10 papers · ranked by Valyu relevance
Jiyue Qin, Samuel Davenport, Armin Schwartzman
Functional Magnetic Resonance Imaging (fMRI) is commonly used to localize brain regions activated during a task. Methods have been developed for constructing confidence regions of image excursion sets, allowing inference on brain regions exceeding non-zero activation thresholds. However, these methods have been limited…
Thomas Maullin-Sapey, Armin Schwartzman, Thomas E Nichols
The analysis of excursion sets in imaging data is essential to a wide range of scientific disciplines such as neuroimaging, climatology, and cosmology. Despite growing literature, there is little published concerning the comparison of processes that have been sampled across the same spatial region but which reflect…
Ryan Cotsakis, Elena Di Bernardino, Thomas Opitz
We are interested in creating statistical methods to provide informative summaries of random fields through the geometry of their excursion sets. To this end, we introduce an estimator for the length of the perimeter of excursion sets of random fields on R 2 observed over regular square tilings. The proposed estimator…
A. M. Wisłocka, J. Stücker, O. Hahn, R. E. Angulo
The ΛCDM model predicts structure formation across a vast mass range, from massive clusters (∼ 1015 M⊙) to Earth-mass micro-haloes (∼ 10−6 M⊙), resolving which far exceeds the capabilities of current simulations. Excursion set models are the most efficient theoretical tool to disentangle this hierarchy in mass. We test…
Paul A. Jenkins, Jere Koskela, Jaromir Sant, Dario Spanò + 1 more
'Ivana Valentic'] ABSTRACT. In this work, we develop excursion theory for the Wright–Fisher diffusion with recurrent mutation. Our construction is intermediate between the classical excursion theory where all excursions begin and end at a single point and the more general approach considering excursions of processes…
Thierry Huillet, Servet Martı́nez
We study the number of individuals per level defined by excursions of random walks with state dependent jump law. These level numbers determine the probability of the excursion, and the set of transformations preserving the level numbers is, generically, the set of transformation that preserve the probability law of…
Alexander Drewitz, Olof Elias, Alexis Prévost, Johan Tykesson + 1 more
'Fredrik Viklund'] We study percolative properties of excursion processes and the discrete Gaussian free field (dGFF) in the planar unit disk. We consider discrete excursion clouds, defined using random walks as a two-dimensional version of random interlacements, as well as its scaling limit, defined using Brownian…
Armand Riera, Alejandro Rosales-Ortiz
We develop an excursion theory that describes the evolution of a Markov process indexed by a L´evy tree away from a regular and instantaneous point x of the state space. The theory builds upon a notion of local time at x that was recently introduced in [37]. Despite the radically different setting, our results exhibit…
Lara Koegst
The main focus of this article is on digital excursion formats at universities and their advantages with and without pandemic-related restrictions on teaching. The development of the application, its didactics and feedback from students are demonstrated using the example of the urban geography excursion developed as…
Edwin D.H.M. Reuvers, Huub Maas, Wendy Noort, Maarten F. Bobbert + 1 more
The average mechanical power output (AMPO) during a stretch-shortening cycle produced by a muscle depends on muscle length and stimulation over time. While the effects of cycle frequency and muscle length excursion on AMPO are well-known, several questions remain about the effects of muscle length and stimulation over…