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pro vyhledávání: '"60F17"'
This paper investigates the long time dynamics of interacting particle systems subject to singular interactions. We consider a microscopic system of $N$ interacting point particles, where the time evolution of the joint distribution $f_N(t)$ is gover
Externí odkaz:
http://arxiv.org/abs/2411.08614
Autor:
Lutsko, Christopher, Toth, Balint
Consider the motion of a charged, point particle moving in the complement of a Poisson distribution of hard sphere scatterers in two dimensions under the effect of a fixed magnetic field. Building on, and extending a coupling method established by th
Externí odkaz:
http://arxiv.org/abs/2411.03984
We utilize an ergodic theory framework to explore sublinear expectation theory. Specifically, we investigate the pointwise Birkhoff's ergodic theorem for invariant sublinear expectation systems. By further assuming that these sublinear expectation sy
Externí odkaz:
http://arxiv.org/abs/2411.03512
We consider two-opinion voter models on dense dynamic random graphs. Our goal is to understand and describe the occurrence of consensus versus polarisation over long periods of time. The former means that all vertices have the same opinion, the latte
Externí odkaz:
http://arxiv.org/abs/2410.14618
From the observation of a diffusion path $(X_t)_{t\in [0,T]}$ on a compact connected $d$-dimensional manifold $M$ without boundary, we consider the problem of estimating the stationary measure $\mu$ of the process. Wang and Zhu (2023) showed that for
Externí odkaz:
http://arxiv.org/abs/2410.11777
Autor:
Glatzel, Tabea, Nagel, Jan
We show a central limit theorem for random walk on a Galton-Watson tree, when the edges of the tree are assigned randomly uniformly elliptic conductances. When a positive fraction of edges is assigned a small conductance $\varepsilon$, we study the b
Externí odkaz:
http://arxiv.org/abs/2410.08768
Our objective is to explore random walks on the general linear group, constrained to a specific domain, with a primary focus on establishing the conditioned local limit theorem. This paper marks the initial stride toward achieving this goal, specific
Externí odkaz:
http://arxiv.org/abs/2410.05812
Inspired by models for synchronous spiking activity in neuroscience, we consider a scaling-limit framework for sequences of strong Markov processes. Within this framework, we establish the convergence of certain additive functionals toward L\'evy sub
Externí odkaz:
http://arxiv.org/abs/2410.06383
We investigate random walks on the general linear group constrained within a specific domain, with a focus on their asymptotic behavior. In a previous work [21], we constructed the associated harmonic measure, a key element in formulating the local l
Externí odkaz:
http://arxiv.org/abs/2410.05897
Autor:
Kuwata, Lena
In this work, we introduce a spatial branching process to model the growth of the mycelial network of a filamentous fungus. In this model, each filament is described by the position of its tip, the trajectory of which is solution to a stochastic diff
Externí odkaz:
http://arxiv.org/abs/2409.13627