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Ergodic properties of Brownian motion under stochastic resetting.
Phys Rev E
December 2023
Grup de Física Estadística, Departament de Física, Facultat de Ciències, Universitat Autònoma de Barcelona, 08193 Barcelona, Spain.
We study the ergodic properties of one-dimensional Brownian motion with resetting. Using generic classes of statistics of times between resets, we find respectively for thin- or fat-tailed distributions the normalized or non-normalized invariant density of this process. The former case corresponds to known results in the resetting literature and the latter to infinite ergodic theory.
View Article and Find Full Text PDFBernoulli trial under restarts: A comparative study of resetting transitions.
Phys Rev E
November 2023
The Avram and Stella Goldstein-Goren Department of Biotechnology Engineering, Ben-Gurion University of the Negev, Be'er Sheva 84105, Israel.
A Bernoulli trial describing the escape behavior of a lamb to a safe haven in pursuit by a lion is studied under restarts. The process ends in two ways: either the lamb makes it to the safe haven (success) or is captured by the lion (failure). We study the first passage properties of this Bernoulli trial and find that only mean first passage time exists.
View Article and Find Full Text PDFSpectral and phase-coherence correlates of impaired auditory mismatch negativity (MMN) in schizophrenia: A MEG study.
Schizophr Res
November 2023
Department of Child and Adolescent Psychiatry, Charité-Universitätsmedizin Berlin, Augustenburgerplatz 1, 13353 Berlin, Germany; Institute of Neuroscience and Psychology, University of Glasgow, 58 Hillhead Street, G12 8QB Glasgow, Scotland, United Kingdom of Great Britain and Northern Ireland. Electronic address:
Background: Reduced auditory mismatch negativity (MMN) is robustly impaired in schizophrenia. However, mechanisms underlying dysfunctional MMN generation remain incompletely understood. This study aimed to examine the role of evoked spectral power and phase-coherence towards deviance detection and its impairments in schizophrenia.
View Article and Find Full Text PDFCognitive control enhancement in attention deficit hyperactivity disorder (ADHD) and neurotypical individuals.
Exp Brain Res
September 2023
The Gonda Brain Research Center and Psychology Department, Bar Ilan University, Ramat Gan, Israel.
Cognitive control, which has been localized to the right inferior frontal gyrus (rIFG) based on functional imaging and brain lesion studies, is impaired in patients with ADHD. The present study aims to investigate whether transcranial direct current stimulation (tDCS) over the rIFG might improve cognitive control in ADHD subjects. We hypothesized poorer performance in a cognitive control task, but not in a control language task, in the ADHD subjects.
View Article and Find Full Text PDFCapture of a diffusing lamb by a diffusing lion when both return home.
Phys Rev E
December 2022
The Avram and Stella Goldstein-Goren Department of Biotechnology Engineering, Ben-Gurion University of the Negev, Be'er Sheva 84105, Israel.
A diffusing lion pursues a diffusing lamb when both of them are allowed to get back to their homes intermittently. Identifying the system with a pair of vicious random walkers, we study their dynamics under Poissonian and sharp resetting. In the absence of any resets, the location of intersection of the two walkers follows a Cauchy distribution.
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