Zobrazeno 1 - 10
of 600
pro vyhledávání: '"P. Baeumler"'
Autor:
Bäumler, Johannes
Consider independent long-range percolation on $\mathbb{Z}^d$ for $d\geq 3$. Assuming that the expected degree of the origin is infinite, we show that there exists an $N\in \mathbb{N}$ such that an infinite open cluster remains after deleting all edg
Externí odkaz:
http://arxiv.org/abs/2410.00303
Autor:
Bäumler, Johannes
We show that for long-range percolation with polynomially decaying connection probabilities in dimension $d\geq 2$, the critical value depends continuously on the precise specifications of the model. Among other things, we use this result to show tra
Externí odkaz:
http://arxiv.org/abs/2312.04099
Autor:
Bäumler, Johannes
We study independent long-range percolation on $\mathbb{Z}^d$ where the nearest-neighbor edges are always open and the probability that two vertices $x,y$ with $\|x-y\|>1$ are connected by an edge is proportional to $\frac{\beta}{\|x-y\|^s}$, where $
Externí odkaz:
http://arxiv.org/abs/2311.14352
Autor:
Zimmermann, Judith, Bäumler, Kathrin, Loecher, Michael, Cork, Tyler E., Marsden, Alison L., Ennis, Daniel B., Fleischmann, Dominik
Understanding the complex interplay between morphologic and hemodynamic features in aortic dissection is critical for risk stratification and for the development of individualized therapy. This work evaluates the effects of entry and exit tear size o
Externí odkaz:
http://arxiv.org/abs/2303.13639
Autor:
Bäumler, Johannes
Publikováno v:
Electron. J. Probab. 28, 1-24, (2023)
Let $X_1, X_2, \ldots$ be i.i.d. random variables with values in $\mathbb{Z}^d$ satisfying $\mathbb{P} \left(X_1=x\right) = \mathbb{P} \left(X_1=-x\right) = \Theta \left(\|x\|^{-s}\right)$ for some $s>d$. We show that the random walk defined by $S_n
Externí odkaz:
http://arxiv.org/abs/2209.09901
Autor:
Bäumler, Johannes
We study independent long-range percolation on $\mathbb{Z}^d$ for all dimensions $d$, where the vertices $u$ and $v$ are connected with probability 1 for $\|u-v\|_\infty=1$ and with probability $p(\beta,\{u,v\})=1-e^{-\beta \int_{u+\left[0,1\right)^d
Externí odkaz:
http://arxiv.org/abs/2208.04800
Autor:
Bäumler, Johannes
We study independent long-range percolation on $\mathbb{Z}^d$ where the vertices $u$ and $v$ are connected with probability 1 for $\|u-v\|_\infty=1$ and with probability $1-e^{-\beta \int_{u+\left[0,1\right)^d} \int_{u+\left[0,1\right)^d} \frac{1}{\|
Externí odkaz:
http://arxiv.org/abs/2208.04793
Publikováno v:
Frontiers in Neurology, Vol 15 (2024)
IntroductionPreviously, we had observed that immediate pain reduction after one acupuncture treatment was associated with high temporal summation of pain (TS) at a pain free control site and younger age in a mixed population of chronic pain patients.
Externí odkaz:
https://doaj.org/article/01341dedf5934eb9a505c758f10bf9d0
Autor:
Viviane Schmitt, Petra Baeumler, Anne Schänzer, Dominik Irnich, Benedikt Schoser, Federica Montagnese
Publikováno v:
Frontiers in Neurology, Vol 15 (2024)
IntroductionChronic muscle pain is common in myotonic dystrophies (DM). Little is known about its pathophysiology. We aimed to investigate the characteristics of the neuropathic pain component contributing contributes to the pathogenesis of chronic p
Externí odkaz:
https://doaj.org/article/a250bf98d893415db1839694d66670f1
We study a dynamic matching procedure where homogeneous agents arrive at random according to a Poisson process and form edges at random yielding a sparse market. Agents leave according to a certain departure distribution and may leave early by formin
Externí odkaz:
http://arxiv.org/abs/2206.10287