4 citations · 15 across the 14 of their papers we have counts for
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math.PR2022★ 2 cited
On the existence and regularity of local times
Tommi Sottinen, Ercan Sönmez, Lauri Viitasaari
We study the existence and regularity of local times for general -dimensional stochastic processes. We give a general condition for their existence and regularity properties. To…
math.PR2022★ 2 cited
The longest edge of the one-dimensional soft random geometric graph with boundaries
Arnaud Rousselle, Ercan Sönmez
The object of study is a soft random geometric graph with vertices given by a Poisson point process on a line and edges between vertices present with probability that has a polynom…
math.PR2022
Persistence probabilities of mixed FBM and other mixed processes
Frank Aurzada, Martin Kilian, Ercan Sönmez
We consider the sum of two self-similar centred Gaussian processes with different self-similarity indices. Under non-negativity assumptions of covariance functions and some further…