B. Siudeja

activity

20062016

most citedNeumann Heat kernel monotonicity

18 citations · 35 across the 10 of their papers we have counts for

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math.PR2009★ 2 cited

On the Traces of symmetric stable processes on Lipschitz domains

Rodrigo Banuelos, Tadeusz Kulczycki, Bartlomiej Siudeja

It is shown that the second term in the asymptotic expansion as $t \to 0$ of the trace of the semigroup of symmetric stable processes (fractional powers of the Laplacian) of order $…

math.PR2007★ 18 cited

Neumann Heat kernel monotonicity

R. Bañuelos, T. Kulczycki, B. Siudeja

We prove that the diagonal of the transition probabilities for the d-dimensional Bessel processes on (0, 1], reflected at 1, which we denote by $p_{R}^{N} (t, r, r)$ , is an increasing fu…

math.PR2006

Scattering length for stable processes

B. Siudeja

Let $α \in (0, 2)$ and $X_{t}$ be a symmetric $α$ -stable process. We define the scattering length $Γ (v)$ of the positive potential $v$ and prove several of its basic properties. We use…