation in the harvesting of fishery model given by logistic type
of differential equation. It applies continuous dynamic control programming technique (Bellman in Dynamic programming, Princeton
University Press, Princeton, 1957; Bertsekas, Dynamic programming—deterministic and stochastic model, Princeton Hall, Englewood Cliffs, 1987) to maximize the net revenue obtained by nonlinear production function of Cobb-Douglas type. 相似文献
7.
Lester B. Lave 《CHANCE》2013,26(4):33-40
Abstract Small Worlds: The Dynamics of Networks Between Order and Randomness by Duncan J. Watts, Princeton: Princeton University Press, 1999. Reviewed by Noshir Contractor 相似文献
8.
Elena Mantovan 《Mathematische Annalen》2008,340(2):265-292
We investigate the notion of Igusa level structure for a one-dimensional Barsotti–Tate group over a scheme X of positive characteristic and compare it to Drinfeld’s notion of level structure. In particular, we show how the geometry
of the Igusa covers of X is useful for studying the geometry of its Drinfeld covers (e.g. connected and smooth components, singularities). Our results
apply in particular to the study of the Shimura varieties considered in Harris and Taylor (On the geometry and cohomology
of some simple Shimura varieties. Princeton University Press, Princeton, 2001). In this context, they are higher dimensional
analogues of the classical work of Igusa for modular curves and of the work of Carayol for Shimura curves. In the case when
the Barsotti–Tate group has constant p-rank, this approach was carried-out by Harris and Taylor (On the geometry and cohomology of some simple Shimura varieties.
Princeton University Press, Princeton, 2001). 相似文献
9.
In this paper, we prove several results on the geometry of surfaces immersed in \(\mathbb {R}^3\) with small or bounded \(L^2\) norm of \(|A|\) . For instance, we prove that if the \(L^2\) norm of \(|A|\) and the \(L^p\) norm of \(H\) , \(p>2\) , are sufficiently small, then such a surface is graphical away from its boundary. We also prove that given an embedded disk with bounded \(L^2\) norm of \(|A|\) , not necessarily small, then such a disk is graphical away from its boundary, provided that the \(L^p\) norm of \(H\) is sufficiently small, \(p>2\) . These results are related to previous work of Schoen–Simon (Surfaces with quasiconformal Gauss map. Princeton University Press, Princeton, vol 103, pp 127–146, 1983) and Colding–Minicozzi (Ann Math 160:69–92, 2004). 相似文献
10.
Paul E. Smith 《Natural Resource Modeling》1993,7(3):299-300
Life Cycles: Reflections of an Evolutionary Biologist, John Tyler Bonner, Princeton University Press, 41 William Street, Princeton, New Jersey, 08540, 1993, 209 pp., or UK: Princeton University Press, Chichester, West Sussex, ISBN 0-691-03319-6 相似文献
11.
We describe an explicit construction whicy, for some fixed absolute positive constant ε, produces, for every integers>1 and all sufficiently largem, a graph on at least
vertices containing neither a clique of sizes nor an independent set of sizem.
Part of this work was done at the Institute for Advanced Study, Princeton, NJ 08540, USA. Research supported in part by a
USA Israeli BSF grant, by a grant from the Israel Science Foundation and by the Hermann Minkowski Minerva Center for Geometry
at Tel Aviv University.
Research supported in part by a grant A1019901 of the Academy of Sciences of the Czech Republic and by a cooperative research
grant INT-9600919/ME-103 from the NSF (USA) and the MŠMT (Czech Republic). 相似文献
12.
We review the recent book authored by David L. Applegate, Robert E. Bixby, Vasěk Chvátal and William J. Cook, The traveling
salesman problem: a computational study, Princeton Series in Applied Mathematics. Princeton University Press 2007, Hardback
price $45.00 / £26.95, 606pp, ISBN 978-0-691-12993-8.
相似文献
13.
14.
In this paper, we characterize the strength of the predicative Frege hierarchy, , introduced by John Burgess in his book [J. Burgess, Fixing frege, in: Princeton Monographs in Philosophy, Princeton University Press, Princeton, 2005]. We show that and are mutually interpretable. It follows that is mutually interpretable with Q. This fact was proved earlier by Mihai Ganea in [M. Ganea, Burgess’ PV is Robinson’s Q, The Journal of Symbolic Logic 72 (2) (2007) 619–624] using a different proof. Another consequence of the our main result is that is mutually interpretable with Kalmar Arithmetic (a.k.a. EA, EFA, , Q3). The fact that interprets EA was proved earlier by Burgess. We provide a different proof.Each of the theories is finitely axiomatizable. Our main result implies that the whole hierarchy taken together, , is not finitely axiomatizable. What is more: no theory that is mutually locally interpretable with is finitely axiomatizable. 相似文献
15.
