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We derive probabilistic limit theorems that reveal the intricate structure of the phase transitions in a mean-field version of the Blume–Emery–Griffiths model [Phys. Rev. A 4 (1971) 1071–1077]. These ...
The purpose of this paper is to prove connections among the asymptotic behavior of the magnetization, the structure of the phase transitions, and a class of polynomials that we call the Ginzburg–Landa...
Understanding the structure and evolution of web-based user-object bipartite networks is an important task since they play a fundamental role in online information filtering. In this paper, we focus o...
In manifold learning, algorithms based on graph Laplacians constructed from data have received considerable attention both in practical applications and theoretical analysis. In particular, the conv...
We investigate the dynamical transition from free-flow to jammed traffic, which is related to the divergence of the relaxation time and susceptibility of the energy dissipation rate $E_d$, in the Nage...
In this paper we present a method of computer investigation of chaotic behavior of stationary a-stable stochastic processes, i.e., an important class of processes with cadag trajectories. Our resul...
A Brownian motion on the Sierpiriski gasket gets absorbed at the boundary of a cloud of balls with centers distributed according to an independent Poisson law. The aim of this paper is to investiga...
We consider three new schemes of random splitting of a unit interval. These schemes am related to settings considered earlier in literature. Essentially we are concerned with asymptotic behavior of ...
We present an integral test to determine the limiting behavior of weighted sums of i.i.d. Rd-valued random vectors belonging to the (generalized) domain of operator semistable attraction of some no...
We present general results for the contact process by a method which applies to all transitive graphs of bounded degree, including graphs of exponential growth. The model infection rates are varied th...
This paper studies heavy traffic behavior of a G/G/1 last-in-first-out (LIFO) preemptive resume queue, by extending the techniques developed in Limic (1999). The queue length process exhibits a perhap...
We study the limit of a superprocess controlled by a stochastic flow as $ttoinfty$. It is proved that when $d le 2$, this process suffers long-time local extinction; when $dge 3$, it has a limit which...

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