Mateusz Kwaśnicki

activity

20102026

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Showing 2019Show all

4 papers · 1 filter

math.PR2019

Boundary traces of shift-invariant diffusions in half-plane

Mateusz Kwaśnicki

We study boundary traces of shift-invariant diffusions: two-dimensional diffusions in the upper half-plane $R \times [0, \infty)$ (or in $R \times [0, R)$ ) invari…

math.PR2019

Characterisation of the class of bell-shaped functions

Mateusz Kwaśnicki, Thomas Simon

A non-negative function $f$ is said to be 'bell-shaped' if $f$ tends to zero at $\pm \infty$ and the $n$ -th derivative of $f$ changes its sign $n$ times for every $n = 0, 1, 2, \ld…

math.AP2019

Harmonic extension technique for non-symmetric operators with completely monotone kernels

Mateusz Kwaśnicki

We identify a class of non-local integro-differential operators $K$ in $R$ with Dirichlet-to-Neumann maps in the half-plane $R \times (0, \infty)$ for appropriate…

math.PR2019

Random walks are determined by their trace on the positive half-line

Mateusz Kwaśnicki

We prove that the law of a random walk $X_{n}$ is determined by the one-dimensional distributions of $max (X_{n}, 0)$ for $n = 1, 2, \dots$ , as conjectured recently by Loïc Chaumont a…