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vault/_talks/2025-invited-wroclaw.md

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abstract:
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topics:
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---
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## Abstract
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Understanding how long a stochastic system stays in a "safe" region is a core
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question in risk management, queueing and reliability. In this project we study
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high exceedance probabilities of the form
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the functionals themselves. The presentation will outline the main theorems,
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discuss the crucial assumptions, and illustrate the framework's applicability
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with examples. This work provides a unified approach to understanding extreme
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sojourns for a broad class of Gaussian models.
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## Materials
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- [Slides](assets/slides/2025-slides-SPA-conference.pdf)
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sojourns for a broad class of Gaussian models.

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