Zobrazeno 1 - 10
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pro vyhledávání: '"60G70"'
We consider large deviations of the cover time of the discrete torus $(\mathbb{Z}/N\mathbb{Z})^d$, $d \geq 3$ by simple random walk. We prove a lower bound on the probability that the cover time is smaller than $\gamma\in (0,1)$ times its expected va
Externí odkaz:
http://arxiv.org/abs/2411.16398
Both empirical and theoretical investigations of scale-free network models have found that large degrees in a network exert an outsized impact on its structure. However, the tools used to infer the tail behavior of degree distributions in scale-free
Externí odkaz:
http://arxiv.org/abs/2410.22703
Autor:
Kang, Taegyu, Owada, Takashi
A new estimator is proposed for estimating the tail exponent of a heavy-tailed distribution. This estimator, referred to as the layered Hill estimator, is a generalization of the traditional Hill estimator, building upon a layered structure formed by
Externí odkaz:
http://arxiv.org/abs/2411.05808
We consider an $N$-player game where the players control the drifts of their diffusive states which have no interaction in the noise terms. The aim of each player is to minimize the expected value of her cost, which is a function of the player's stat
Externí odkaz:
http://arxiv.org/abs/2410.18869
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
We introduce the extremal range, a local statistic for studying the spatial extent of extreme events in random fields on $\mathbb{R}^d$. Conditioned on exceedance of a high threshold at a location $s$, the extremal range at $s$ is the random variable
Externí odkaz:
http://arxiv.org/abs/2411.02399
Deriving properties of excursion time distributions of stochastic processes is vital in many fields, such as physics and engineering. However, obtaining analytical results is difficult for most processes. A common approximation method in physics is t
Externí odkaz:
http://arxiv.org/abs/2410.06000
Autor:
Girard, Stéphane, Pakzad, Cambyse
We propose an extreme dimension reduction method extending the Extreme-PLS approach to the case where the covariate lies in a possibly infinite-dimensional Hilbert space. The ideas are partly borrowed from both Partial Least-Squares and Sliced Invers
Externí odkaz:
http://arxiv.org/abs/2410.05517
Autor:
Hirsch, Christian, Owada, Takashi
This paper considers limit theorems associated with subgraph counts in the age-dependent random connection model. First, we identify regimes where the count of sub-trees converges weakly to a stable random variable under suitable assumptions on the s
Externí odkaz:
http://arxiv.org/abs/2409.05226
Autor:
Yang, Fan
In this paper, we study branching Brownian motion with absorption, in which particles undergo Brownian motions and are killed upon hitting the absorption barrier. We prove that the empirical distribution function of the maximum of this process conver
Externí odkaz:
http://arxiv.org/abs/2409.02479