Distribution of hitting times for dissipative random dynamical systems on $\mathbb{R}^d$, with application to stochastic gradient descent 6ASPPVJP5M

URI	`m2://res/6ASPPVJP5M`
Kind	preprint
Creators	Stéphane Galatolo, Stéphane Chrétien
Date	2026-08-11
Subjects	arxiv stat.ML, arxiv cs.LG, arxiv math.DS
Scope	border

Expressions

Date	2026-08-11
Ids	arXiv 2609.30274

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
2Y4D58FR6N	statement	proposition 8	arxiv
4ZYEPW9V1P	definition	definition 4	arxiv
5RZVD7PEAM	statement	corollary 3	arxiv
Lasota--Yorke inequality for the perturbed operators	statement	lemma 10	arxiv
Exponential Foster--Lyapunov condition for sub-exponential noise	statement	proposition 16	arxiv
66HDMMKTRF	definition	definition 3	arxiv
68BT0594BB	statement	lemma 13	arxiv
693SY6AKD8	statement	proposition 11	arxiv
Exponential Foster--Lyapunov condition on $\mathbb{R}^d$	statement	proposition 14	arxiv
9GYVPBZ5FC	statement	proposition 5	arxiv
BA2Z017NNE	definition	definition 2	arxiv
FB0AK3MTE4	statement	proposition 12	arxiv
H0Q9NV6E8N	definition	definition 1	arxiv
Oscillation estimate for cylindrical holes	statement	lemma 9	arxiv
M84574R6XY	statement	proposition 7	arxiv
MF5P9PVQKB	statement	theorem 6	arxiv
Uniform large-shift estimate	statement	lemma 15	arxiv
Exponential hitting-time statistics for stochastic gradient descent	statement	corollary 4	arxiv
R0BX2YQNVZ	statement	theorem 1	arxiv
TMHHB324RH	statement	corollary 2	arxiv