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math.PR2026
A one-parameter family of local-time conditioned processes : the generalized Brownian burglars
Arthur Dremaux
We construct and characterize the one-parameter family of real-valued processes that allow to recover the law of a Brownian loop-soup of any intensity on the real line conditionall…
math.PR2026
Singularity of the loops within a cable-graph loop-soup conditioned by its occupation time
Arthur Dremaux
In this note, we show the following feature of the relation between Brownian loop-soups on cable-graphs and their total occupation time-field : When conditioned on , the cond…