Tymoteusz Chojecki

activity

20112020

collaborators

4 papers

math.PR2020

A probabilistic proof of apriori $l^{p}$ estimates for a class of divergence form elliptic operators

Tymoteusz Chojecki, Tomasz Komorowski

Suppose that $L$ is a divergence form differential operator of the form $L f := (1/2) e^{U} \nabla_{x} \cdot [e^{- U} (I + H) \nabla_{x} f]$ , where $U$ is scalar valued, $I$ …

math.PR2018

Homogenization of an advection equation with locally stationary random coefficients

Tymoteusz Chojecki, Tomasz Komorowski

In the paper we consider the solution of an advection equation with rapidly changing coefficients $\partial_t u_\eps+(1/\eps)V(t\eps^{-2},x/{\eps})\cdot\nabla_x u_\eps=0$ for $t < T$ …

math.PR2018

Passive tracer in non-Markovian, Gaussian velocity field

Tymoteusz Chojecki

We consider the trajectory of a tracer that is the solution of an ordinary differential equation $\dot\bbX(t)=\bbV(t, \bbX(t)),\ X(0)=0$, with the right hand side, that is a statio…

math.PR2011

On the central limit theorem for some birth and death process

Tymoteusz Chojecki

Suppose that X_n, n>=0 is a stationary Markov chain and V is a certain function on a phase space of the chain, called an observanle. We say that the observable satisfies the centra…

A probabilistic proof of apriori lp estimates for a class of divergence form elliptic operators

Homogenization of an advection equation with locally stationary random coefficients

Passive tracer in non-Markovian, Gaussian velocity field

On the central limit theorem for some birth and death process

A probabilistic proof of apriori $l^{p}$ estimates for a class of divergence form elliptic operators