scispace - formally typeset
Search or ask a question
JournalISSN: 0021-2172

Israel Journal of Mathematics 

Hebrew University of Jerusalem
About: Israel Journal of Mathematics is an academic journal published by Hebrew University of Jerusalem. The journal publishes majorly in the area(s): Banach space & Bounded function. It has an ISSN identifier of 0021-2172. Over the lifetime, 5814 publications have been published receiving 131938 citations.


Papers
More filters
Journal ArticleDOI
TL;DR: In this paper, the authors considered the limits of the uniform spanning tree and the loop-erased random walk (LERW) on a fine grid in the plane, as the mesh goes to zero.
Abstract: The uniform spanning tree (UST) and the loop-erased random walk (LERW) are strongly related probabilistic processes. We consider the limits of these models on a fine grid in the plane, as the mesh goes to zero. Although the existence of scaling limits is still unproven, subsequential scaling limits can be defined in various ways, and do exist. We establish some basic a.s. properties of these subsequential scaling limits in the plane. It is proved that any LERW subsequential scaling limit is a simple path, and that the trunk of any UST subsequential scaling limit is a topological tree, which is dense in the plane.

1,209 citations

Journal ArticleDOI
TL;DR: In this article, the maximum number of cliques possible in a graph with n nodes is determined and bounds are obtained for the number of different sizes of clique possible in such a graph.
Abstract: A clique is a maximal complete subgraph of a graph. The maximum number of cliques possible in a graph withn nodes is determined. Also, bounds are obtained for the number of different sizes of cliques possible in such a graph.

907 citations

Journal ArticleDOI
TL;DR: In this paper, the authors considered the setting of a map making "nice" return to a reference set, and defined criteria for the existence of equilibria, speed of convergence to equilibrium, and central limit theorem in terms of the tail of the return time function.
Abstract: The setting of this paper consists of a map making “nice” returns to a reference set. Criteria for the existence of equilibria, speed of convergence to equilibria and for the central limit theorem are given in terms of the tail of the return time function. The abstract setting considered arises naturally in differentiable dynamical systems with some expanding or hyperbolic properties.

794 citations

Journal ArticleDOI
TL;DR: In this article, conditions under which weak solutions of the initial-boundary value problem for the nonlinear wave equation will blow up in a finite time were investigated and sharp results were derived for certain classes of nonlinearities.
Abstract: A number of authors have investigated conditions under which weak solutions of the initial-boundary value problem for the nonlinear wave equation will blow up in a finite time. For certain classes of nonlinearities sharp results are derived in this paper. Extensions to parabolic and to abstract operator equations are also given.

700 citations

Journal ArticleDOI
TL;DR: In this paper, it was shown that any n point metric space is up to logn lipeomorphic to a subset of Hilbert space, and an example of ann point metric spaces which cannot be embedded in Hilbert space with distortion less than (logn)/(log logn) is given.
Abstract: It is shown that anyn point metric space is up to logn lipeomorphic to a subset of Hilbert space. We also exhibit an example of ann point metric space which cannot be embedded in Hilbert space with distortion less than (logn)/(log logn), showing that the positive result is essentially best possible. The methods used are of probabilistic nature. For instance, to construct our example, we make use of random graphs.

699 citations

Performance
Metrics
No. of papers from the Journal in previous years
YearPapers
202329
2022186
2021154
2020141
2019154
2018167