共查询到20条相似文献,搜索用时 875 毫秒
1.
We establish inequalities for Green functions of Dini-smooth Jordan domains in R2.We give a version of the 3G theorem for these domains. With the help of these results, we prove comparison theorems between the Green kernel of and the Green kernel of – where is a nonnegative Radon measure. 相似文献
2.
E. Loubeau 《Annals of Global Analysis and Geometry》1997,15(6):487-496
In this article we consider a certain class of mappings between Riemannian manifolds of the type M × R+
*, which preserve two objects associated to the heat equation. First we show that maps which pull back local solutions of the heat equation to local solutions of the heat equation, called heat equation morphisms have to be the product of a homothetic submersion and an affine map of R+
*. Then using the above characterisation, we study maps which pull back the heat kernel to the heat kernel. We call such maps heat kernel morphisms. We show in Theorem 3 that, in the case of compact manifolds, a map : M × M × R+
* N × N × R+
* of the form (x,y,t) = ( (x), (y),h(t)), with surjective, is a heat kernel morphism if and only if is a homothetic covering of N()-sheets and constant dilation such that N() = m (m = dim M) and h(t) = 2t. In particular, if is bijective then it must be an isometry and h(t) = t. A similar problem was considered from a different point of view in [6]. 相似文献
3.
A spatially nonhomogeneous random walk t on the grid =m X n is considered. Let t
0 be a random walk homogeneous in time and space, and let t be obtained from it by changing transition probabilities on the set A= X n, || < , so that the walk remains homogeneous only with respect to the subgroup n of the group . It is shown that if >m 2 or the drift is distinct from zero, then the central limit theorem holds for t. 相似文献
4.
It is proved that if S, T are two elliptic Dirichlet operators on an ordered Hilbert space such that the excessive (resp. coexcessive) elements with respect to S and T are the same then there exists > 0 with T = S. Particularly if , are two elliptic Dirichlet forms on L2 ( ) having the same domain of definition and the same -excessive (resp. -coexcessive) elements for any > 0 then = . 相似文献
5.
Let be a locally compact amalgam of compact groups. We use the action of on a suitable tree to study all random walks on which can be described as nearest neighbour random walks on the tree. In particular, we derive the asymptotic behaviour ofn-step transition probabilities.The second author was partially supported by CNR-research fellowship No. 212.223. 相似文献
6.
E. Breuillard 《Geometric And Functional Analysis》2005,15(1):35-82
We prove local limit theorems for products of independent random variables on the Heisenberg group which are identically distributed with respect to an arbitrary centered and compactly supported probability measure . We also provide uniform estimates for translates of a bounded set by comparing n to the associated heat kernel. This, in turn, enables us to show the equidistribution of Heisenberg-unipotent random walks on finite volume homogeneous spaces G / .Submitted: October 2003 Revision: November 2004 Accepted: November 2004 相似文献
7.
D. V. Leladze 《Analysis Mathematica》1991,17(4):281-295
n- (n1) fL
p
([–, ]
n
),=1 = (L
C) . , , f([–, ]
n
). 相似文献
8.
Renata Grimaldi 《Geometriae Dedicata》2000,79(3):229-238
We show that on a noncompact manifold which has finite topology at infinity, there exists a Riemannian metric with bounded geometry and linear growth-type. 相似文献
9.
Michael Voit 《Monatshefte für Mathematik》1992,113(1):59-74
We derive strong laws of large numbers for birth and death random walks and random walks on polynomial hypergroups for which the coefficients of the three-term-recurrence formula of the associated orthogonal polynomials satisfy lim
n
n
a (a
n-cn)= wherea]0, 1[ and >0. We also present these laws for random walks on Sturm-Liouville hypergroups on + for which a corresponding asymptotic condition holds. Our paper supplements articles ofVoit [9] andZeuner [14] in which the casesa=0 anda=1 are considered.This paper was written at Murdoch University in Western Australia while the author held a Feodor Lynen fellowship of the Alexander von Humboldt foundation. 相似文献
10.
