Zobrazeno 1 - 10
of 368
pro vyhledávání: '"Schehr G"'
We study the statistics of the first passage of a random walker to absorbing subsets of the boundary of compact domains in different spatial dimensions. We describe a novel diagnostic method to quantify the trajectory-to-trajectory fluctuations of th
Externí odkaz:
http://arxiv.org/abs/1305.0637
Publikováno v:
Advances in Physics, Volume 62, No.3, pp 225-361 (2013)
In this review we discuss the persistence and the related first-passage properties in extended many-body nonequilibrium systems. Starting with simple systems with one or few degrees of freedom, such as random walk and random acceleration problems, we
Externí odkaz:
http://arxiv.org/abs/1304.1195
Publikováno v:
Nucl. Phys. B. 862, 167-192 (2012)
Sequential ballistic deposition (BD) with next-nearest-neighbor (NNN) interactions in a N-column box is viewed a time-ordered product of N\times N-matrices consisting of a single sl_2-block which has a random position along the diagonal. We relate th
Externí odkaz:
http://arxiv.org/abs/1110.3524
Publikováno v:
Phys. Rev. E 84, 035203(R) (2011)
We study the distribution function $P(\omega)$ of the random variable $\omega = \tau_1/(\tau_1 + ... + \tau_N)$, where $\tau_k$'s are the partial Wigner delay times for chaotic scattering in a disordered system with $N$ independent, statistically equ
Externí odkaz:
http://arxiv.org/abs/1109.1279
Publikováno v:
Physica A 390, 4340--4346 (2011)
We study the distribution P(\omega) of the random variable \omega = x_1/(x_1 + x_2), where x_1 and x_2 are the wealths of two individuals selected at random from the same tempered Paretian ensemble characterized by the distribution \Psi(x) \sim \phi(
Externí odkaz:
http://arxiv.org/abs/1106.4710
Publikováno v:
J. Stat. Mech. (2011) P06022
In this paper we study some aspects of search for an immobile target by a swarm of N non-communicating, randomly moving searchers (numbered by the index k, k = 1, 2,..., N), which all start their random motion simultaneously at the same point in spac
Externí odkaz:
http://arxiv.org/abs/1106.4182
Publikováno v:
J. Stat. Mech. (2010) P08024
First we consider a unidirectional flux \omega_bar of vehicles each of which is characterized by its `natural' velocity v drawn from a distribution P(v). The traffic flow is modeled as a collection of straight `world lines' in the time-space plane, w
Externí odkaz:
http://arxiv.org/abs/1006.2272
Publikováno v:
J. Stat. Mech., P08022 (2009)
Domain walls, optimal droplets and disorder chaos at zero temperature are studied numerically for the solid-on-solid model on a random substrate. It is shown that the ensemble of random curves represented by the domain walls obeys Schramm's left pass
Externí odkaz:
http://arxiv.org/abs/0905.4816
Publikováno v:
Proceeding of the national academy of sciences 106 (2009) 10511
The enormous increase of popularity and use of the WWW has led in the recent years to important changes in the ways people communicate. An interesting example of this fact is provided by the now very popular social annotation systems, through which u
Externí odkaz:
http://arxiv.org/abs/0902.2866
Publikováno v:
J. Stat. Mech. (2008) P10010
Let n points be chosen randomly and independently in the unit disk. "Sylvester's question" concerns the probability p_n that they are the vertices of a convex n-sided polygon. Here we establish the link with another problem. We show that for large n
Externí odkaz:
http://arxiv.org/abs/0807.4072