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of 1 587
pro vyhledávání: '"60J27"'
Autor:
Dhillon, M., Kataria, K. K.
In this paper, we study the composition of two independent GCPs which we call the iterated generalized counting process (IGCP). Its distributional properties such as the transition probabilities, probability generating function, state probabilities a
Externí odkaz:
http://arxiv.org/abs/2411.09257
Autor:
Kataria, K. K., Vishwakarma, P.
We study an immigration effect in the time-changed linear birth-death process where the immigration occurs only if the population goes extinct. We call this process as the time-fractional linear birth-death process with immigration (TFLBDPwI). Its tr
Externí odkaz:
http://arxiv.org/abs/2411.09005
In this paper, we consider semi-Markov processes whose transition times and transition probabilities depend on a small parameter $\varepsilon$. Understanding the asymptotic behavior of such processes is needed in order to study the asymptotics of var
Externí odkaz:
http://arxiv.org/abs/2411.04795
Autor:
Dai, Jim, Huo, Dongyan
This paper serves as a companion to "Asymptotic Product-form Steady-state for Multiclass Queueing Networks with SBP Service Policies in Multi-scale Heavy Traffic." In this short paper, we illustrate the main results of the main paper through a two-st
Externí odkaz:
http://arxiv.org/abs/2411.00930
Autor:
Baryshnikov, Yuliy, Onaran, Efe
We introduce a dynamic model where the state space is the set of contractible cubical sets in the Euclidian space. The permissible state transitions, that is addition and removal of a cube to/from the set, is locally decidable. We prove that in the p
Externí odkaz:
http://arxiv.org/abs/2410.22611
Autor:
Croydon, David A.
The $\lambda$-biased random walk on a binary tree of depth $n$ is the continuous-time Markov chain that has unit mean holding times and, when at a vertex other than the root or a leaf of the tree in question, has a probability of jumping to the paren
Externí odkaz:
http://arxiv.org/abs/2410.20776
We study the stochastic sandpile model on $\mathbb{Z}^d$ and demonstrate that the critical density is strictly less than one in all dimensions. This generalizes a previous result by Hoffman, Hu, Richey, and Rizzolo (2022), which was limited to the on
Externí odkaz:
http://arxiv.org/abs/2410.18905
Autor:
Gonçalves, P., Salvador, B.
We investigate the two-points correlation function for several boundary-driven interacting particle systems. Our goal is to show that the time evolution of that correlation function is solution to a partial differential equation that can be written i
Externí odkaz:
http://arxiv.org/abs/2410.17926
Autor:
Owada, Takashi, Samorodnitsky, Gennady
We extend the classical preferential attachment random graph model to random simplicial complexes. At each stage of the model, we choose one of the existing $k$-simplices with probability proportional to its $k$-degree. The chosen $k$-simplex then fo
Externí odkaz:
http://arxiv.org/abs/2410.17447
Autor:
Kataria, K. K., Vishwakarma, P.
We study a fractional birth-death process with state dependent birth and death rates. It is defined using a system of fractional differential equations that generalizes the classical birth-death process introduced by Feller (1939). We obtain the clos
Externí odkaz:
http://arxiv.org/abs/2410.17344