Géza Németh, Géza Kiss, Bálint Tóth
In this paper we give proposals for extending SSML 1.0 so that it can be used to properly mark-up a broader range of languages, including the Hungarian language. The proposal includes extensions for...
M. Liggett, Jeffrey E. Steif, Bálint Tóth
We show that a large collection of statistical mechanical systems with quadratically represented Hamiltonians on the complete graph can be extended to infinite exchangeable processes. This extends a...
Triangle percolation in mean field random graphs -- with PDE (2007)
We apply a PDE-based method to deduce the critical time and the size of the giant component of the ``triangle percolation'' on the Erd\H{o}s-R\'enyi random graph process investigated by Palla,...
Self-Interacting Random Motions -- A Survey (2007)
. We present a survey of results concerning self-interacting random walks and self-repelling continuous random motions. A self-interacting random walk (SIRW) is a nearest neighbour walk on the...
Conjugate Diffusions On R<sub>+</sub> And Generalized Ray-Knight Processes (2007)
. We define the notion of conjugacy of a pair of diffusions on R+ . Typical examples of conjugate diffusions are pairs of squared Bessel processes of generalized dimension ffi, respectively 2 \Gamma...
Random trees and general branching processes (2007)
Anna Rudas, Bálint Tóth, Benedek Valkó
ABSTRACT: We consider a tree that grows randomly in time. Each time a new vertex appears, it chooses exactly one of the existing vertices and attaches to it. The probability that the new vertex...
Liggett, Thomas M., Steif, Jeffrey E., Tóth, Bálint
We show that a large collection of statistical mechanical systems with quadratically represented Hamiltonians on the complete graph can be extended to infinite exchangeable processes. This extends a...
No more than three favorite sites for simple random walk (2001)
We prove that, with probability 1, eventually there are no more than three favorite (i.e., most visited) sites of simple symmetric random walks. This partially answers a relatively longstanding...
Reflection and coalescence between independent one-dimensional Brownian paths (2000)
Florin Soucaliuc, Bálint Tóth, Wendelin Werner
Take two independent one-dimensional brownian motions (B t ; t 2 [0; 1]) and (fi t ; t 2 [0; 1]) with B0 = 0 and fi 0 = 0 (fi can be seen as running backwards in time). Define (fl t ; t 2 [0; 1]) as...
On Some Annihilating and Coalescing Systems (1997)
Alexei Ermakov, Bálint Tóth, Wendelin Werner
In the present paper we continue the investigation of the so-called Coalescing Ideal Gas in one dimension, initiated by the first author in [7]. The model consists of point-like particles moving with...
The True Self-repelling Motion (1997)
Bálint Tóth, Uperieure S Ormale, N Ecole, Wendelin Werner, Wendelin Werner
. We construct and study a continuous real-valued random process, which is of a new type: It is self-interacting (self-repelling) but only in a local sense: it only feels the self-repellance due to...
Limit Theorems For Weakly Reinforced Random Walks On ... (1997)
. The weakly reinforced random walk (WRRW) on the one-dimensional integer lattice Zstarts from the origin of the lattice and at each step it jumps to a neighbouring site, the probability of jumping...
We consider non-Markovian, self-interacting random walks (SIRW) on the one-dimensional integer lattice. The walk starts from the origin and at each step jumps to a neighboring site. The probability...
Improved Lower Bound On The Thermodynamic Pressure Of The Spin 1/2 Heisenberg Ferromagnet
. We introduce a new stochastic representation of the partition function of the spin 1/2 Heisenberg ferromagnet. We express some of the relevant thermodynamic quantities in terms of expectations of...