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math.CA2026
Laplace Asymptotics near Stratified Minimum Sets
Pavel Ievlev
We develop a real Laplace method for integrals near a compact, possibly stratified, minimum set of the…
math.PR2026
Asymptotic Behavior of Path Functionals for Vector-Valued Gaussian Processes at High Levels
Pavel Ievlev, Timofei Shashkov, Svyatoslav Novikov
We study precise asymptotics for high-level exceedance probabilities of path functionals of continuous vector-valued Gaussian processes. The probabilities have the form $$ \mathbb{…