Domenico Perrone 《Monatshefte für Mathematik》1992,114(3-4):245-259
Contact Riemannian manifolds (M, ,g) satisfying the condition (1) =0, where is the torsion introduced byChern andHamilton [6] and is the characteristic vector field, have interesting geometric properties (see [6], [9], [11]). In this paper we give a variational characterization of compact contact Riemannian manifolds which satisfy (1). Moreover we study the tangent sphere bundles (T
1
M, , g), where (,g) is the standard contact Riemannian structure, which satisfy the condition (1); in particular in the 3-dimensional case we find a surprising result (see Corollary 5.3).Supported by funds of the M.U.R.S.T. 相似文献
11.
We show that a closed 4-dimensional simply connected topological manifoldM admits a differentiable structure with aC
Riemannian metric whose geodesic flow has zero topological entropy if and only ifM is homeomorphic toS
4, 2,S
2×S
2,
or 2#2. 相似文献
12.
L. Leindler 《Analysis Mathematica》1994,20(2):95-106
[3] , >0 n
–
a
n
, . , . . , .
This research was partially supported by the Hungarian National Foundation for Scientific Research under Grant #234. 相似文献
This research was partially supported by the Hungarian National Foundation for Scientific Research under Grant #234. 相似文献
13.
The purpose of this paper is to study singularities of the Bergman kernel at the boundary for pseudoconvex domains of finite type from the viewpoint of the theory of singularities. Under some assumptions on a domain in
n+1
, the Bergman kernel B(z) of takes the form near a boundary point p:
where (w,) is some polar coordinates on a nontangential cone with apex at p and means the distance from the boundary. Here admits some asymptotic expansion with respect to the variables 1/
m
and log(1/) as 0 on . The values of d
F
>0, m
F
+ and m are determined by geometrical properties of the Newton polyhedron of defining functions of domains and the limit of as 0 on is a positive constant depending only on the Newton principal part of the defining function. Analogous results are obtained in the case of the Szegö kernel.
Mathematics Subject Classification (2000):32A25, 32A36, 32T25, 14M25. 相似文献
14.
Janet Heine Barnett 《Periodica Mathematica Hungarica》1995,30(3):171-176
It is consistent that 1(1,(:n))2 holds in any random extension for n finite and countable. 相似文献
15.
P. E. Markov 《Journal of Mathematical Sciences》1994,72(4):3191-3200
For a Cr,-immersion z:X E, r 2, 0 < < 1, of an n-dimensional (n 1) simply-connected Cr+2,-manifold X into Euclidean space E, the metric I(z) induced by z has a neighborhood in Cr,-topology in which every metric from a given subbundle of metrics is Cr,-immersible into E. In particular, it is proved that metric ds
0
2
of the Riemannian product of p spheres of dimensions 1, , p 2 has a neighborhood in C2,-topology from which any conformally equivalent metric to ds
0
2
, is immersible into E with dimE = 1 + +
p
+ p. The proofs are based on the investigation of a varied system of Gauss—Codazzi—Ricci equations for an infinitely small deformation of surface z(X) in E with a prescribed variation of the metric.Translated from Ukrainskii Geometricheskii Sbornik, No. 35, pp. 49–67, 1992. 相似文献
16.
Klaus Schmidt 《Probability Theory and Related Fields》1984,68(1):75-95
Summary LetT be a non-singular ergodic automorphism of a Lebesgue space (X,L,) and letf: X be a measurable function. We define the notion of recurrence of such a functionf and introduce the recurrence setR(f)={:f– is recurrent}. If
, then R()={0}, but in general recurrence sets can be very complicated. We prove various conditions for a number to lie in R(f) and, more generally, forR(f) to be non-empty. The results in this paper have applications to the theory of random walks with stationary increments. 相似文献
17.
L
p
, 0<<1, . 相似文献
18.
19.
20.
Karl -Ernst Biebler 《Analysis Mathematica》1989,15(2):75-104