Phillips (J. Multivariate Anal. 16 (1985) 157) generalizes Cramer's (Mathematical Methods of Statistics, Princeton University Press, Princeton, NJ, 1946) inversion formula for the distribution of a quotient of two scalar random variables to the matrix quotient case. However, he gives the result for the asymmetric matrix quotient case. This note extends Phillips’ (1985) result to the symmetric matrix quotient case. 相似文献
16.
Karl Heinz Zimmermann 《Archiv der Mathematik》1992,59(5):513-520
This work was partially supported by the Fulbright commission, while the author was working at the Princeton University, Princeton NJ 08544, USA. 相似文献
17.
Let p∈[1,2) and α, ε>0 be such that α∈(p−1,1−ε). Let V, W be two Euclidean spaces. Let Ωp(V) be the space of continuous paths taking values in V and with finite p-variation. Let k∈N and be a Lip(k+α+ε) map in the sense of E.M. Stein [Stein E.M., Singular integrals and differentiability properties of functions, Princeton Mathematical Series, vol. 30, Princeton University Press, Princeton, NJ, 1970]. In this paper we prove that the Itô map, defined by I(x)=y, is a local map (in the sense of Fréchet) between Ωp(V) and Ωp(W), where y is the solution to the differential equation
18.
The shortest path games are considered in this paper. The transportation of a good in a network has costs and benefits. The problem is to divide the profit of the transportation among the players. Fragnelli et al. (Math Methods Oper Res 52: 251–264, 2000) introduce the class of shortest path games and show it coincides with the class of monotone games. They also give a characterization of the Shapley value on this class of games. In this paper we consider further five characterizations of the Shapley value (Hart and Mas-Colell’s in Econometrica 57:589–614, 1989; Shapley’s in Contributions to the theory of games II, annals of mathematics studies, vol 28. Princeton University Press, Princeton, pp 307–317, 1953; Young’s in Int J Game Theory 14:65–72, 1985, Chun’s in Games Econ Behav 45:119–130, 1989; van den Brink’s in Int J Game Theory 30:309–319, 2001 axiomatizations), and conclude that all the mentioned axiomatizations are valid for the shortest path games. Fragnelli et al. (Math Methods Oper Res 52:251–264, 2000)’s axioms are based on the graph behind the problem, in this paper we do not consider graph specific axioms, we take $TU$ axioms only, that is we consider all shortest path problems and we take the viewpoint of an abstract decision maker who focuses rather on the abstract problem than on the concrete situations. 相似文献
19.
We investigate read-once branching programs for the
following search problem: given a Boolean
m × n matrix with m > n, nd either an all-zero row, or two
1s in some column. Our primary motivation is that this models
regular resolution proofs of the pigeonhole principle
, and that for
m >
n
2
no lower bounds are known for the length of such proofs. We
prove exponential lower bounds (for arbitrarily large
m!) if we further restrict
this model by requiring the branching program
either to finish one row of
queries before asking queries about another row (the
row model)
or put the dual column
restriction (the column
model).Then we investigate a special class of resolution proofs
for
that operate with
positive clauses of rectangular shape; we call this fragment the
rectangular calculus. We show
that all known upper bounds
on the size of resolution proofs of
actually give rise to
proofs in this calculus and, inspired by this fact, also give a
remarkably simple rectangular reformulation of the
Haken–Buss–Turán lower bound for the case m
n
2. Finally
we show that the rectangular calculus is equivalent to the
column model on the one hand, and to transversal calculus on the other hand,
where the latter is a natural proof system for estimating from
below the transversal size of set families. In particular, our
exponential lower bound for the column model translates both to
the rectangular and transversal calculi.* Part of the work was done while this author was
visiting Special Year on Logic and Algorithms at DIMACS,
Princeton. Also supported by Russian Basic Research Foundation
grant 96-01-01222. Part of this work was done while on sabbatical
leave at the Institute for Advanced Study and Princeton
University, Princeton. This work was supported by USA-Israel BSF
grant 92-00106 and by a Wolfson research award administered by
the Israeli Academy of Sciences, as well as a Sloan Foundation
grant. This work was supported in part by National
Science Foundation and DARPA under grant CCR-9627819, and by
USA-Israel BSF grant 92-00106. 相似文献
20.
Summary Let
. We show that
. Our approach is based in the theory of tent spaces and an extension of Wolff's theorem for quasi-Branach spacesWork partially supported by NSF grant MCS 88108814(A03), while both authors were at the Institute for Advanced Study, Princeton. 相似文献