NeuroMat Seminar - Metastability and Multiscale Extinction Time on a Finite System of Interacting Stochastic Chains

We investigate the metastability and extinction time of a finite discrete- time system composed of a large number of interacting components. The system is Markovian with respect to the potential profiles of the components, which are simultaneously subject to leakage and gain effects. We show that the only invariant measure is the null configuration and that it is reached in finite time. Additionally, the system exhibits a metastable state and a metastable barrier, which governs the timescale of the system’s lifetime. We identify a critical parameter, below which the extinction time is independent of system size. Above this critical value, the extinction time depends on the number of components, exhibiting infinitely many scaling behaviors governed by a nontrivial relationship among leakage, gain, and system size.

Workshop Transcranial Magnetic Stimulation: Breakthroughs in Instrumentation and Neuromodulation

Transcranial Magnetic Stimulation: Breakthroughs in Instrumentation and Neuromodulation is a workshop organized by the Research, Innovation and Dissemination Center for Neuromathematics (NeuroMat) to discuss Transcranial Magnetic Stimulation (TMS) as a methodology to study brain behavior.

Seminar Open Science and Scientific Dissemination

On September 4th, RIDC NeuroMat will host the Seminar Open Science and Scientific Dissemination - Challenges and Opportunities. This will be a space dedicated to exploring the intersections between innovative research and best practices in education and scientific communication.

Postdoctoral fellowships

The Research, Innovation and Dissemination Center for Neuromathematics (NeuroMat), hosted by the University of São Paulo (USP), Brazil, and funded by the São Paulo Research Foundation (FAPESP), is offering two post-doctoral fellowships for recent PhDs with outstanding research potential. The fellowship will involve collaborations with research teams and laboratories associated with NeuroMat, strictly related to ongoing research lines developed by the NeuroMat, for more details visit our website. The project may be developed at the laboratories of USP, campuses of São Paulo or Ribeirão Preto, or at UNICAMP, Campinas, in person.

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