A. Manita

activity

20062014

most citedIntrinsic scales for high-dimensional LEVY-driven models with non-Markovian synchronizing updates

3 citations · 5 across the 5 of their papers we have counts for

collaborators

6 papers

math.PR2014★ 3 cited

Intrinsic scales for high-dimensional LEVY-driven models with non-Markovian synchronizing updates

Anatoly Manita

We propose stochastic $N$ -component synchronization models $(x_{1} (t), ..., x_{N} (t))$ , $x_{j} \in R^{d}$ , $t \in R_{+}$ , whose dynamics is described by Levy processes…

math.PR2013★ 1 cited

Time Scales in Probabilistic Models of Wireless Sensor Networks

Anatoly Manita

We consider a stochastic model of clock synchronization in a wireless network consisting of N sensors interacting with one dedicated accurate time server. For large N we find an es…

math-ph2012

Phase transitions in the time synchronization model

Vadim Malyshev, Anatoly Manita

We continue the study of the time synchronization model from arXiv:1201.2141 . There are two types $i = 1, 2$ of particles on the line $R$ , with $N_{i}$ particles of type $i$ . Each pa…

math-ph2012

Asymptotic behaviour in the time synchronization model

Vadim Malyshev, Anatoly Manita

There are two types $i = 1, 2$ of particles on the line $R$ , with $N_{i}$ particles of type $i$ . Each particle of type $i$ moves with constant velocity $v_{i}$ . Moreover, any particle…

math.PR2010★ 1 cited

Time scales in large systems of Brownian particles with stochastic synchronization

Anatoly Manita

We consider a system $x (t) = (x_{1} (t), ..., x_{N} (t))$ consisting of $N$ Brownian particles with synchronizing interaction between them occurring at random time moments $\{τ_{n}\}_{n=…

math.PR2006

Long-time behavior of stochastic model with multi-particle synchronization

Anatoly Manita

We consider a basic stochastic particle system consisting of $N$ identical particles with isotropic $k$ -particle synchronization, $k \geq 2$ . In the limit when both number of partic…