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

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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.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…