1 citations · 1 across the 1 of their papers we have counts for
5 papers
On squared Bessel particle systems
Piotr Graczyk, Jacek Malecki
We study the existence and uniqueness of SDEs describing squared Bessel particles systems in full generality. We define non-negative and non-colliding squared Bessel particle syste…
Fourier-Bessel heat kernel estimates
Jacek Malecki, Grzegorz Serafin, Tomasz Zorawik
We provide sharp two-sided estimates of the Fourier-Bessel heat kernel and we give sharp two-sided estimates of the transition probability density for the Bessel process in (0,1) k…
Sharp estimates of Green function of hyperbolic Brownian Motion
Kamil Bogus, Tomasz Byczkowski, Jacek Malecki
The main objective of the work is to provide sharp two-sided estimates of -Green function of hyperbolic Brownian motion of a half-space. We strongly rely on recent results obtai…
3-Body Dynamics in a (1+1) Dimensional Relativistic Self-Gravitating System
J. J. Malecki, R. B. Mann
The results of our study of the motion of a three particle, self-gravitating system in general relativistic lineal gravity is presented for an arbitrary ratio of the particle masse…
Chaos in an Exact Relativistic 3-body Self-Gravitating System
F. J. Burnell, J. J. Malecki, R. B. Mann +1
We consider the problem of three body motion for a relativistic one-dimensional self-gravitating system. After describing the canonical decomposition of the action, we find an exac…